Lesson 6 3 Test for Parallelograms Identify Parallelograms

Lesson 6 -3 Test for Parallelograms

Identify Parallelograms Determine whether the quadrilateral is a parallelogram. Justify your answer. Answer: If both pairs of opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.

Which method would prove the quadrilateral is a parallelogram? A. Both pairs of opp. sides ||. B. Both pairs of opp. sides . C. Both pairs of opp. s . D. One pair of opp. sides both || and .

Use Parallelograms to Prove Relationships MECHANICS Scissor lifts, like the platform lift shown, are commonly applied to tools intended to lift heavy items. In the diagram, A C and B D. Explain why the consecutive angles will always be supplementary, regardless of the height of the platform.

Use Parallelograms to Prove Relationships Answer: Since both pairs of opposite angles of quadrilateral ABCD are congruent, ABCD is a parallelogram by Theorem 6. 10. Theorem 6. 5 states that consecutive angles of parallelograms are supplementary. Therefore, m A + m B = 180 and m C + m D = 180. By substitution, m A + m D = 180 and m C + m B = 180.

The diagram shows a car jack used to raise a car from the ground. In the diagram, AD BC and AB DC. Based on this information, which statement will be true, regardless of the height of the car jack. A. A B B. A C C. AB BC D. m A + m C = 180

Use Parallelograms and Algebra to Find Values Find x and y so that the quadrilateral is a parallelogram.

Find m so that the quadrilateral is a parallelogram. A. m = 2 B. m = 3 C. m = 6 D. m = 8