Introducing
Your new presentation assistant.
Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.
Trending searches
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
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 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