Given: ADEF and AGHF are right triangles, F is the midpoint of DG, DE GH Prove: ADEF AGHF H. D. ADEF and AGHF are right triangles; Given Fis the midpoint of DG; Given EF FH; Given DE GH; Given DF FG; Reflexive property DF FG; Def of midpoint ADEF AGHF; HL ADEF AGHF; SSS

Given: ADEF and AGHF are right triangles, F is the midpoint of DG, DE GH Prove: ADEF AGHF H. D. ADEF and AGHF are right triangles; Given Fis the midpoint of DG; Given EF FH; Given DE GH; Given DF FG; Reflexive property DF FG; Def of midpoint ADEF AGHF; HL ADEF AGHF; SSS

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.2: Corresponding Parts Of Congruent Triangles

Problem 44E: HA hypotenuse-angle is also a valid method for proving that two right triangles are congruent a...

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Question

Given: ADEF and AGHF are right triangles,
F is the midpoint of DG, DE GH
Prove: ADEF AGHF
H.
D.
ADEF and AGHF are right triangles; Given
F is the midpoint of DG; Given
EF FH; Given
DE GH; Given
DF FG; Reflexive property
DF FG; Def of midpoint
ADEF AGHF; HL
ADEF AGHF; SSS

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