Download presentation
Presentation is loading. Please wait.
Published byVernon Snow Modified over 9 years ago
1
Do Now Are triangles ABC and DEF congruent? A(-2,-2) B(4,-2) C(4,6) and D(5,7) E(5,1) F(13,1) –What types of lines make up the triangle?
2
Congruence How do we know if triangles are congruent? What do we need to know about the triangles in order to be able to assume they are congruent?
3
Side Angle Side Congruence Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
4
Right Triangles Can we assume that the triangles are congruent? Why?
5
Hypotenuse Leg Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.
6
Given: WY congruent to XZ, WZ perp. To ZY, and XY perp. To ZY Prove: Triangles WYZ and XZY are congruent WY congruent to XZ WZ perp. ZY, XY perp. ZY Angles Z and Y are right Triangles WYZ and XZY are right triangles ZY congruent to YZ Triangles WYZ and XZY are congruent.
7
Given: WY congruent to XZ, WZ perp. To ZY, and XY perp. To ZY Prove: Triangles WYZ and XZY are congruent WY congruent to XZ WZ perp. ZY, XY perp. ZY Angles Z and Y are right Triangles WYZ and XZY are right triangles ZY congruent to YZ Triangles WYZ and XZY are congruent. Given Def of Perpendicular Def of a right Triangle Reflexive Prop. Of Congruence HL Congruence Thm
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.