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# Triangle congruence (Group 1) Grade 8

Date post: 04-Aug-2015
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I C U N L A T N R O E N R C G E E G
Transcript

I

CUN

LAT

NRO

ENR

C G EE

G

If the hypotenuse and a leg of one right triangle are congruent to the corresponding hypotenuse and a leg of another triangle, then the triangles are congruent.

HyL (Hypotenuse-Leg) Congruence

Theorem

B C

D

A

ACDABD Prove:

PROOFStatement Reasons

Perpendiculars form right angles

A triangle with a 90 angle is a right triangle

Given

Hypotenuse-leg Postulate

ACBA

HyA(Hypotenuse-Acute angle) Congruence

TheoremIf the hypotenuse and an acute angle of one right triangle are congruent to the corresponding hypotenuse and an acute angle of another right triangle, then the triangles are congruent

CB

A

R

P

Q

Given:

Prove:

PQAB B Q

C and R are right angles

PQRABC

PROOFStatement Reasons

Given

Any two right angles are congruent

HyA Congruence Theorem

PQRABC

PQAB B Q

C and R are right angles

C R

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