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ACTIVITY 8
(
)
The legs are the twoshorter sides of a right
triangle.The legs of a right triangleare perpendicular to each
other.
EXAMPLE
*HY is congruent to LE
*HP is congruent to LG
*So, ∆HYP ≅ ∆LEG.
GIVEN:
PROVE:
PROOF:
STATEMENT REASON
MT ⊥ AH ?
AM≅MH?
∠MTA and ∠MTH are right
angles
?
∆MTA and∆MTH are right triangles.
?
MT ≅ MT ?
∆MAT ≅ ∆MHT ?
GIVEN
HyL
Congruence
Theorem
* AC ≅ XZ
* ∠ 𝐶 ≅ ∠ 𝑍
* So, ∆ 𝐴𝐵𝐶 ≅∆ 𝑋𝑌𝑍
GIVEN:
PROVE:
STATEMENTS REASONS
∠ 𝐴 ≅ ∠ 𝐷 GIVEN
AB ≅ 𝐷𝐸 GIVEN
∠ 𝐶 ≅ ∠ 𝐹 DEFINITION OF RIGHT ANGLES
∆ 𝐴𝐵𝐶 ≅ ∆ 𝐷𝐸𝐹 ASA CONGRUENCE
∆ 𝐴𝐵𝐶 ≅ ∆ 𝐷𝐸𝐹 HyA CONGRUENCE POSTULATE
:SUMMARIZATION:
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