Math LATEX QA - Geometry

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$5$
$-3$
$\frac{3}{2}$
$\frac{2}{3}$

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A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

4 feet
32 feet
40 feet
56 feet

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A square pyramid how many number of faces?

3
4
5
9

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All ___________ are rectangles but not all rectangles are _____________.

squares … squares
circles … circles
parallelograms … parallelograms
quadrilaterals … quadrilaterals

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What is the next term in the geometric sequence 32, -8, 2, ____?

1/2
1/4
– 1/2
– 1/4

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Solve for x in the following diagram.

$42^{\circ}$
$50^{\circ}$
$88^{\circ}$
$138^{\circ}$

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Two parallelograms are similar. If the first one has a base of 4.5 cm and a height of 3 cm, and the second one has a base of 9 cm, what is the height of the second?

2.25 cm
6 cm
7.5 cm
13.5 cm

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A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, the length of its base is ________ inches.

3
4.5
6
18

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What is the volume of the following square pyramid given that the side of the base is 3 units and the height is 10 units?

30 square units
45 square units
60 square units
270 square units

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Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

are not parallel, they they intersect
intersect, then they are not parallel
are not parallel, then they will never intersect
do not intersect, then they are parallel

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A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, what is the length of its base?

3 inches
18 inches

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$\frac{2}{3}$
$\frac{3}{2}$
$-3$
$5$

A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

40 feet
32 feet
56 feet
4 feet

A square pyramid how many number of faces?

5
4
3
9

All ___________ are rectangles but not all rectangles are _____________.

squares … squares
quadrilaterals … quadrilaterals
parallelograms … parallelograms
circles … circles

What is the next term in the geometric sequence 32, -8, 2, ____?

52
42
87
142

Solve for x in the following diagram.

$42^{\circ}$
$50^{\circ}$
$88^{\circ}$
$138^{\circ}$

Two parallelograms are similar. If the first one has a base of 4.5 cm and a height of 3 cm, and the second one has a base of 9 cm, what is the height of the second?

6 cm
7.5 cm
2.25 cm
13.5 cm

A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, what is the length of its base?

3 inches
6 inches
4.5 inches
18 inches

What is the volume of the following square pyramid given that the side of the base is 3 and the height is 10?

30 square units
45 square units
60 square units
270 square units

Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

$80 + 12.5 \pi$
$80 + 25\pi$
$40 + 12.5\pi$
$36 + 10\pi$

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$\frac{2}{3}$
$\frac{3}{2}$
$-3$
$5$

A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

40 feet
32 feet
56 feet
4 feet

A square pyramid how many number of faces?

5
4
3
9

All ___________ are rectangles but not all rectangles are _____________.

squares … squares
quadrilaterals … quadrilaterals
parallelograms … parallelograms
circles … circles

What is the next term in the geometric sequence 32, -8, 2, ____?

– 1/2
1/2
– 1/4
1/4

Solve for x in the following diagram.

$42^{\circ}$
$50^{\circ}$
$88^{\circ}$
$138^{\circ}$

Two parallelograms are similar. If the first one has a base of 4.5 cm and a height of 3 cm, and the second one has a base of 9 cm, what is the height of the second?

6 cm
7.5 cm
2.25 cm
13.5 cm

A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, what is the length of its base?

3 inches
6 inches
4.5 inches
18 inches

What is the volume of the following square pyramid given that the side of the base is 3 and the height is 10?

30 square units
45 square units
60 square units
270 square units

Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

intersect, then they are not parallel
do not intersect, then they are parallel
are not parallel, then they intersect
are not parallel, then they will never intersect

A rectangle has a perimeter of 50. If the length of one set of sides is 10, what is the length of the other set of sides?

15
20
40
5

Which quadrilateral has congruent diagonals that are perpendicular to each other?

Square
Rhombus
Rectangle
Pentagon

Square ABCD has an area of $16 m^{2}$ . If Square ABCD and Square EFGH have a scale factor of 1:2 respectively, what is the area of Square EFGH?

$64m^{2}$
$32m^{2}$
$48m^{2}$
$4m^{2}$

If the point (3,6) is reflected over the x-axis then shifted left 7 units, what coordinate represents the resulting point?

$(-4,-6)$
$(-6,-4)$
$(10,-6)$
$(10,6)$

If a circular region with a radius of 6 is divided into 6 equal sectors, what is the area of each sector? Use 3.14 for $\pi$ .

18.84
6.28
56.52
678.24

Circle P is dilated by a factor of 3. If the pre-image has a radius of 5, what is the diameter of the image?

