Download presentation

Presentation is loading. Please wait.

Published byJewel Wyeth Modified over 3 years ago

1
Lesson 6-3 Test for Parallelograms

2
Concept 1

3
Example 1 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.

4
Example 1 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 . Which method would prove the quadrilateral is a parallelogram?

5
Example 2 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.

6
Example 2 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.

7
Example 2 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

8
Example 3 Use Parallelograms and Algebra to Find Values Find x and y so that the quadrilateral is a parallelogram.

9
Example 3 A.m = 2 B.m = 3 C.m = 6 D.m = 8 Find m so that the quadrilateral is a parallelogram.

10
Concept 3

Similar presentations

Presentation is loading. Please wait....

OK

Concept 1.

Concept 1.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on self awareness definition Ppt on abo blood grouping experiment Ppt on economic order quantity models Jit ppt on manufacturing business Ppt on low level language Ppt on db2 introduction letter Ppt on cobb douglas production function Ppt on types of distribution channels Ppt on personality test Ppt on brand marketing agencies