Download presentation

Presentation is loading. Please wait.

Published byPaul Chase Modified over 8 years ago

2
Work as a team to solve the following problem: In rectangle ABCD, X and Y are mid- points of AB and CD and PD QC. Compare the area of quadrilateral XQYP with the area of ABCD. Prove your conjecture.

3
A kite = A △ ABD + A △ DBC B C D Two formulas A DB = 10m BC = 13m <BAD is a right angle Find the area of the kite. A = ½(10)(5) + ½ (10)(12) = 25 + 60 = 85 m 2

4
Theorem 105: The area of a kite equals half the product of its diagonals. A kite = d 1 d 2 A kite = ½ (10)(17) = 85m 2 B C D A DB = 10m AC = 17m Find the area of the kite.

5
Find the area of a rhombus whose perimeter is 20 and whose longer diagonal is 8. A rhombus is a parallelogram, so its diagonals bisect each other. It is also a kite, so its diagonals are perpendicular to each other. XZ = 8 & XP = 4 The perimeter is 20 so XB = 5. Δ BPX is a right triangle so BP = 3 & BY = 6. A = ½ d 1 d 2 A = ½ (6)(8) A = 24

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google