ACTIVITY 8

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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: