Upload
mdicken
View
282
Download
2
Embed Size (px)
Citation preview
Ch4.2_CongruentTriangles.notebook
1
October 24, 2011
Chapter 4.2Congruent Triangles
Ch4.2_CongruentTriangles.notebook
2
October 24, 2011
Congruent means same measure (or size and shape)
Congruent triangles havecongruent angles andcongruent sides
≅
X
ZY A C
B
Ch4.2_CongruentTriangles.notebook
3
October 24, 2011
Types of Triangle CongruencesThe SSS Postulate
2 triangles are congruent if:3 sides of one triangle are equal to the 3 sides of the other triangle
(sidesideside)
Ch4.2_CongruentTriangles.notebook
4
October 24, 2011
Types of Triangle CongruencesThe SAS Postulate
2 triangles are congruent if:2 sides and their included angle of one triangle are equal to 2 sides and their included angle of the other triangle
(sideangleside)
Included angle
Ch4.2_CongruentTriangles.notebook
5
October 24, 2011
Types of Triangle CongruencesThe ASA Postulate
2 triangles are congruent if:2 angles and their included side of one triangle are equal to 2 angles and their included side of the other triangle
(anglesideangle)
Included side
Ch4.2_CongruentTriangles.notebook
6
October 24, 2011
Are the following triangles congruent?If so, by what congruence postulate?
Ch4.2_CongruentTriangles.notebook
7
October 24, 2011
Which Postulate?
Ch4.2_CongruentTriangles.notebook
8
October 24, 2011
Statement Reason
Definition ofperpendicularlines
Prove: ΔVWX ≅ ΔZXY
Ch4.2_CongruentTriangles.notebook
9
October 24, 2011
Given: RQ = RSRT bisects <QRS
Prove: ΔQRT = ΔSRT
Q
R
ST
Statement Reason
Ch4.2_CongruentTriangles.notebook
10
October 24, 2011
Page 156
#17