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Transcript

The L-L Theorem ( The Leg-Leg Theorem)

Example #1:

Thank you!

Segment AB and segment DE, which

are both legs of their respective

triangles, are congruent because

that information is given.

Segment BC and segment EF, which

are both legs of their respective

triangles, are congruent because

that information is given.

The figure also denotes both triangles as

right triangles. Because of that fact,

and the fact that both legs are congruent,

triangle ABC and triangle DEF are

congruent by the Leg-Leg Theorem.

By: Matthew Calaycay

Job Cuta

Tameka Cuilan

Holly Pantaleon

Kyla Dumpit

Beatricia Navor

Holly Pantaleon

Hanna Racca

Example#2

Given AB = XZ, AC = ZY, ACB = ZYX = 90°

Prove ABC XYZ

ABC and XZY are right triangles since they both have a right angle

AB = XZ (hypotenuse) reason: given

AC = ZY (leg) reason: given

ABC XYZ by the hypotenuse leg theorem which states that two right triangles are congruent if their hypotenuses are congruent and a corresponding leg is congruent.

The L-L Theorem

Exapmles:

The Leg-Leg Theorem is a rule specially designed for use with right triangles.

If two legs of one right triangle are congruent to the corresponding legs of another right triangle, then the two triangles are congruent

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