Chapter 6 Lessons 1-3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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