HyA and HyL Math PpT.
26
ACTIVITY 8
Transcript of HyA and HyL Math PpT.
![Page 1: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/1.jpg)
ACTIVITY 8
![Page 2: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/2.jpg)
(
)
![Page 3: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/3.jpg)
![Page 4: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/4.jpg)
![Page 5: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/5.jpg)
The legs are the twoshorter sides of a right
triangle.The legs of a right triangleare perpendicular to each
other.
![Page 6: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/6.jpg)
![Page 7: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/7.jpg)
EXAMPLE
![Page 8: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/8.jpg)
*HY is congruent to LE
*HP is congruent to LG
*So, ∆HYP ≅ ∆LEG.
![Page 9: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/9.jpg)
GIVEN:
PROVE:
![Page 10: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/10.jpg)
PROOF:
STATEMENT REASON
MT ⊥ AH ?
AM≅MH?
∠MTA and ∠MTH are right
angles
?
∆MTA and∆MTH are right triangles.
?
MT ≅ MT ?
∆MAT ≅ ∆MHT ?
![Page 11: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/11.jpg)
GIVEN
![Page 12: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/12.jpg)
![Page 13: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/13.jpg)
![Page 14: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/14.jpg)
![Page 15: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/15.jpg)
![Page 16: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/16.jpg)
HyL
Congruence
Theorem
![Page 17: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/17.jpg)
![Page 18: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/18.jpg)
![Page 19: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/19.jpg)
![Page 20: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/20.jpg)
![Page 21: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/21.jpg)
* AC ≅ XZ
* ∠ 𝐶 ≅ ∠ 𝑍
* So, ∆ 𝐴𝐵𝐶 ≅∆ 𝑋𝑌𝑍
![Page 22: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/22.jpg)
GIVEN:
PROVE:
![Page 23: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/23.jpg)
STATEMENTS REASONS
∠ 𝐴 ≅ ∠ 𝐷 GIVEN
AB ≅ 𝐷𝐸 GIVEN
∠ 𝐶 ≅ ∠ 𝐹 DEFINITION OF RIGHT ANGLES
∆ 𝐴𝐵𝐶 ≅ ∆ 𝐷𝐸𝐹 ASA CONGRUENCE
∆ 𝐴𝐵𝐶 ≅ ∆ 𝐷𝐸𝐹 HyA CONGRUENCE POSTULATE
![Page 24: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/24.jpg)
:SUMMARIZATION:
![Page 25: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/25.jpg)
![Page 26: HyA and HyL Math PpT.](https://reader034.fdocuments.us/reader034/viewer/2022050621/559f02711a28ab2e378b46b4/html5/thumbnails/26.jpg)