Chapter 6

Lessons 1-3

100 100

200 200200

400 400

300300

400400

Classifying Angles Sides Parallelogram?

300 300 300300

200200

400400

200

100100

500 500 500500 500500

100

Row 1, Col 1

Judging by appearances, which figure is a trapezoid?

a. b.

c.d.

1,2

WXYZ is a parallelogram. Name an angle congruent to WZY.

WXY

1,3

Find the values of the variables and the lengths of the sides of this kite.

X=9

Y=13

1,4

Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?

XW YZ and XY WZ

XW WZ and XY WZ

YN NX and XN NY

XW YZ and XY YZ

c.

a.

b.

d.

2,1

What type of quadrilateral has exactly one pair of parallel sides?

Trapezoid

2,2

ABCD is a parallelogram. If then The diagram is not to scale.

mCDA 66, mBCD ? .

114°

2,3

LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL.

x=5

NM=20

OL=20

2,4

Find values of x and y for which ABCD must be a parallelogram. The diagram is not to

scale.

x=10

y=7

3,1

Judging by appearance, classify the figure in as many ways as possible using rectangle, trapezoid, square,

quadrilateral, parallelogram, rhombus.

quadrilateral, parallelogram,

rhombus.

3,2

ABCD is a parallelogram. If then The diagram is not to scale.

mBCD ? .115DABm

115°

3,3

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 4x – 5, and HE = 2y + 3. Find the values of x and y. The diagram is not to scale.

x=3

y=2

3,4

Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.

yes, opp. angles congruent.

4,1

What type of quadrilateral has all sides congruent?

square

rhombus

4,2

For the parallelogram, if and find The diagram is not to scale.

m2 5x 28 m4 3x 10, m3.

163°

4,3

Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale.

x=7

y=4

20,35

4,4

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.

yes, opp. sides congruent

5,1

What is the most precise name for quadrilateral ABCD with vertices A(-5, 2), B(-3, 6), C(6, 6), and D(4, 2)?

A

B C

D

Slope

AB = 4/2 = 2/1

CD = 4/2 = 2/1

AD = 0/9 = 0

BC = 0/9 = 0

Distance

AB = √20

CD = √20

AD = 9

BC = 9

Parallelogram

5,2

Find the values of the variables in the parallelogram. The diagram is not to scale.

x=29°

y=49°

z=102°

5,3

Isosceles trapezoid ABCD has legs AB and CD and base BC. If AB = 4y – 3, BC = 3y – 4, and CD = 5y – 10, find the value of y.

y=7

5,4

Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.

yes, diagonals

bisect