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Proving Triangles are Congruent by SAS and HL
Ballgirl.wmv
SMART Notebook
3
Recall: By definition, congruent triangles have 6 congruent parts.
Postulate 18 SAS Post.
If 2 sides and the included angle of one triangle are congruent ot 2 sides and the included angle of a 2nd triangle, then the triangles are congruent.
VS
Important to notice!
Angle MUST be included!
or
Theorem 410 HypotenuseLeg (HL) Congruence ThmIf the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of a second right triangle, then the two triangles are congruent.
hypotenuse
leg
leg
Congruent by HL Thm
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1.) Given: DO AG OD bisects AG
Prove: DOA DOG
D
GOA
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2.) Given: B is the midpoint of AD and CE Prove: ABC DBE
A
C
E
D
B
6
7
3.)
Given: AC ≅ EC, AB BD, ED BD, AC is a bisector of BD
Prove: ABC ≅ EDC
Statements Reasons
1.) AC ≅ EC 1.) _____________________
2.) AB BD, 2.) _____________________ED BD
3.)
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Homework:
p. 243245/46 Even, 915, 2022, 2527, 3121
Be sure to draw and mark the parts of the triangle!
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Ballgirl.wmv
SMART Notebook
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