Free Printable Geometry Units 3-6

1.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

2.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

3.

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)

4.

What is the sequence of transformations for the image given?

a)

Reflect over the x-axis, translate (x+8,y)

b)

Reflect over the x-axis then translate (x+6, y)

c)

Reflect over the y-axis then (x+1, y+1)

d)

Translate down 4 (y-4) and to the right 5 (x+5)

5.

What is the sequence of transformations?

a)

Reflect over the y then reflect over the x

b)

Reflect over the x then reflect over the y

c)

Translate 4 units then rotate 90˚

d)

Rotate 90˚ then reflect over the x

6.

A dilation with a scale factor of 2 is a reduction.

a)

True

b)

False

7.

C(-6, 2) and B(-1, -1)
Reflect over the line y = x

a)

C' (-6, 2), B' (-1, -1)

b)

C' (6, 2), B' (1, -1)

c)

C' (2, -6), B' (-1, -1)

d)

C' (-6, -2), B' (-1, -1)

8.

The figure M'N'O'P' is the image of MNOP. Describe the translation vector.

a)

<-14,8>

b)

<8,8>

c)

<-14,-14>

d)

<-8,8>

9.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

10.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Yes - SAS

d)

No - they are different

11.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

12.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

13.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

14.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

15.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

16.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

17.

Order the sides from least to greatest.

a)

DE, VE, DV

b)

VE, DE, DV

c)

DV, VE, DE

d)

DE, DV, VE

18.

Name the perpendicular bisector.

a)

Line CP

b)

Segment AP

c)

Segment AC

d)

Line AB

19.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

20.

Which is true about any midsegment in a triangle?

(Select all that apply.)

a)

The midsegment is parallel to its corresponding (opposite) side.

b)

The midsegment is perpendicular to its corresponding (opposite) side.

c)

The midsegment is half as long as its corresponding (opposite) side.

d)

The midsegment connects the midpoints of two sides of a triangle.

e)

The midsegment is twice as long as its corresponding (opposite) side.

21.

The midsegment of the triangle is 5x-1.

Find the value of x.

Remember the formula... 2(midsegment) = parallel base length

a)

x = 6

b)

x = 7

c)

x = 11.8

d)

x = 12.4

22.

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

REMEMBER: 2(midsegment) = length of parallel side

a)

5.5

b)

11

c)

-5.5

d)

-11

23.

$\overline{MP}\ \parallel$ ______

Name the parallel segment.
(The symbol || means parallel.)

a)

$\overline{WY}$

b)

$\overline{YX}$

c)

$\overline{WX}$

d)

$\overline{PN}$

24.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

25.

If DA is the perpendicular bisector or EI, then

a)

<IAD and <DAE are right angles

b)

DI=DE

c)

EA=IA

d)

All of the above

26.

What is the measure of $\overline{XW}$

(a)

27.

What is the measure of $\overline{AC}$

(a)

28.

Find PQ and justify. Select all that apply.

a)

Perpendicular Bisector Theorem

b)

$\frac{1}{3}$

c)

Converse Perpendicular Bisector Theorem

d)

3

e)

Angle Bisector Theorem

29.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

30.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

31.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

32.

What is #4 Statement?

a)

All of correct

b)

SP ≌ SP

c)

PS ≌ SP

d)

PS ≌ PS

33.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

34.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

35.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

36.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

37.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle APB\cong\angle CPD$ ; Vertical angles are congruent

b)

$\angle A\approx\angle D$ ; Alternate Interior angles are congruent when formed by parallel lines

c)

$\angle C\cong\angle B$ ; Alternate Interior angles are congruent when formed by parallel lines

d)

$\overline{AB}\cong\overline{CD}$ ; Prove

38.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{DC}\cong\overline{DC}$ ; Reflexive Property

b)

$\angle A\cong\angle B$ ; Reflexive Property

c)

$\angle1\cong\angle2$ ; Reflexive Property

d)

$\overline{AD}\cong\overline{DB}$ ; Midpoint Theorem

39.

Choose all valid methods for proving triangles are congruent.

a)

HL

b)

SSA

c)

ASA

d)

AAS

e)

AAA

40.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

41.

Find y.

a)

50

b)

130

42.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

43.

5) True or False.

If the following parallel lines are cut by a transversal, would

\angle2

and

\angle6

be corresponding?

a)

True

b)

False

44.

What is a transversal?

a)

A line that intersects two or more lines

b)

The angles opposite of each other when two lines cross

c)

Two angles whose sum measures 180 degrees

d)

Lines that intersect to form a 90 degree angle

45.

What are alternate interior angles?

a)

A pair of angles on the outer side of two lines cut by a transversal, but on opposite sides of the transversal

b)

The angles opposite of each other when two lines cross

c)

A pair of angles on the inner side of two lines cut by a transversal, but on opposite sides of the transversal

d)

Two angles in the same position when parallel lines are cut by a transversal

46.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

47.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

48.

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

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

49.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=3.4

b)

Complementary; x=45

c)

Supplementary; x=20

d)

Supplementary; x=175

50.

Solve for x

a)

6

b)

140

c)

20

d)

90

51.

Which pair of angles add up to 180 degrees?

a)

A and W

b)

C and X

c)

D and X

d)

A and G

52.

Solve for x

a)

4

b)

3

c)

-10

d)

11

Geometry Units 3-6

Total questions: 52

Worksheet time: 2hrs 41mins

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