Free Printable Geometry Benchmark 1 Review

1.

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

a)

If you are late to school, then you will miss the bus.

b)

If you miss the bus, then you will be late to school

c)

If you sleep late, then you don't have to go to school.

d)

If you miss the bus, then you'll have to walk and be late.

2.

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

a)

If I eat, then I am hungry.

b)

If I don't eat then I am not hungry

c)

If I am not hungry, then I don't eat.

d)

If I am not hungry, then I eat.

3.

Given the conditional statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

a)

If Max isn't grounded then he gets good grades.

b)

If Max doesn't get good grade then he will be grounded.

c)

If Max gets grounded then he doesn't get good grades.

d)

If Max gets good grades, the he will get grounded.

4.

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

a)

None of these

b)

If Jose doesn't have an allergic reaction, then he didn't eat fish.

c)

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

d)

If Jose has an allergic reaction, then he ate fish.

5.

Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Contrainverse

6.

Select the conditional statement(s) of the biconditional statement.

Points are collinear if and only if they all lie in one line.

a)

If collinear points lie in one line, then they are a line.

b)

If points all lie in one line, then they are collinear.

c)

Collinear points lie in one line.

d)

If points are collinear, then they all lie in one line.

7.

What is this?

a)

Conditional Statement

b)

Inverse

c)

Converse

d)

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

8.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

a)

If an object can fly, then it is a bird.

b)

If an object is not a bird, then it cannot fly

c)

If an object cannot fly, then it is not a bird

d)

There is no converse of the statement

9.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

10.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

a)

If a species is not human, then it does not walk on two feet.

b)

If a species is human, then it walks on two feet.

c)

If a species does not walk on two feet, then it is not human.

d)

There is no contrapositive of the statement.

11.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

a)

If a species does not live in water, then it is not a fish.

b)

If a species is not a fish, then it does not live in water.

c)

If a species lives in water, then it is a fish.

d)

There is not contrapositive of the statement.

12.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

a)

Contrapositive

b)

Converse

c)

Biconditional

d)

Inverse

13.

What does this mean?

a)

Conditional

b)

Inverse

c)

Converse

d)

Contrapositive

14.

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Negation

15.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

16.

Find the value of x.

a)

x = 133

b)

x = 47

17.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

18.

If lines are parallel with a transversal, then these two angles are...

a)

Supplementary Angles

b)

Corresponding Angles

c)

Alternate Exterior Angles

d)

Parallel Angles

19.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

20.

Which could be used to prove the lines are parallel?

a)

Converse of Alternate Interior Angles Theorem

b)

Converse of Same-Side Interior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Cannot be proved parallel

21.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

22.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

23.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

24.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

25.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

26.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

27.

a)

$m\parallel n$ because Alternate Interior angles are congruent

b)

$p\parallel q$ because Alternate Interior angles are congruent

c)

$m\parallel n$ because Consecutive Interior angles are congruent

d)

Neither pair of lines is parallel

28.

a)

$m\parallel n$ because Alternate Exterior angles are congruent

b)

$p\parallel q$ because Alternate Exterior angles are congruent

c)

$p\parallel q$ because Corresponding angles are congruent

d)

Neither pair of lines is parallel

29.

a)

$m\parallel n$ because Corresponding angles are congruent

b)

$m\parallel n$ because Consecutive Interior angles are congruent

c)

$p\parallel q$ because Corresponding angles are congruent

d)

Neither pair of lines is parallel

30.

a)

$71\degree$ - Alternate Exterior Angles are congruent

b)

$109\degree$ - Alternate Exterior Angles are supplementary

c)

$71\degree$ - Alternate Interior Angles are congruent

31.

Find the midpoint:

a)

$\left(-\frac{3}{2},-\frac{5}{2}\right)$

b)

$\left(-1,-3\right)$

c)

$\left(-\frac{1}{2},-\frac{5}{2}\right)$

d)

$\left(-3,-1\right)$

32.

Find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

a)

(-19,15)

b)

(5,-6)

c)

(-4,-3)

d)

(6,2)

33.

In the standard (x,y) coordinate plane, what is the length of RS given R=(8,5) and S=(-1,3)?

a)

$\sqrt[]{11}$

b)

$4\ \frac{1}{2}$

c)

$\sqrt[]{61}$

d)

$\sqrt[]{85}$

e)

$7\ \sqrt[]{2}$

34.

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

a)

3

b)

4

c)

5

d)

6

35.

Which geometric construction is shown in the diagram?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

36.

Take a guess! Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

37.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

38.

The drawing shows the arcs used to construct...what?

a)

a bisector of a given line

b)

a bisector of a given angle

c)

a perpendicular of a given line at a point on the line

d)

an angle congruent to a given angle

39.

What was duplicated?

a)

line

b)

line segment

c)

ray

d)

angle

40.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

41.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

A is at (4, 9)

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

42.

Point P is graphed at (4,5) shown on the grid below. Point P is 90⁰ counterclockwise to Point P'. What are the coordinates of P'?

a)

(-5, 4)

b)

(-4, 5)

c)

(5, -4)

d)

(-4, -5)

43.

Parallelogram PQRS is rotated 90ᴼ clockwise about the origin to create parallelogram P’Q’R’S’. Which rule describes this transformation?

a)

(x,y)⊣(x,-y)

b)

(x,y)⊣(-x,y)

c)

(x,y)⊣(y,x)

d)

(x,y)⊣(y,-x)

44.

Point P is graphed at (4, 5) shown on the grid below. Point P is 180ᴼ clockwise to Point P’.

a)

(-5, 4)

b)

(-4, 5)

c)

(5, -4)

d)

(-4, -5)

45.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

46.

Select all the lines of symmetry

a)

y-axis

b)

x-axis

c)

y = -1

d)

x = -1

47.

Select all lines of symmetry

a)

y-axis

b)

x-axis

c)

y = x

d)

y = -x

48.

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

49.

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

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

50.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

51.

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

a)

½

b)

¼

c)

4

d)

2

52.

Point A = (3,-6) , Scale Factor 1/3, Point A' = ______

a)

(1,2)

b)

(-1,-2)

c)

(1,-2)

d)

(-2,1)

53.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

54.

Triangle ABC has vertices at A(2,3) B(-5,-1) C(0,5). Its image, Triangle A'B'C', has vertices at A'(4,6) B'(-10,-2) and C'(0,10). What is the scale factor?

a)

1/2

b)

1

c)

2

d)

4

55.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

56.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

57.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

58.

-6x + y = 2
6x + y = 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

59.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

60.

What is the slope of a line perpendicular to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

Geometry Benchmark 1 Review

Total questions: 60

Worksheet time: 2hrs 0mins

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