Free Printable Geometry Final Review

1.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

2.

What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

3.

An exterior angle of a regular polygon
measures 36°. How many sides does
the polygon have?

a)

10

b)

5

c)

14

d)

9

4.

Find the measureof the sum of the exterior angles in a hexagon

a)

360

b)

180

c)

720

d)

540

5.

Find the value of x

a)

141

b)

150

c)

135

d)

163

6.

What is the sum of the exterior angles of a decagon

a)

1440

b)

360

c)

540

d)

720

7.

Find the sum of interior angles in a heptagon

a)

900

b)

720

c)

540

d)

180

8.

Find the value of X

a)

94

b)

25

c)

36

d)

180

9.

What is the measure of each interior angle of a regular octagon?

a)

135

b)

180

c)

145

d)

190

10.

What is the formula for the sum of interior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

11.

A polygon with 8 sides is called a(n) __________________.

a)

octagon

b)

decagon

c)

heptagon

d)

dodecagon

12.

Solve for x.

a)

100

b)

120

c)

125

d)

130

13.

Find the measure of the angle x.

a)

105

b)

115

c)

65

d)

75

14.

Convex or Concave?

a)

convex

b)

concave

15.

Convex or Concave?

a)

convex

b)

concave

16.

Is it convex or concave?

a)

concave

b)

convex

17.

Is it concave or convex?

a)

concave

b)

convex

18.

If my diameter is 19 inches, what is my radius?

a)

38 inches

b)

9.5 inches

c)

59.66 inches

d)

119.32 inches

19.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

20.

Find the area of this circle

a)

615.8

b)

153.9

c)

307.9

d)

721.9

21.

If TR is 11ft, find the length of arc PS

a)

24.54 ft

b)

31.49 ft

c)

37.43

d)

36.08 ft

22.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

23.

Find the area of the circle below.

a)

8.76 cm²

b)

18.52 cm²

c)

21.90 cm²

d)

28.26 cm²

24.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

25.2 in²

b)

28.5 in²

c)

31.4 in²

d)

38.2 in²

25.

What is the area of the shaded SECTOR? Round to the nearest hundredth.

a)

9.42 u²

b)

113.10 u²

c)

284.3 u²

d)

452.39 u²

26.

What is the correct ratio you would use to solve for "w"?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

27.

Which trig function would you use to solve this problem for "x"?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

28.

Find the triangle similar to △ABC

a)

b)

c)

d)

29.

What is the scale factor from triangle ABC to triangle DEF?

a)

1/2

b)

7/3

c)

2/1

d)

10/3

30.

If the scale factor is 4, what is the measurement of x?

a)

20 m

b)

24 m

c)

16 m

d)

4 m

31.

a)

72

b)

67

c)

65

d)

54

32.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the ratio is the appropriate for the problem?

a)

$\tan\theta=\frac{opposite}{hypotenuse}$

b)

$\sin\theta=\frac{opposite}{hypotenuse}$

c)

$\cos\theta=\frac{adjacent}{hypotenuse}$

33.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

34.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

35.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

36.

Point (7,2) is translated vertically 2 units and horizontally -5 units. Where is the new point located?

a)

(9,-3)

b)

(2,4)

c)

(2,0)

d)

12,4)

37.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

38.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

39.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

40.

If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

41.

What is the value of x?

a)

8

b)

22.5

c)

11.25

d)

60

42.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Side Splitter

43.

Are the triangles similar?

a)

Yes

b)

No

44.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

45.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

46.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

47.

Find the area of the sector, rounding your answer to 1d.p.

a)

176.7cm²

b)

23.6cm²

c)

156.7cm²

d)

88.4cm²

48.

Find the area of the sector, rounding your answer to 1d.p.

a)

8.9cm²

b)

9.0cm²

c)

11.4cm²

d)

11.3cm²

49.

Find angle x

a)

247^o

b)

67^o

c)

157^o

d)

203^o

50.

Find angle x

a)

215^o

b)

35^o

c)

125^o

d)

85^o

51.

Find angle x

a)

156^o

b)

125^o

c)

170^o

d)

80^o

52.

Find the size of angle x

a)

108^o

b)

120^o

c)

90^o

d)

144^o

53.

Find the size of angle x

a)

135^o

b)

150^o

c)

144^o

d)

140^o

54.

What is the ratio for Sine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Adjacent Leg / Opposite Leg

55.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

Geometry Final Review

Total questions: 55

Worksheet time: 2hrs 29mins

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