Free Printable Jan2023 final exam practice

1.

What is a radius?

a)

A line segment that goes from the center of a circle to its edge

b)

A type of music device that plays FM or AM stations

c)

A line that intersects a system of two or

more lines

d)

A line that intersects another segment at a 90 degree angle at its midpoint

2.

What is a perpendicular bisector?

a)

A line that is parallel to another line

b)

A line segment that goes from the center of a circle to its edge

c)

A line that intersects another segment at a 90 degree angle at its midpoint

d)

A mode of transportation in NYC

3.

What is a hypotenuse?

a)

The longest side opposite the 90° angle in a right triangle

b)

A large, mostly herbivorous, semiaquatic mammal native to sub-Saharan Africa

c)

The amount space between two or more intersecting lines

d)

An educated guess often made on the basis of limited evidence as a starting point for further investigation

4.

Which describes a sequence of rigid motions that maps ΔABC onto ΔA’B’C’?

a)

a rotation of 90° counterclockwise about point C followed by a reflection over the x-axis

b)

a rotation of 90° counterclockwise about point C followed by a translation down 4 units

c)

a reflection over the y-axis followed by a reflection over the x-axis

d)

a reflection over the x-axis followed by a rotation of 90° counterclockwise about point C

5.

Which is the only transformation that is NOT a rigid motion.

a)

b)

c)

d)

6.

Which triangle is the preimage?

a)

Triangle DEF

b)

Triangle D'E'F'

c)

Both

d)

Neither

7.

Find the coordinates of the image

a)

(14, 0)

b)

(-10, 0)

c)

(10, 8)

d)

(14, 16)

8.

This rule describes what transformation?

a)

A translation(slide) 4 units to the right and 6 units down.

b)

A translation 4 units to the left and 6 units up.

c)

A translation 4 units the left and 6 units down.

d)

A translation 4 units to the right and 6 units up.

9.

Write the rule for the following translation.

a)

(x, y) --> (x - 8, y - 5)

b)

(x, y) --> (x + 8, y - 5)

c)

(x, y) --> (x + 8, y + 5)

d)

(x, y) --> (x - 8, y + 5)

10.

Describe the translation.

a)

6 units to the right and 0 units up or down

b)

3 units to the left and 6 units down

c)

3 units to the left and 0 units up or down

d)

6 units to the left and 0 units up or down

11.

This figure is reflected over the...

a)

b)

c)

d)

12.

The figure below is reflected over the

a)

x-axis

b)

y-axis

c)

neither axis

d)

the preimage

13.

A reflection is a rigid motion because

a)

the size and shape of a figure does not change

b)

the size and shape of a figure does change

c)

the figure gets larger or smaller

d)

the figure does not change position

14.

Suppose we are in Quadrant I, a counterclockwise rotation 90° about the origin will take us to Quadrant ____

a)

I

b)

II

c)

III

d)

IV

15.

Imagine we are in Quadrant III, a clockwise rotation 90° about the origin will take us to Quadrant ____

a)

I

b)

II

c)

III

d)

IV

16.

Suppose we are in Quadrant I, a counterclockwise rotation 180° about the origin will take us to Quadrant ____

a)

I

b)

II

c)

III

d)

IV

17.

Imagine we are in Quadrant IV, a clockwise rotation 270° about the origin will take us to Quadrant ____

a)

I

b)

II

c)

III

d)

IV

18.

A clockwise rotation 90° is equivalent to a _______

a)

counterclockwise rotation 90°

b)

clockwise rotation 270°

c)

counterclockwise rotation 180°

d)

counterclockwise rotation 270°

19.

What kind of angle pair is this?

a)

Linear pair

b)

Complementary

c)

Supplementary

d)

Adjacent

20.

What kind of angle pair is this? (Choose ALL the correct options)

a)

Linear Pair

b)

Complementary

c)

Supplementary

d)

Vertical

21.

What kind of angle pair is this?

a)

Linear Pair

b)

Complementary

c)

Vertical

d)

Supplementary

22.

What kind of angle pair is this? (choose ALL the correct options)

a)

Linear Pair

b)

Supplementary

c)

Complementary

d)

Adjacent

23.

What kind of angle pair is this?

a)

Supplementary

b)

Complementary

c)

Vertical

d)

Linear Pair

24.

What is the measure of the missing angle?

a)

50

b)

100

c)

130

d)

40

25.

What is the measure of the missing angle?

a)

137

b)

47

c)

34

d)

43

26.

What is the measure of the missing angle?

a)

27

b)

37

c)

63

d)

117

27.

What is a transversal?

a)

A line intersecting a system of two or more lines.

b)

the little line in a tree

c)

When you travel dimensions like a boss!

d)

when a person speaks multiple languages

28.

Which angles are corresponding?

a)

6 and 8

b)

3 and 7

c)

5 and 8

d)

2 and 7

29.

Which angles are alternate interior angles?

a)

5 and 8

b)

2 and 7

c)

4 and 5

d)

2 and 3

30.

Which angles are alternate exterior angles?

a)

3 and 6

b)

1 and 8

c)

4 and 5

d)

6 and 7

31.

Given parallel lines with a transversal, same side interior angles are always ...

a)

congruent

b)

supplementary

c)

complementary

32.

Which two angles are a pair of Same-Side Interior Angles?

a)

4 and 3

b)

3 and 5

c)

4 and 6

d)

4 and 5

33.

