Free Printable S2 Exam Unit 7 AND 8 Mix Practice

1.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

2.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

3.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

4.

On a city grid, a fire department is midway between the police department and town hall. The police department is located at (^–10, 65). The town hall is located at (40, 25). What is the location of the fire department?

a)

(15, 45)

b)

(25, 45)

c)

(30, 90)

d)

(50, –20)

5.

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

6.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

7.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

8.

find the perimeter of this triangle

a)

20

b)

40.4

c)

15

d)

22.2

9.

Find the perimeter of the triangle

a)

24.14 square units

b)

15 square units

c)

10 square units

d)

33.21 square units

10.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

11.

Write an equation that is perpendicular to 4x – 3y = 6 and passes through the point (8, -3)

a)

y = -3/4x + 4

b)

y = -2x + 13

c)

y = -3/4x + 3

d)

y = -2x - 3

12.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

13.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

14.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

a)

y = 4x + 6

b)

y = 4x + 14

c)

y = 3x + 12

d)

y = -1/4x + 11/2

15.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

16.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

17.

Find the slope of the line that goes through the points (-8,6) and (7,-3).

a)

1/3

b)

-1/3

c)

-3/5

d)

-5/3

18.

Which of these represents the standard form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

19.

Which of these represents the point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

20.

Which of these represents slope-intercept form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

21.

What is the slope of the line represented by $6x-5y=12$

a)

$-\frac{6}{5}$

b)

$\frac{5}{6}$

c)

$\frac{6}{5}$

d)

$-\frac{5}{6}$

22.

What is the slope of the line represented by $5x-9y=14$

a)

$5$

b)

$\frac{5}{9}$

c)

$\frac{9}{5}$

d)

$-9$

23.

Find the slope of the following equation.
3x-6y=12

a)

3

b)

-3

c)

-1/2

d)

1/2

24.

Find the slope given the points (-5,-3) and (2,4).

a)

5/4

b)

1/7

c)

-1

d)

1

25.

Find the slope given the points (5,9) and (1,4) .

a)

5/4

b)

4/5

c)

-5/4

d)

2/3

26.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

27.

Find the missing length indicated.

a)

16

b)

8

c)

10

d)

14

28.

Solve for x.

a)

18

b)

12

c)

6.75

d)

85.3

29.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

30.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

31.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

32.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

33.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

34.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

35.

Which is not a postulate to prove triangle congruence?

a)

AAA

b)

ASA

c)

SSS

d)

SAS

36.

What postulate is appropriate to use in proving this pair of triangles?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

37.

Which triangle congruence postulate proves these two triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

38.

Which triangle congruence postulate proves these two triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

39.

Are these triangles congruent? If so, which postulate proves they are.

a)

Yes;

SSA

b)

Yes;

HL

c)

Not Congruent

d)

Yes;

SAS

40.

Are these triangles congruent? If so, which postulate proves they are.

a)

Yes;

ASA

b)

Yes;

AA

c)

Not Congruent

d)

Yes;

SAS

41.

Assuming the triangles are congruent, what is the value of x?

a)

5

b)

4

c)

3

d)

6

42.

WHAT TRIANGLE CONGRUENCE IS ILLUSTRATED?

a)

HYPOTHENUSE-ANGLE

b)

HYPOTENUSE-LEG

c)

LEG-LEG

43.

What is the hypotenuse leg theorem?

a)

If three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent

b)

If two right triangles have congruent hypotenuse and legs, they are the congruent to each other

c)

If only one side of a triangle is equal to one other side of another triangle

d)

If there are 2 right angles in 2 triangles, then triangles are equal

44.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

a)

Yes, △ABC≅△YXW

b)

Yes, △CBA≅△WXY

c)

Yes, △BCA≅△XYW

d)

No

45.

a)

HL

b)

SAS

c)

not congruent

d)

AAS

46.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

47.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

48.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

49.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

50.

a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

51.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

52.

Which symbol means congruent?

a)

$\approx$

b)

$\cong$

c)

$=$

d)

$\ne$

53.

a)

1

b)

2

c)

3

d)

4

54.

a)

4

b)

3

c)

2

d)

1

55.

a)

4

b)

3

c)

2

d)

1

56.

What value of x makes △GTB ≅ △HAR?

a)

0

b)

8

c)

19

d)

9.5

57.

If the corresponding sides of congruent triangles measures (5x – 10) yd and (3x+18) yd. What is the value of x?

a)

10

b)

12

c)

14

d)

16

58.

Given this following image, determine the value of x.

a)

5

b)

4

c)

3

d)

2

59.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

60.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

61.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

62.

Find the perimeter of the figure to the right. Round to the nearest tenth.

a)

20.8 units

b)

116 units

c)

11.5 units

d)

19.8 units

63.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

64.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

65.

Solve for x.

a)

10

b)

2

c)

11

d)

5

S2 Exam Unit 7 AND 8 Mix Practice

Total questions: 65

Worksheet time: 3hrs 28mins

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