$30$
$15$
$45$
$\frac{5}{3}$

There is a famous Greek chocolate bar that is molded in the shape of a triangular prism. A couple wants to give out these bars to some friends, but wanted to re-wrap the sides, not the ends, in their own design. If the triangles on the end are equilateral with a side length of 3 cm, and the length of the bar is 15 cm, what will be the area of their custom wrap be?

$135 cm^2$
$120 cm^2$
$90 cm^2$
$15 cm^2$

The coordinate points of a rectangle are A (1,5) B (1,9) C (7,5) and D (7,9). If the rectangle is reflected over the y-axis and then reflected over the x-axis, which coordinate point would represent the new C point?

$(-7,-5)$
$(7,-5)$
$(-7,5)$
$(7,5)$

Triangle ABC has side lengths of 7, 24, and 25. Therefore, it can be classified as ____________ triangle.

a right
an acute
an obtuse
an equilateral

Janet wants to fence in a rectangular pasture along a river. The side along the river, which is the longer side, does not need to be fenced. If she has 90 feet of fencing to work with, what dimensions will give her the greatest area for her pasture?

length = 45 ft ; width = 22.5 ft
length = 30 ft ; width = 30 ft
length = 45 ft ; width = 45 ft
length = 90 ft ; width = 90 ft

If a cylinder has a diameter of 8 cm and a height of 12 cm, how much liquid would you need to fill three-quarters of the cylinder? Use 3.14 for $\pi$

452.16 cubic centimeters
602.88 cubic centimeters
254.34 cubic centimeters
1,808.64 cubic centimeters

The surface area of a square pyramid is 75 square feet. If each triangular side has an area of 12 square feet, what is the area of the base?

27 square feet
25 square feet
15 square feet
72 square feet

If point A (3, -2) is reflected over the line y = 1, then A is represented by which point?

(3 , 4)
(3 , 2)
(-3, -2)
(0, 0)

If a garden is shaped like a rectangle with the shorter sides measuring 6 feet each and the perimeter measuring 40 feet, what is the length of the longer side of the garden?

14
17
16
34

Each of the internal angles of an equilateral triangle equals ________ degrees.

60
180
120
360

A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, what is the length of its base?

3 inches
6 inches
4.5 inches
18 inches

A trapezoid (trapezium) features how many pairs of parallel sides?

1
2
3
4

The surface area of a square pyramid is 75 square feet. If each triangular side has an area of 12 square feet, what is the area of the base?

27 square feet
25 square feet
15 square feet
72 square feet

There is a building 200 feet tall that is casting a shadow 50 feet long. A nearby tree is casting a shadow 10 feet long. How tall is the tree?

40 feet
160 feet
400 feet
4 feet

Two parallelograms are similar. If the first one has a base of 6 and height of 4, and the second one has a base of 9, what is the height of the second?

6
4
8
12

Alexi wants to lay fresh sod down in her rectangular pasture. She knows the perimeter of the pasture totals 76 feet, with the shorter side measuring 12 feet. How many square feet of sod are needed to cover the entire pasture?

312 square feet
384 square feet
38 square feet
275 square feet

If a rectangle has a width that is three less than it’s length, and the perimeter of that rectangle is 14, what is the rectangle’s area?

10
40
88
27

A rectangular pen has a perimeter of 64 feet. The length of the pen is 5 feet longer than the width. What is the area of the pen?

249.75 square feet
336 square feet
434.75 square feet
32 square feet

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$5$
$\frac{2}{3}$

A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

4 feet
40 feet

A square pyramid how many number of faces?

5
9

All ___________ are rectangles but not all rectangles are _____________.

squares … squares
parallelograms … parallelograms
circles … circles

What is the next term in the geometric sequence 32, -8, 2, ____?

52
87
142

Solve for x in the following diagram.

$42^{\circ}$
$88^{\circ}$
$138^{\circ}$

A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, what is the length of its base?

3 inches
4.5 inches
6 inches
18 inches

What is the volume of the following square pyramid given that the side of the base is 3 and the height is 10?

30 square units
45 square units
60 square units
270 square units

Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

$36 + 10\pi$
$40 + 12.5\pi$
$80 + 12.5 \pi$
$80 + 25\pi$

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$5$
$-3$
$\frac{3}{2}$
$\frac{2}{3}$

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A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

4 feet
32 feet
40 feet
56 feet

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A square pyramid how many number of faces?

3
4
5
9

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All ___________ are rectangles but not all rectangles are _____________.

squares … squares
circles … circles
parallelograms … parallelograms
quadrilaterals … quadrilaterals

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What is the next term in the geometric sequence 32, -8, 2, ____?

