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Triangle congruence (Group 1) Grade 8

Date post: 04-Aug-2015
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Page 1: Triangle congruence  (Group 1) Grade 8

I

CUN

LAT

NRO

ENR

C G EE

G

Page 2: Triangle congruence  (Group 1) Grade 8
Page 3: Triangle congruence  (Group 1) Grade 8

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

Page 4: Triangle congruence  (Group 1) Grade 8

B C

D

A

Given: BCAD ACBA

ACDABD Prove:

Page 5: Triangle congruence  (Group 1) Grade 8

PROOFStatement Reasons

Perpendiculars form right angles

A triangle with a 90 angle is a right triangle

Given

AD = AD Reflexive

Hypotenuse-leg Postulate

ACBA

ADCADB

nglesright tria are ADCandADB

nglesright tria are ADCandADB

Page 6: Triangle congruence  (Group 1) Grade 8

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

Page 7: Triangle congruence  (Group 1) Grade 8

CB

A

R

P

Q

Given:

Prove:

PQAB B Q

C and R are right angles

PQRABC

Page 8: Triangle congruence  (Group 1) Grade 8

PROOFStatement Reasons

Given

Any two right angles are congruent

HyA Congruence Theorem

PQRABC

PQAB B Q

C and R are right angles

C R

Page 9: Triangle congruence  (Group 1) Grade 8

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