Free Printable Math 2 - Midterm Exam Fall 2020

1.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x, y) --> (x+2, y-5)

b)

(x, y) --> (x+2, y-9)

c)

(x, y) --> (x-2, y-9)

d)

(x, y) --> (x-2, y+9)

2.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

3.

In a translation, the preimage and image are ___________.

a)

congruent

b)

similar

c)

different

d)

none of the above

4.

Triangle ABC has vertices at A(6, 1) B(1, 7) and C(-3, -2). The translation to create triangle A'B'C' is (x, y) goes to (x - 1, y + 2). Which will be the coordinates of triangle A'B'C'?

a)

A'(5, 2), B'(0, -4), C'(0, 9)

b)

A'(5, 3), B'(0, -4), C'(0, 8)

c)

A'(5, 3), B'(0, 9), C'(-4, 0)

d)

A'(5, 2), B'(1, -3), C'(0, 9)

5.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

6.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

7.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

8.

What is the Algebraic Notation for this Reflection?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

9.

If A(2,5) was reflected over the Y-AXIS, what would the coordinated of A' be?

a)

A'(2,-5)

b)

A'(-2,5)

c)

A'(5,2)

d)

A'(5,-2)

10.

Identify the line of reflection

a)

x-axis

b)

y-axis

c)

x = -1

d)

y = -1

11.

Triangle GHI is reflected across the x = 2. What are the coordinates of G'?

a)

(1, -4)

b)

(3, -4)

c)

(3, 4)

d)

(2, -4)

12.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

13.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

14.

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

15.

Which is a complete and accurate description of the transformation pictured?

a)

Rotation 90 degrees counterclockwise about the origin

b)

Rotation 180 degrees about the origin

c)

Rotation 90 degrees clockwise about the origin

d)

None of these

16.

Which rule describes a 180° clockwise rotation about the origin?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

17.

How many degrees does this shape rotate counterclockwise about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

18.

The point (8, 12) was dilated from the origin to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

19.

If the origin is the center of this dilation, choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

20.

How do you write the algebraic notation for a dilation from the origin with a scale factor of 3?

a)

(x, y) --> (1/3x, 1/3y)

b)

(x, y) --> (-3x, -3y)

c)

(x, y) --> (x + 3, y + 3)

d)

(x, y) --> (3x, 3y)

21.

Is this an enlargement or a reduction? What is the scale factor if the origin is the center of dilation?

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

22.

A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

a)

measure; shapes

b)

sizes; shapes

c)

value; measures

d)

shape; sizes

23.

What is the supplement to an angle that measures 58 degrees?

a)

58

b)

180

c)

132

d)

122

24.

What is the measure of ∠ABC?

a)

25°

b)

75°

c)

108°

d)

150°

25.

Solve for x.

a)

41

b)

-41

c)

-9

d)

-21

26.

a)

x = 21

b)

x = 95

c)

x = 105

d)

x = 1

27.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

28.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

29.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

30.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

31.

If

\overline{BC}\ \cong\ \overline{QR}

what other piece of information do you need to prove the triangles are ≅ by HL Theorem?

a)

AC≅PR

b)

BC≅QR

c)

<A≅<P

d)

<C≅<R

32.

If

\Delta ABC\ \cong\ \Delta DEF

which proves that

\overline{BC}\ \cong\ \overline{EF}

?

a)

SSS

b)

SAS

c)

CCCCC

d)

CPCTC

e)

AAS

33.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

34.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Side Splitter

35.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

36.

Find missing side

a)

5

b)

7

c)

9

d)

11

37.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

38.

Find PQ

a)

10

b)

3

c)

-2

d)

5

39.

a)

x=67

b)

x=43

c)

x=55

d)

x=12

40.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

41.

a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

42.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

43.

Solve the proportion

a)

x = 17

b)

x = 16

c)

x = 15

d)

x = 14

44.

Solve the proportion

a)

x = 3

b)

x = -3

c)

x = 1

d)

x = -1

45.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

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

46.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

47.

Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.

a)

19 degrees

b)

20 degrees

c)

28 degrees

d)

35 degrees

48.

The pilot of a traffic helicopter sights an accident at an angle of depression of 18 degrees. The helicopter’s altitude is 1560 ft. What is the horizontal distance from the helicopter to the accident? Round to the nearest foot.

a)

543 ft

b)

1756 ft

c)

4801 ft

d)

5404 ft

49.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

50.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

51.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

52.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

53.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

54.

Find the value of each variable.

a)

u= $\frac{4\sqrt{3}}{3}$ , v= $\frac{2\sqrt{6}}{3}$

b)

u= $\frac{4\sqrt{3}}{3}$ , v= $\frac{4\sqrt{3}}{3}$

c)

u= $\frac{2\sqrt{6}}{3}$ , v= $\frac{4\sqrt{6}}{3}$

d)

u= $\frac{4\sqrt{6}}{3}$ , v= $\frac{2\sqrt{6}}{3}$

55.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

56.

Simplify 3√16

a)

12

b)

48

c)

√12

d)

3√4

57.

Rationalize the denominator.

$\frac{4}{\sqrt{5}}$

a)

$\frac{4\sqrt{5}}{5}$

b)

$\frac{\sqrt{5}}{4}$

c)

$\frac{\sqrt{6}}{3}$

d)

$\frac{5\sqrt{2}}{2}$

58.

What is the measure of angle X?

a)

60

b)

40

c)

140

d)

100

59.

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

a)

5.5

b)

11

c)

-5.5

d)

-11

60.

Find the value of x.

a)

4

b)

12

c)

8

d)

16

Math 2 - Midterm Exam Fall 2020

Total questions: 60

Worksheet time: 15hrs 0mins

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