1. Chapter 6
Lessons 1-3

2. Classifying
Angles
Sides
Parallelogram?
100
100
100
100
200
200
200
200
300
300
300
300
400
400
400
400
500
500
500
500

3. Judging by appearances, which figure is a trapezoid?
Row 1, Col 1

4. WXYZ is a parallelogram. Name an angle congruent to
1,2

5. Find the values of the variables and the lengths of the sides of this kite.
X=9
Y=13
1,3

6. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?b. c. d.
1,4

7. What type of quadrilateral has exactly one pair of parallel sides?
Trapezoid
2,1

8. ABCD is a parallelogram. If then The diagram is not to scale.
114°
2,2

9. LMNO is a parallelogram
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
2,3

10. Find values of x and y for which ABCD must be a parallelogram
Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
x=10
y=7
2,4

11. quadrilateral, parallelogram, rhombus. 3,1
Judging by appearance, classify the figure in as many ways as possible using rectangle, trapezoid, square, quadrilateral, parallelogram, rhombus.
quadrilateral,
parallelogram,
rhombus.
3,1

12. ABCD is a parallelogram. If then The diagram is not to scale.
115°
3,2

13. 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
3,3

14. yes, opp. angles congruent.
Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
yes, opp. angles congruent.
3,4

15. What type of quadrilateral has all sides congruent?
square
rhombus
4,1

16. For the parallelogram, if and find The diagram is not to scale.
163°
4,2

17. 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
4,3

18. yes, opp. sides congruent
Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.
yes, opp. sides congruent
4,4

19. What is the most precise name for quadrilateral ABCD with vertices A(-5, 2), B(-3, 6), C(6, 6), and D(4, 2)?
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 B C A D
Parallelogram
5,1

20. Find the values of the variables in the parallelogram
Find the values of the variables in the parallelogram. The diagram is not to scale.
x=29°
y=49°
z=102°
5,2

21. Isosceles trapezoid ABCD has legs AB and CD and base BC
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
5,3

22. Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
yes, diagonals bisect
5,4