Download Geometry Chapter Four Congruent Triangles Section 4 Prove

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Transcript
Geometry
Chapter Four
Congruent Triangles
Section 4
Prove Triangles Congruent
by
Side­Angle­Side
Hypotenuse­Leg
Vocabulary
Legs­ the two sides that form the right angle of a triangle
Hypotenuse­ the longest side of a right triangle or the side opposite the right angle
right angle points to hypotenuse
SAS ­ Need two sides and the angle between them
Given
Given
Alt. Int. angles ≅
Reflex. Prop
SAS
The triangles are congruent.
SMR ≅
QMP because they are vertical angles
SM and MQ are both radius of circle M
RM and PM are both radius of circle M
SMR QMP
SAS
SAS
SAS
Given
Given
Def of Def of Rt. Triangle
Reflex. Prop.
HL
RP ≅ RP by Reflex. Prop.
Yes you can prove the triangles congruent by SAS
Goal: To learn how to use SAS and HL to prove triangles congruent.
Learning Activity: p. 243 # 1 ­ 18 all