Free Printable Geometry finals review day 3

Worksheets

Geometry finals review day 3

Total questions: 71

Worksheet time: 5hrs 43mins

Name

Class

Date

What segment is parallel to EF?

Segment PM

Segment MN

Segment NP

Segment FG

QR is a midsegment of triangle WUV. What is the length of segment QR?

QR is a midsegment of triangle BCD. Solve for the value of x.

-7

If LN = 5, then AC = ______.

When SR = 68, what is CA?

136

When AB = 16, what is QS?

Name the parallel segment.

If AC=42, find DF

Find x

x = 15

x = 13

x = 12

x = 11

10.

What is the measurement of the missing angle?

120

11.

What are vertical angles?

Angles that are adjacent to each other

Angles that add up to 180°

Angles that are opposite of each other when lines intersect

Angles that add up to 90°

12.

Solve for x

13.

Tell whether the angles are complementary or supplementary. Then find the value of x.

Complementary; x=25

Complementary; x=5

Supplementary; x=25

Supplementary; x=5

14.

Solve for angle 2

110

115

15.

Solve for x

120

180

16.

Tell whether the angles are complementary or supplementary. Then find the value of x.

Complementary, 15

Supplementary, 16

Complementary, 18

Supplementary, 19

17.

These angles are ___________.

Angle 1= 62 degrees

Angle 2= 30 degrees

Complementary

Supplementary

Neither

18.

Which are pairs of adjacent angles?

∠COB & ∠DOA

∠AOD & ∠AOC

∠COB & ∠AOD

∠BOD & ∠AOC

19.

What angle pair is pictured?

Supplementary Angles

Adjacent Angles

Vertical Angles

Complementary Angles

20.

Are angle ABC and angle CBD adjacent, vertical, or neither?

Adjacent

Vertical

Neither

21.

Classify the triangle by its sides and angles. (Figure not drawn to scale)

scalene, acute

isosceles, obtuse

isosceles, acute

scalene, obtuse

22.

Classify the triangle as acute, equiangular, obtuse, or right.

acute

equiangular

obtuse

right

23.

Triangle LMN is an isosceles triangle, where angle L is the vertex angle (make a note of this. Vertex angle would be the vertex shared between the two congruent sides. Which means that LM will be equal to LN)

LM = 3x – 2, LN = 2x + 1, and MN = 5x – 2.

Find x

0.3

24.

Triangle FGH is an equilateral triangle with FG = x + 5, GH = 3x – 9, and FH = 2x – 2. Find the value of x.

25.

Describe the cross section.

rectangle

trapezoid

oval

parallelogram

26.

Describe the cross section.

triangle

rectangle

trapezoid

square

27.

Describe the cross section.

trapezoid

triangle

rectangle

square

28.

What shape will the angled cross-section of a rectangular pyramid be?

Triangle

Rectangle

Trapezoid

Square

29.

Which answer correctly uses the formula to find the volume of the figure shown?

$3.14\ \cdot\ 9^2\cdot\ 17$

$3.14\ \cdot\ 4.5^2\cdot17$

$3.14\ \cdot\ 17^2\cdot\ 9$

$3.14\ \cdot\ 8.5^2\cdot9$

30.

Find the lateral surface area of the figure.

456 m²

1444 m²

1245 m²

816.8 m²

31.

Find the Total Surface area of the cylinder.

62.8m

477.52 cm²

235.5 cm³

942 cm²

32.

A soup can has a radius of 2.5 inches and a height of 5 inches. How much metal is needed to make the can?

119.5 inches ²

122.75 inches ²

78.5 inches ²

117.81 inches ²

33.

Find the total surface area of the prism.

48 square inches

64 square inches

88 square inches

76 square inches

34.

What does "P" stand for in the surface area formulas?

Perimeter of the area

Parallel

Perimeter of the Base

35.

Lateral surface area is ________________

The area of just the bases of the prism/cylinder

The combined area of all the faces of the prism/cylinder

The combined area of all the faces EXCEPT for the bases

36.

