Free Printable quadrilateral and parallelograms congruence/proofs

1.

I am a polygon with 2 pairs of parallel sides, 4 right angles, and all four sides are equal. What am I?

a)

kite

b)

rectangle

c)

square

d)

trapezoid

2.

I am a polygon with 4 sides. What am I?

a)

triangle

b)

quadrilateral

c)

hexagon

d)

pentagon

3.

I am a polygon with 2 pairs of parallel sides and 4 right angles. What am I?

a)

trapezoid

b)

parallelogram

c)

kite

d)

rectangle

4.

Classify this the quadrilateral in as many ways as possible.

a)

quadrilateral, trapezoid, square

b)

quadrilateral, trapezoid

c)

quadrilateral, parallelogram, trapezoid

5.

Jacob draws a quadrilateral with two pairs of parallel sides. Which of the following shapes could NOT be Jacob's shape?

a)

rhombus

b)

square

c)

trapezoid

d)

rectangle

6.

A _______________ is a quadrilateral with two sets of parallel sides.

a)

trapezoid

b)

parallelogram

c)

kite

d)

triangle

7.

Give the most specific name for this quadrilateral.

a)

Quadrilateral

b)

Rhombus

c)

Kite

d)

Parallelogram

8.

What triangle congruence criteria is shown in the given diagram?

a)

AAS

b)

ASA

c)

SSA

d)

SAS

9.

What triangle congruence criteria is shown in the given diagram?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

10.

A triangle with two congruent sides and two congruent angles (base angles) is called ...

a)

scalene

b)

equilateral

c)

isosceles

d)

obtuse

11.

a)

A

b)

B

c)

C

d)

D

12.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

13.

Use the congruence statement and figure to find the missing part of the statement

a)

∠FEG

b)

∠HEF

c)

∠EFH

d)

∠H

14.

Debbie is painting an image on a piece of art canvas. The image she is reproducing is 3 inches by 5 inches. She enlarges the dimensions 4 times. Which of the following statements is NOT true?

a)

The perimeter of the original image and the perimeter of the new image are related by a scale factor of 4.

b)

The area of the new image is 4 times the area of the original image.

c)

The area of the original image and the area of the new image are related by a scale factor of 16.

d)

The perimeter of the original image is $\frac{1}{4}$ the perimeter of the new image.

15.

Which of the following statements is NOT true if $\Delta JKL$ is congruent to $\Delta RST$ ?

a)

$\angle J\ \cong\ \angle R$

b)

$\angle K\ \cong\ \angle T$

c)

$\overline{JK}\ \cong\ \overline{RS}$

d)

$\overline{KL}\ \cong\ \overline{ST}$

16.

Which of the following images shows a rotation of 180^o?

a)

b)

c)

d)

17.

Are the triangles similar? If so, why?

a)

Yes. SSS~

b)

No

c)

Yes. AA~

d)

Yes. ASA~

18.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

19.

Sharon made a list of attributes:

4 sides
4 angles
2 pairs of parallel sides
2 pairs of sides the same length

Which shapes have ALL attributes?

a)

A, B, C

b)

B, C, D

c)

A, C, E

d)

C, D, E

20.

Sharon made a list of attributes:

4 sides
4 angles
2 pairs of parallel sides
2 pairs of sides the same length

Which shapes do not have all attributes?

a)

A, B

b)

B, D

c)

B, C

d)

A, E

21.

Which of the following correctly identifies the 3 congruence statements for the vertices?

a)

$\angle L\cong\angle P,\ \angle M\cong\angle Q,\ \angle N\cong\angle P$

b)

$\angle N\cong\angle Q,\ \angle M\cong\angle N,\ \angle P\cong\angle L$

c)

$\angle L\cong\angle P,\ \angle M\cong\angle P,\ \angle N\cong\angle P$

d)

\angle L\cong\angle Q,\ \angle M\cong\angle P,\ \angle N\cong\angle N

22.

Which congruency statement is NOT true?

a)

$\overline{LM\ }\cong\overline{QP}$

b)

$\overline{NP\ }\cong\overline{NM}$

c)

$\overline{LN\ }\cong\overline{PQ}$

d)

$\overline{QN\ }\cong\overline{LN}$

23.

$\Delta DEF\cong\Delta JKL.$ Which of the following congruency statement is NOT true.

a)

$\overline{KL}\cong\overline{DE}$

b)

$\overline{EF}\cong\overline{KL}$

c)

$\overline{FD}\cong\overline{LJ}$

d)

$\overline{JK}\cong\overline{DE}$

24.

$\Delta DEF\cong\Delta JKL.\$ Which of the following congruency statements is NOT true?

a)

$\angle K\cong\angle E$

b)

$\angle L\cong\angle F$

c)

$\angle J\cong\angle D$

d)

$\angle E\cong\angle L$

25.

Why is a Triangle called Isosceles?

a)

It has two sides that match

b)

It has three sides that match

c)

It has no sides that match

d)

It has four sides that match

26.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

27.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

What is the Value of angle A?

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

33.

What is the value of angle D?

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

34.

The figure is a parallelogram.

Find x and y.

a)

x = 40 , y = 40

b)

x = 30, y = 30

c)

x = 40, y = 30

d)

x = 30, y = 40

35.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

7

d)

5

36.

The figure is a parallelogram.

Find x and y.

a)

x = 70, y = 80

b)

x = 70, y = 30

c)

x = 80, y = 70

d)

x = 80, y = 30

37.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Definition of Parallelogram

b)

Parallelogram Opposite Sides Converse

c)

Opposite Sides Parallel and Congruent Theorem

d)

Not enough info

38.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Definition of Parallelogram

b)

Parallelogram Opposite Sides Converse

c)

Opposite Sides Parallel and Congruent Theorem

d)

Not enough info

39.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Parallelogram Opposite Sides Converse

b)

Definition of Parallelogram

c)

Parallelogram Diagonals Converse

d)

Not enough info

40.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Definition of Parallelogram

b)

Parallelogram Opposite Angles Converse

c)

Opposite Sides Parallel and Congruent Theorem

d)

Not enough info

quadrilateral and parallelograms congruence/proofs

Total questions: 40

Worksheet time: 1hrs 8mins

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