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?
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Ask questions BEFORE the assessment
Review class notes and homework assignments
Complete the attached practice
Use 6th grade IXL to practice
Quadrilaterals
BB.9: Classify quadrilaterals
Congruency
BB.14: Congruent & similar
figures
Inequalities
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
Rhombus
Rectangle
Trapezoid
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?)
Rectangle
19)
Rhombus
Consider the following shape:
What is the best name of the shape?
A. trapezoid
20)
B. rhombus
C. rectangle
D. parallelogram
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
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?
_
26)
27)
________ inches
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.
ABCD is a rectangle.
A
B
D
C
Which of the following is true?
A.
B.
C.
D.
28)
AD = BC
AC = AB
AB ⊥ CD
BD = CD
Which shapes appear to be congruent?
A) Shapes 1 and 3 only
1
2
4
3
5
B) Shapes 2 and 4 only
6
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?
31)
A x < 4 and 4 >x
B x ≤ 4 and 4 ≤x
C x < 4 and 4 <x
D x ≤ 4 and 4 ≥x
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)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
Square and Rectangle
Parallelogram, Square, Rhombus, and Rectangle
Trapezoid
Square
Parallelogram, Trapezoid, and Kite
Square and Rhombus
Square and Rhombus
Parallelogram, Rectangle, Square, and Rhombus
Kite
Parallelogram, Rectangle, Rhombus, Square, and Kite
360
A, D, E & F are all false
D
D
105°
80°
115°
Square
D
B
Size and Shape
B
C
38
8
C
A
D
𝑥>4
A
12 ≥ 𝑚 and 𝑚 ≤ 12