B stands for ________________

Area of the base

Perimeter of the base

Area of the prism/cylinder

Perimeter of the prism/cylinder

37.

Find the total surface area of the prism.

161 square feet

1,700 square feet

75 square feet

186 square feet

38.

Find the volume of the cone.

113.04

37.68

12.57

75.42

39.

Find the volume of the Sphere

78.5 m³

392.5 m³

523.6 m³

62.8 cm³

40.

Look carefully at the figure. What is the measure of A'B'C'?

40 degrees

75 degrees

45 degrees

70 degrees

41.

Which pair of polygons is definitely similar?

42.

Solve the proportion. x = (a)

43.

What is the value of a?

1.25

1.5

1.875

44.

Which is the best definition of similarity?

If two figures have congruent corresponding angles, they are similar.

If two figures have proportional side lengths, they are similar.

If there's a sequence of rigid transformations that take one figure to another, they are similar.

If there's a sequence of rigid transformations and dilations that take one figure to another, they are similar.

45.

Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. The lengths of the sides of DEF are shown. What is the length of BC?

46.

Look carefully at the figure. If angle BCA = $65\degree$ what is the measure of angle BAC?

40 degrees

60 degrees

65 degrees

75 degrees

47.

Right angle ABC is taken by a dilation with center P and scale factor 1/3 to angle A'B'C'. What is the measure of angle A'B'C'?

90 degrees

60 degrees

30 degrees

180 degrees

48.

Determine the scale factor from the left figure to the right figure.

4/3

3/4

2/3

3/2

49.

What is the scale factor from ΔDEF to ΔABC?

1/2

7/3

10/3

50.

Two objects that are the same shape but not the same size are _______.

Congruent

Vertical

Similar

Complementary

51.

What is the scale factor from the large triangle to the small triangle?

1/2

2/3

3/4

52.

Triangle STU is a dilation of Triangle PQR. What is the scale factor in the dilation?

3/4

1/2

1.5

53.

What is the scale factor from the small shape to the big shape?

1/2

7/3

10/3

54.

The pair of figures is similar. Find the missing side.

x = 20

x = 12

x = 5

x = 4

55.

Find side length X.

22.5

7.5

56.

Use a calculator to solve. Round to the nearest hundredth.

Sin 8

.14

.13

.15

57.

Use a calculator to solve. Round to the nearest hundredth.

cos 59

.51

1.66

.52

.86

58.

Use a calculator to solve. Round to the nearest hundredth.

sin 54.6

.81

.58

1.41

.82

59.

Give the trig ratio as a fraction in simplest form.

What is Sin Q ?

7/25

14/50

50/14

60.

Give the trig ratio as a fraction in simplest form.

What is Sin A ?

5/13

12/ 13

13/ 5

61.

Give the trig ratio as a fraction in simplest form.

What is Cos A ?

5/13

12/13

13/5

62.

Give the trig ratio as a fraction in simplest form.

What is Tan A ?

5/13

12/13

5/ 12

63.

Give the trig ratio as a fraction in simplest form.

What is Sin C ?

5/13

12/13

5/ 12

64.

Give the trig ratio as a fraction in simplest form.

What is Cos C ?

5/13

12/13

5/ 12

65.

Give the trig ratio as a fraction in simplest form.

What is Tan C ?

5/13

12/13

12/ 5

66.

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

Sin

Cos

Tan

67.

How would you solve for "x"

Tan 48 = x/17

Cos 48 = 17/ x

Sin 48 = x/ 17

68.

Solve for x.

Make sure your calculator is in DEG. Mode.

x=0.06

x= 18.9

69.

How would you set up an equation using trigonometry to solve for "x"

Cos 90 = 26/ x

Cos 21 = x/ 26

Tan 21= 26/ x

70.

Solve for "x"

x= .89

x= 26

x= 24.3

71.

Solve for "x"

x= 26.7

x = Sin 67

x= .92

Reset

Geometry finals review day 3

Total questions: 71

Worksheet time: 5hrs 43mins

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