Free Printable HONORS Spring final review overall

1.

Find the value of x

a)

41

b)

45

c)

31

d)

98

2.

a)

A

b)

B

c)

C

d)

D

3.

If an isosceles triangle has a base angle measuring 40°, then what measure is the vertex angle?

a)

120°

b)

100°

c)

40°

d)

80°

4.

Order the sides of the given triangle from longest to shortest.

a)

^{BC, AC, AB}

b)

AC, AB, BC

c)

AC, BC, AB

d)

AB, BC, AC

5.

IF you can even make a triangle using these side lengths, it would be a ______, scalene triangle (fill in blank)

3,8,4

a)

ACUTE

b)

OBTUSE

c)

RIGHT

d)

Can't make a trinagle out of these lenghts!

6.

a)

A

b)

B

c)

C

d)

D

7.

Classify the triangle by sides and angles (choose two answers).

a)

Acute triangle

b)

Obtuse triangle

c)

Equilateral triangle

d)

Isosceles triangle

e)

Scalene triangle

8.

a)

A

b)

B

c)

C

d)

D

9.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

10.

Identify the smallest angle.

a)

∠A

b)

∠B

c)

∠C

11.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

12.

Determine what type (if any) of a triangle would have the following side lengths:

15, 36, 39

a)

acute

b)

obtuse

c)

right

d)

not a triangle

13.

Use the Perp Bisector Theorem to find HG

a)

28

b)

14

c)

41

d)

7

14.

a)

A

b)

B

c)

C

d)

D

15.

What is the intersection of three perpendicular bisectors called?

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

16.

Find the value of x.

a)

1/2

b)

1

c)

2

d)

Cannot be determined.

17.

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Perpendicular Bisectors

d)

Altitude

18.

Define: INCENTER OF A TRIANGLE

a)

the intersection point of the three angle bisectors of a triangle

b)

when three or more lines intersect at a single point

c)

the intersection point of the three perpendicular bisectors of a triangle

d)

the point of intersection of three or more lines

19.

Point P is the circumcenter, which segment is equal to PB

a)

DA

b)

AC

c)

PC

d)

PF

20.

a)

A

b)

B

c)

C

d)

D

21.

What is a polygon?

a)

An open figure made up of straight line segments

b)

A closed figure made up of straight lines segments

c)

A closed figure made up of curved edges

d)

A figure made up of crossed line segments.

22.

What is the formula for the sum of the interior?

a)

S=360

b)

S=180(n-2)

c)

n=360/ext. angle

d)

1 int. angle + 1 ext. angle=180

23.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

24.

What is the measure of ∠R?

a)

65 degrees

b)

115 degrees

c)

180 degrees

d)

None of the above

25.

a)

A

b)

B

c)

C

d)

D

26.

Which of the following statements are true?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

AD and DC are congruent

27.

A quadrilateral will all congruent sides (by DEFINITION)

would best be described as a -?-

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

28.

A quadrilateral opposite angles congruent would best be described

(by a theorem) as a -?-

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

29.

Diagonals are perpendicular in all -?-

a)

quadrilaterals

b)

rectangles

c)

rhombuses

d)

parallelograms

30.

Check all that apply to the DIAGONALS of a RECTANGLE

a)

diagonals bisect (split in half) each other

b)

diagonals are congruent

c)

diagonals bisect (split in half) opposite angles

d)

diagonals are perpendicular (intersect in a 90^o angle)

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

BCDE is square. Find CE.

a)

40

b)

90

c)

80

d)

20

34.

Check all that are true of a PARALLELOGRAM

a)

opposite sides are parallel

b)

opposite sides are congruent

c)

all sides are congruent

d)

opposite angles are congruent

e)

all angles are congruent

35.

a)

A

b)

B

c)

C

d)

D

36.

Check all that apply to the DIAGONALS of a PARALLELOGRAM

a)

diagonals bisect (split in half) each other

b)

diagonals are congruent

c)

diagonals bisect (split in half) opposite angles

d)

diagonals are perpendicular (intersect in a 90^o angle)

37.

Check all that apply to the DIAGONALS of a SQUARE

a)

diagonals bisect (split in half) each other

b)

diagonals are congruent

c)

diagonals bisect (split in half) opposite angles

d)

diagonals are perpendicular (intersect in a 90^o angle)

38.

By DEFINITION a parallelogram is a quadrilteral with:

a)

Opposite = sides

b)

Opposite = angles

c)

Opposite parallel sides

d)

Opposite perpendicular sides

39.

a)

A

b)

B

c)

C

d)

D

40.

What scale factor was used to take figure A to figure B?

a)

2

b)

1/2

c)

6

d)

4

41.

a)

54

b)

81

c)

9

d)

18

42.

Solve for x.

a)

40

b)

28

c)

24

d)

16

e)

12

43.

On a map of Melrose Park, the distance from Kara's house to Monkey Island is 3 inches. In real life it is 4 miles. If the map shows 15 inches from her house to Wrigley Field, how far is that in real life?

a)

5 miles

b)

3 miles

c)

20 miles

d)

16 miles

44.

