Math 6

Properties of Quadrilaterals and Congruent Polygons

SOLs 6.12 & 6.13

Study Guide

What do I need to know for the upcoming assessment?

Properties of Quadrilaterals:

Identify a quadrilateral given the properties of the shape

Identify the commonalities of given shapes based on properties

Identify the differences in shapes based on properties

Vocabulary: congruent, opposite, parallel, and adjacent

The sum of the angles in every quadrilateral is 360°

Find the measure of a missing angle.

Congruency:

Shapes are congruent when they are exactly the same size and shape

Shapes that are the same, but different size they are similar

Review Topic: Inequalities

Identify an equality based on a given graph

Write an inequality statement based on a graph

Will I be able to use a calculator on the assessment?

Yes, a calculator will be provided.

What can I do to prepare for the assessment?

Ask questions BEFORE the assessment

Review class notes and homework assignments

Complete the attached practice

Use 6th grade IXL to practice

Quadrilaterals Congruency Inequalities

BB.9: Classify quadrilaterals BB.14: Congruent & similar figures

U.2: Inequalities on a number line (7th grade)

Quadrilaterals and Congruency

Review

SOL 6.12 and 6.13

Consider the following quadrilaterals:

Parallelogram Square Trapezoid

Rhombus Rectangle Kite

1) Which of the figures have four right angles?

2) Which of the figures are always parallelograms?

3) Which of the figures has one pair of parallel sides?

4) Which of the figures can be a rectangle and a rhombus?

5) Which of the figures can ONLY be classified as a quadrilateral?

6) Which of the figures have four equal sides?

7) Which of the figures have opposite sides that are parallel and congruent?

8) Which of the figures have diagonal bisectors?

9) Which of the figures have adjacent sides that are congruent?

10) Which of the figures have opposite angels that are congruent?

11) The sum of the angles for every quadrilateral is _______________degrees.

12) Identify EACH false statement.

A. Every rhombus is a square. B. Every rectangle is a parallelogram.

C. Every square is a rectangle. D. Every trapezoid is a parallelogram.

E. A parallelogram is a square F. A trapezoid has 2 pairs of parallel sides

13) Consider the following square:

Classify the square in as many ways as possible:

A. Parallelogram, rhombus, and square.

B. Parallelogram, rectangle, and square.

C. Quadrilateral, rectangle, rhombus, and square.

D. Quadrilateral, parallelogram, rectangle, rhombus, and square.

14) Henry drew a quadrilateral with exactly one pair of parallel sides. What figure did Henry

draw?

A. Rhombus B. Parallelogram

C. Kite D. Trapezoid

15-17: Find the measure of the missing angles.

15)

16)

17)

18) What shape belongs in the overlapping section of the Venn Diagram?

(Hint: Which shape is both a rhombus and a rectangle?)

19) Consider the following shape:

What is the best name of the shape?

A. trapezoid B. rhombus C. rectangle D. parallelogram

20) Consider the group of shapes:

Identify EACH characteristic the shapes have in common.

A) Two pairs of parallel sides B) One pair of parallel sides

C) All side congruent D) Two pair of congruent sides

E) Opposite angles congruent F) At least one right angle

Rectangle Rhombus

21) If two figures are congruent, they have the same _______________________

and _____________________________.

22) Which pair of polygons appear to be congruent?

A.

B.

C.

D.

23) What makes these two figures congruent?

A. They are the same shape, but different sizes.

B. They are the same size, but different shapes.

C. They are the same shape and the same size.

D. They have different shapes and different sizes.

24) An angle has a measure of 38°. What is the measure of an angle congruent to this angle?

_______ degrees

25) One side of a rectangle is 8 inches. What is the length of the side of the rectangle that is

parallel to this side?

_ ________ inches

26) A square has a side with a length of 52. What is the length of a side parallel to the side?

A. 5 B. 10

C. 25 D. Impossible to determine.

27) ABCD is a rectangle.

A B

D C

Which of the following is true?

A. AD = BC

B. AC = AB

C. AB ⊥ CD

D. BD = CD

28) Which shapes appear to be congruent?

1

2 3

4 5

6

A) Shapes 1 and 3 only

B) Shapes 2 and 4 only

C) Shapes 1, 3, and 4

D) Shapes 5 and 6 only

E) Shapes 3, 5, and 6

F) None of the shapes appear to be

congruent

29) Write the inequality statement for the graph below.

30) Which two inequalities correctly represent the graph?

A x < 4 and 4 >x B x ≤ 4 and 4 ≤x

C x < 4 and 4 <x D x ≤ 4 and 4 ≥x

31) Identify each inequality that is represented by the graph shown.

m ≥ 12 m > 12 12 ≤ m 12 < m

12 ≥ m m ≤ 12 m < 12 12 > m

Answer Key:

1) Square and Rectangle

2) Parallelogram, Square, Rhombus, and Rectangle

3) Trapezoid

4) Square

5) Parallelogram, Trapezoid, and Kite

6) Square and Rhombus

7) Square and Rhombus

8) Parallelogram, Rectangle, Square, and Rhombus

9) Kite

10) Parallelogram, Rectangle, Rhombus, Square, and Kite

11) 360

12) A, D, E & F are all false

13) D

14) D

15) 105°

16) 80°

17) 115°

18) Square

19) D

20) B

21) Size and Shape

22) B

23) C

24) 38

25) 8

26) C

27) A

28) D

29) 𝑥 > 4

30) A

31) 12 ≥ 𝑚 and 𝑚 ≤ 12