Free Printable LEAP 2025 Geometry Review

1.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

2.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

3.

The three sides of triangle ABC measure 16 meters, 24 meters, and 29 meters. Is triangle ABC an acute, right, or obtuse triangle?

a)

Not a triangle

b)

Acute

c)

Obtuse

d)

Right

4.

Which of the following is NOT a rigid motion?

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

5.

What does the Triangle Sum Theorem state?

a)

Sides of a triangle add up to 180 degrees

b)

Interior angles of a triangle sum to 180 degrees

c)

Exterior angle is equal to the sum of the two opposite interior angles.

d)

Triangles are something we have learned

6.

What is the length of BC?

a)

10

b)

6

c)

12

d)

17.5

7.

Angles 1 and 3 are...

a)

verical angles

b)

corresponding angles

c)

perpendicular

8.

What is the area of the trapezoid?

a)

110 square inches

b)

60 square inches

c)

120 square inches

d)

100 square inches

9.

What is the correct notation for the figure shown?

a)

$\overrightarrow{VW}$

b)

$\overrightarrow{WV}$

c)

$\overline{VW}$

d)

$\overleftarrow{WV}$

10.

_{Find the value of angle A}

a)

25 degrees

b)

35 degrees

c)

45 degrees

d)

55 degrees

11.

What 3 are properties of a rhombus?

a)

all sides are congruent

b)

all angles are right angles

c)

the diagonals bisect the angles

d)

opposite angles are congruent

12.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

13.

Solve for x.

a)

9

b)

-7

c)

4

d)

6

14.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

15.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

16.

Describe the cross section.

a)

rectangle

b)

square

c)

oval

d)

circle

17.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

18.

What is the diameter?

a)

5 in

b)

10 in

c)

3.14 in

d)

15.84 in

19.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

20.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

21.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

22.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

23.

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

24.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

25.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

26.

a)

Area of a rectangle

b)

Area of a triangle

c)

Area of a trapezoid

27.

1/2 (b) *h

a)

Area of a square

b)

Area of a rectangle

c)

Area of a triangle

d)

Area of a parallelogram

28.

What is the perimeter of an Olympic-size swimming pool?

a)

150 m

b)

125 m

c)

135 m

d)

165 m

29.

Adam was painting a wall in his room. The wall was 4 feet wide and 4 feet tall. What is the area of the wall he has to paint?

a)

16ft

b)

8ft

c)

12ft

d)

4ft

30.

^_perimeter?

a)

30 units

b)

32 units

c)

24 units

d)

36 units

31.

_{Find the area.}

a)

28 square cm

b)

36 square cm

c)

40 square cm

d)

36 square feet

32.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

33.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

34.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

35.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

36.

Find the volume of the 3Dimensional shape

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

37.

What is the volume of the following triangular prism?

a)

45 cubic in

b)

36 cubic in

c)

108 cubic in

d)

54 cubic in

38.

Find the volume.

a)

13680 m³

b)

684 m³

c)

1140 m³

d)

228 m³

39.

Find the volume of a HEMIsphere with a radius of 4.

a)

85.3π

b)

62.67π

c)

42.67π

d)

8π

40.

What is the volume of the composite solid?

a)

301.6 cm³

b)

502.7 cm³

c)

268.1 cm³

d)

167.6 cm³

41.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

42.

Select the 2D object that can be rotated to form the 3D object shown.

a)

b)

c)

d)

43.

Which 3-D solid is created when the rectangle is rotated about the horizontal line?

a)

b)

c)

d)

44.

The right triangle as shows is rotated $360\degree$ about the $y-axis$ in three dimensions. What is the 3-Dimensional solid resulting from the rotation?

a)

cone

b)

cylinder

c)

pyramid

d)

prism

45.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

46.

What is the cross section depicted here?

a)

Square

b)

Triangle

c)

Pyramid

d)

plane

47.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)

b)

c)

d)

48.

Which of the following shows a TRIANGLE cross-section?

a)

b)

c)

d)

49.

Identify the cross section.

a)

b)

c)

d)

50.

Which of the following constructions is illustrated?

a)

An angle is congruent to a given angle

b)

The bisector of a given angle

c)

The bisector of a given segment

d)

The perpendicular bisector of a given segment.

51.

a)

parallel lines

b)

perpendicular lines

c)

intersecting lines

d)

a ray

52.

a)

parallel lines

b)

perpendicular lines

c)

a parallelogram

d)

a ray

53.

Rotating a pre-image _____degrees will place it back to its original position.

a)

180

b)

90

c)

270

d)

360

54.

Describe the transformation shown in the graph.

a)

Reflect over x-axis

b)

Reflect over y-axis

c)

Rotate 270 degrees CCW

d)

Rotate 90 degress CCW

55.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

56.

Translate the point A (-3, 4) right 5 and up 1

a)

(-2, 9)

b)

(-8, 5)

c)

(8, 3)

d)

(2, 5)

57.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

58.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

59.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

60.

Find the value of X.

a)

60

b)

120

c)

85

d)

55

61.

Classify this polygon

a)

Regular

b)

Irregular

62.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

63.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

64.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

65.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

66.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

LEAP 2025 Geometry Review

Total questions: 66

Worksheet time: 5hrs 27mins

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