What property allows one to justify that PN ≌ PN?

a)

Reflective property of congruence

b)

Reflexive property of congruence

c)

Reflexive property of equality

d)

Reflective property of equality

34.

State the triangle Congruence theorem.

a)

AAA

b)

SSS

c)

AAS

d)

SAS

35.

State the triangle Congruence theorem.

a)

ASA

b)

AAS

c)

not congruent

d)

HL

36.

What reason allows one to justify that ∡QOP ≌ ∡SOR?

a)

Vertical angles are congruent

b)

Complementary angles are always congruent

c)

Supplementary angles are always congruent

d)

Reflexive property of congruence

37.

State the triangle Congruence theorem.

a)

SSS

b)

SAS

c)

HL

d)

AAS

38.

SSS, SAS, ASA, AAS, HL, or Neither?

a)

SAS

b)

Neither

c)

HL

d)

SSS

39.

SSS, SAS, ASA, AAS, HL, or Neither?

a)

HL

b)

Neither

c)

ASA

d)

AAS

40.

Which formula is correct to determine distance between two points on a graph?

a)

a²+ b² = c²

b)

$d=\left(x_2-x_1\right)+\left(y_2-y_1\right)$

c)

$d=\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2$

d)

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

41.

Complete the sentence: Congruent in Geometry means "........" in Algebra

a)

Solve

b)

Same

c)

Sum to 180

d)

Equal

42.

Which describes a sequence of rigid motions that maps ABCDE onto A”B”C”D”E”?

a)

a rotation of 90° counterclockwise about the origin followed by a reflection over the x-axis

b)

a rotation of 90° counterclockwise about the origin followed by a translation down 7 units

c)

a reflection over the y-axis followed by a reflection over the x-axis

d)

a reflection over the x-axis followed by a rotation of 90° counterclockwise about the origin

43.

What does perpendicular mean?

a)

Lines that are parallel

b)

Line that intersect at 90° angles

c)

A pair of angles that sum to 90°

d)

An angle that measures 90°

44.

Given, Z is the midpoint of $\overline{VX}$ , which statement is true based on the definition of midpoint?

a)

$\Delta VYZ\cong\Delta XWZ$

b)

$\angle VZY\cong\angle XZW$

c)

$\overline{VZ}\cong\overline{XZ}$

d)

$\overline{VY}\cong\overline{XW}$

45.

The triangle angle sum theorem says that the sum of all three interior angles of any triangle is ...

a)

$60\degree$

b)

$90\degree$

c)

$180\degree$

d)

$360\degree$

46.

Suppose line q is represented by the equation $y=\frac{-4}{3}x+6$ and line r is parallel to line q. What is the slope of line r?

a)

$\frac{-4}{3}$

b)

$\frac{4}{3}$

c)

$\frac{-3}{4}$

d)

$\frac{3}{4}$

47.

Suppose line q is represented by the equation $y=\frac{-4}{3}x+6$ and line r is perpendicular to line q. What is the slope of line r?

a)

$\frac{-4}{3}$

b)

$\frac{4}{3}$

c)

$\frac{-3}{4}$

d)

$\frac{3}{4}$

48.

Suppose $\overline{VX}$ bisects $\angle WVY$ , $m\angle WVX=\left(6x\right)\degree$ , and $m\angle WVY=\left(16x-44\right)\degree$ . What equation can be used to find $m\angle WVX$ ?

a)

$6x+16x-44=180$

b)

$6x=16x-44$

c)

$6x+6x=16x-44$

d)

$6x+16x-44=90$

49.

After a counterclockwise rotation about point X, scalene triangle ABC maps onto ΔRST, as shown in the diagram. Which statements are true? (Choose ALL correct options)

a)

∠B ≅ ∠R

b)

∠B ≅ ∠S

c)

AC ≅ RT

d)

CA ≅ TS

50.

Which equation can be used to solve for the value of n in the given image?

a)

15n = 180

b)

15n + 16 = 180

c)

15n = 90

d)

7n - 8 = 2n + 4

51.

∠Q and ∠Z are supplementary. If m∠Q = (2x)° and m∠Z = (8x - 20)°, what equation can be used to find the value of x?

a)

2x = 8x - 20

b)

2x + 8x - 20 = 90

c)

2x + 8x - 20 = 180

d)

8x - 20 = 180

52.

Find the line, p, perpendicular to line r, represented by the equation $y+1=\frac{1}{5}\left(x-5\right)$ , that passes through the coordinate (5, -1).

a)

$y+1=\frac{-5}{1}\left(x-5\right)$

b)

$y+1=\frac{5}{1}\left(x-5\right)$

c)

$y+1=\frac{-1}{5}\left(x-5\right)$

d)

$y+1=\frac{1}{5}\left(x-5\right)$

53.

Which equation in slope-intercept form is equivalent to the point-slope form equation $y+1=\frac{-5}{1}\left(x-5\right)$ ?

a)

$y=-5x+24$

b)

$y=-5x+25$

c)

$y=\frac{-1}{5}x+24$

d)

$y=\frac{-1}{5}x+25$

54.

Given, Z is the midpoint of $\overline{VX}$ , which theorem can be used to prove ΔVYZ ≅ ΔXWZ?

a)

HL

b)

SSS

c)

ASA

d)

SAS

Jan2023 final exam practice

Total questions: 54

Worksheet time: 40mins

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