Solve for x. This one where you use similarity or the "new" theorem we just found.

a)

30

b)

32

c)

24

d)

18

45.

The similarity ratio of two similar rectangles is 5:7, the perimeter of the bigger rectangle is 42, what is the perimeter of the smaller one?

a)

5

b)

7

c)

30

d)

52.5

46.

Solve for x

Pay attention to the given similarity statement for corresponding sides!

a)

A

b)

B

c)

C

d)

D

47.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

16 feet

b)

21 feet

c)

24 feet

d)

28 feet

48.

All corresponding angles are congruent in similar figures.

a)

True

b)

False

49.

a)

A

b)

B

c)

C

d)

D

50.

All corresponding sides are proportional (same ratio) in similar figures.

a)

True

b)

False

51.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔCAB ~ ΔDEF

b)

ΔABC ~ ΔDFE

c)

ΔABC ~ ΔDEF

d)

ΔBCA ~ ΔDEF

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

55.

Are the following similar? Why or why not?

a)

Yes

b)

No

c)

No, the ratios of the corresponding sides are not equal.

d)

Yes, the corresponding angles seem to be congruent

56.

a)

A

b)

B

c)

C

d)

D

57.

Two similar figures have side ratio 2:5. What is the ratio of their perimeters?

a)

2:5

b)

5:2

c)

4:25

d)

4:10

58.

a)

A

b)

B

c)

C

d)

D

59.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

60.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

61.

a)

A

b)

B

c)

C

d)

D

62.

What is the ratio for Tangent?

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

63.

What is

$\sin\ \left(\theta\right)$ ?

a)

$\frac{8}{15}$

b)

$\frac{15}{17}$

c)

$\frac{8}{17}$

64.

What is

$\cos\ \left(\theta\right)$ ?

a)

$\frac{8}{15}$

b)

$\frac{15}{17}$

c)

$\frac{8}{17}$

65.

a)

A

b)

B

c)

C

d)

D

66.

What is

$\tan\ \left(\theta\right)$ ?

a)

$\frac{8}{15}$

b)

$\frac{15}{17}$

c)

$\frac{8}{17}$

67.

Find x.

a)

14.3

b)

7.3

c)

31.4

d)

35.2

68.

Find x.

a)

28.9

b)

61.1

c)

64.2

d)

25.8

69.

a)

A

b)

B

c)

C

d)

D

70.

Solve for the missing angle.

a)

50.2

b)

93.1

c)

12.6

d)

42.2

71.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

72.

a)

A

b)

B

c)

C

d)

D

73.

Determine the value of each variable. Express your answer as an integer or in simplest radical form.

a)

$x=8,\ y=8$

b)

$x=8,\ y=8\sqrt[]{2}$

c)

$x=8\sqrt[]{2},\ y=8\sqrt[]{2}$

d)

$x=8,\ y=16$

74.

Determine the length of x and y.

a)

x = 10

y = 10 $\sqrt[]{3}$

b)

x = 5 $\sqrt[]{3}$

y = 10

c)

x = 5

y = 5 $\sqrt[]{2}$

d)

x = 10 $\sqrt[]{3}$

y = 10

75.

a)

A

b)

B

c)

C

d)

D

76.

Calculate the Volume

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

77.

What is the volume?

a)

16.8 cm³

b)

50.3 cm³

c)

100.5 cm³

d)

12.6 cm²

78.

Find the volume of the solid shown.

a)

4188.79 mm³

b)

523.599 mm³

c)

418.879 mm³

d)

104.72 mm³

79.

This shape has a length of 10 mm and a width of 8 mm. If the volume of this shape is 320 mm³. What is the height?

a)

4 mm

b)

4 mm³

c)

3 mm

d)

3 mm³

80.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

81.

Find the radius of a sphere with a volume of $972\pi\ in^3.$

a)

$9\ in.$

b)

$6.2\ in.$

c)

$31.2\ in.$

d)

$18\ in.$

82.

If the volume is $330\ in^3$ , what is the height?

a)

10 in

b)

240 in

c)

22 in

d)

11 in

83.

a)

A

b)

B

c)

C

d)

D

84.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

85.

What is the volume of the composite solid? round to tenths

a)

19 ft³

b)

24.8 ft³

c)

29.3 ft³

d)

33.5 ft³

86.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

c)

They are the same volume

87.

Find the volume of the empty space left inside the cylinder.

a)

261.8

b)

246.3

c)

321.4

d)

1245.5

88.

a)

A

b)

B

c)

C

d)

D

89.

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

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

90.

a)

A

b)

B

c)

C

d)

D

91.

a)

A

b)

B

c)

C

d)

D

92.

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

a)

b)

c)

d)

93.

A right circular cylinder and an oblique circular cylinder are given. True or False? If the radii of both cylinders are equal, the volumes of the cylinders will be equal because they have the same height.

a)

True

b)

False

94.

a)

A

b)

B

c)

C

d)

D

HONORS Spring final review overall - HICKS

Total questions: 94

Worksheet time: 2hrs 18mins

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