Free Printable Benchmark 1 Study Tool!

1.

If GH = 8 and HI = 17, Find GI

a)

8

b)

9

c)

24

d)

25

2.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

3.

Now that you know the value of x, find AB and BC.

a)

AB = 11 and BC = 22

b)

AB = 11 and BC = 17

c)

AB = 11 and BC = 27

d)

AB = 11 and BC = 21

4.

a)

8

b)

12

c)

-4

d)

-8

5.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

6.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

7.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

8.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

9.

Given that M is the midpoint of

\overline{AB}

and

AB=30

find AM.

a)

15

b)

30

c)

10

d)

not enough information

10.

Given that AB = 27, find AC.

a)

27

b)

54

c)

13.5

d)

not enough information.

11.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

a)

b)

c)

d)

12.

If point A is at (-3, -2) and B is at (12, 4), what are the coordinates precisely $\frac{1}{3}$ of the way from A to B?

a)

(2, 0)

b)

(15, 6)

c)

(9, -11)

d)

(5, 1)

13.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

14.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

15.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

16.

Find the distance between (-5, -8) and (-1, -16) to the nearest whole number.

a)

8.9

b)

9.8

c)

10.3

d)

9

17.

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

a)

32.1

b)

32.2

c)

32.3

d)

32.4

18.

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

a)

$40\degree\ and\ \ 140\degree$

b)

$80\degree\ and\ \ 80\degree$

c)

$30\degree\ and\ \ 150\degree$

d)

$90\degree\ and\ \ 90\degree$

19.

Which is a counterexample to the following statement?

If an angle is obtuse, then it is $125\degree$ .

a)

$90\degree$

b)

$57\degree$

c)

$160\degree$

d)

$180\degree$

20.

A counterexample is an example that proves a conjecture to be true.

a)

True

b)

False

21.

To fully disprove a conjecture, one needs to find only ONE counterexample.

a)

True

b)

False

22.

What is a counterexample?

a)

A generalism that cannot be applied to a specific case

b)

A specific case that help to prove a conjecture

c)

A general case that is supported by specific examples

d)

A specific case for which a conjecture is false

23.

Underline the hypothesis and italicize the conclusion in each statement.

a)

If your dog eats Purina, then he’ll stay happy and healthy.

b)

If your dog eats Purina, then he’ll stay happy and healthy.

c)

If your dog eats Purina, then he’ll stay happy and healthy.

d)

If your dog eats Purina, then he’ll stay happy and healthy.

24.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

25.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

26.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

27.

$\angle3\ \&\ \angle6$ are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

28.

$\angle1\ \&\ \angle5$ are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

29.

$\angle6\ \&\ \angle7$ are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

30.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

31.

Which of the following is an example of corresponding angles?

a)

$\angle8\ and\ \angle4$

b)

$\angle5\ and\ \angle7$

c)

$\angle1\ and\ \angle7$

d)

$\angle3\ and\ \angle5$

32.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

33.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

34.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

35.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

36.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

37.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

38.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

39.

Name the alternate interior angle to $\angle3?$

a)

4

b)

5

c)

6

d)

8

40.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

41.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

42.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

43.

Are these angles an example of complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

44.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

45.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

46.

Find the value of x.

a)

24

b)

34

c)

44

d)

54

47.

1. Find X

a)

28

b)

5

c)

55

d)

40

48.

1. Find ∠ AOC

a)

130

b)

50

c)

40

49.

2. Find X

a)

9

b)

27

c)

45

50.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

51.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

52.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

53.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

54.

What is the measure of the missing angle?

a)

82

b)

43

c)

55

d)

180

55.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

56.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

57.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

58.

Which two angles are the remote interior angles to Angle A?

a)

Angle C and Angle B

b)

Angle D and Angle B

c)

Angle C and Angle D

d)

Angle B and Angle A

59.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

60.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

61.

Find the indicated angle measure. (What is ?)

a)

100°

b)

39°

c)

107°

d)

73°

62.

Find the indicated angle measure (What is ?)

a)

80°

b)

90°

c)

70°

d)

60°

63.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

64.

Slopes of parallel lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

65.

y = 3x +2

y = 3x - 3

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

66.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

67.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

68.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

69.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

70.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

71.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

Benchmark 1 Study Tool!

Total questions: 71

Worksheet time: 2hrs 56mins

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