1/2
1/4
– 1/2
– 1/4

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Solve for x in the following diagram.

$42^{\circ}$
$50^{\circ}$
$88^{\circ}$
$138^{\circ}$

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A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, the length of its base is ________ inches.

3
4.5
6
18

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What is the volume of the following square pyramid given that the side of the base is 3 units and the height is 10 units?

30 square units
45 square units
60 square units
270 square units

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Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

are not parallel, they they intersect
intersect, then they are not parallel
are not parallel, then they will never intersect
do not intersect, then they are parallel

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Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$5$
$\frac{2}{3}$

A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

4 feet
40 feet

A square pyramid how many number of faces?

5
9

All ___________ are rectangles but not all rectangles are _____________.

squares … squares
circles … circles
quadrilaterals … quadrilaterals

What is the next term in the geometric sequence 32, -8, 2, ____?

42
52
142

Solve for x in the following diagram.

$42^{\circ}$
$50^{\circ}$
$138^{\circ}$

A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, what is the length of its base?

3 inches
4.5 inches
6 inches
18 inches

What is the volume of the following square pyramid given that the side of the base is 3 and the height is 10?

30 square units
45 square units
60 square units
270 square units

Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

$36 + 10\pi$
$40 + 12.5\pi$
$80 + 12.5 \pi$
$80 + 25\pi$

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$5$
$-3$
$\frac{3}{2}$
$\frac{2}{3}$

Algebra
Geometry

A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

4 feet
32 feet
40 feet
56 feet

Geometry
Data

A square pyramid how many number of faces?

3
4
5
9

Geometry
Data

All ___________ are rectangles but not all rectangles are _____________.

squares … squares
circles … circles
parallelograms … parallelograms
quadrilaterals … quadrilaterals

Algebra
Geometry
Measurement

What is the next term in the geometric sequence 32, -8, 2, ____?

1/2
1/4
– 1/2
– 1/4

Algebra
Geometry
Measurement

Solve for x in the following diagram.

$42^{\circ}$
$50^{\circ}$
$88^{\circ}$
$138^{\circ}$

Numbers
Algebra
Geometry

A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, the length of its base is ________ inches.

3
4.5
6
18

Numbers
Algebra
Geometry
Data

What is the volume of the following square pyramid given that the side of the base is 3 units and the height is 10 units?

30 square units
45 square units
60 square units
270 square units

Algebra
Geometry
Measurement
Data

Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

are not parallel, they they intersect
intersect, then they are not parallel
are not parallel, then they will never intersect
do not intersect, then they are parallel

Numbers
Algebra
Geometry
Measurement

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$\frac{3}{2}$
$\frac{2}{3}$

A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

32 feet
40 feet

A square pyramid how many number of faces?

5
9

All ___________ are rectangles but not all rectangles are _____________.

squares … squares
parallelograms … parallelograms
quadrilaterals … quadrilaterals

What is the next term in the geometric sequence 32, -8, 2, ____?

42
52
87

Solve for x in the following diagram.

$42^{\circ}$
$50^{\circ}$
$88^{\circ}$

A triangle has a base that is half the length of its height. If the triangle has an area of 9 square inches, what is the length of its base?

3 inches
4.5 inches
6 inches
18 inches

What is the volume of the following square pyramid given that the side of the base is 3 and the height is 10?

30 square units
45 square units
60 square units
270 square units

Which of the pair of statements follows logically?

If two lines are parallel, then they will never intersect.
Therefore, if two lines ____________________.

$36 + 10\pi$
$40 + 12.5\pi$
$80 + 12.5 \pi$
$80 + 25\pi$

The question below is most related to which competency?

Consider the similar images, $\Delta ABC \sim \Delta DEF$ . If $AB = 6, BC = 10, EF = 15,$ and $DE = 9,$ what is the scale factor going from $\Delta DEF$ to $\Delta ABC$ ?

$5$
$-3$
$\frac{3}{2}$
$\frac{2}{3}$

Geometry
Algebra
Data

The question below represents which competency?

A tent is pitched with one pole in the center and 4 cords running from the top of the center pole down to the ground in all 4 corners. The center pole is 8 feet tall. If the cords are fastened to the ground 6 feet from the center pole, how many feet of cord is needed to pitch the tent?

4 feet
32 feet
40 feet
56 feet

Geometry
Algebra
Data

The question below is most related to which competency?

A square pyramid how many number of faces?

3
4
5
9

Geometry
Algebra
Data

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