Welcome To Class! Relate triangle congruence to real life situation. Identify corresponding parts of congruent triangle; Name congruent triangles; Find the measure of corresponding parts of congruent triangles; and Today’s Objectives:
When we can say that the triangle are congruent?
Two triangle are congruent when their corresponding sides are equal in length , and their corresponding angles are equal in measure .
TYPES OF MOTION
TYPE OF MOTION 1 3 8 7 6 2
TYPE OF MOTION 1 3 8 7 6 2 By Rotation ( TURN ) Turning the figure around fixed point.
TYPE OF MOTION 1 3 7 7 6 8 2 By Rotation ( TURN ) Turning the figure around fixed point. By Translation ( SLIDE ) From one point to another without turning it
TYPE OF MOTION 1 3 7 6 8 2 By Translation ( SLIDE ) From one point to another without turning it By Rotation ( TURN ) Turning the figure around fixed point. By Reflection ( FLIP ) Flipping a figure over a line.
TYPE OF MOTION 1 3 7 6 8 2 By Rotation ( TURN ) Turning the figure around fixed point. By Translation ( SLIDE ) From one point to another without turning it By Reflection ( FLIP ) Flipping a figure over a line.
TYPE OF MOTION 1 3 7 6 8 2 By Rotation ( TURN ) Turning the figure around fixed point. By Translation ( SLIDE ) From one point to another without turning it By Reflection ( FLIP ) Flipping a figure over a line.
CONGRUENT TRIANGLE B A C F E D A _____ _____ _____ CORRESPONDING ANGLES CORRESPONDING SIDES A Congruence Statement:
Example 1: B A C F E D A CORRESPONDING ANGLES CORRESPONDING SIDES Congruence Statement: If then A = 80 = 80 = 60 = 60 = 40 = 40 = 5 cm = 5 cm = 10 cm = 10 cm = 7 cm = 7 cm If then 60 60 40 40 5 cm 5 cm 10 cm 10 cm 7 cm 7 cm
Example 2: C N x A CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES 30 110 Triangle Sum Theorem 180 180 R S O 30 110
Example 3 R N U I T S 40 90 50 (2n + 10) CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES
Example 4 19 cm 30 cm 3x-5 4x-2 cm 70 cm 6x-5 CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES Solve f or x: Divide it both side by 3 Divide it, both side by 4 X=8 L E T N O W
Example 4 19 cm 30 cm 3x-5 4x-2 cm 70 cm 6x-5 CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES Solve f or x: Divide it both side by three Divide it, both side by 4 X=8 Divide it, both side by 6 L E T N O W N O W
Activity Time! CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES 90 cm 70 cm
Assignment:
Activity Time! CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES M E D N N A 130 20 x
Activity: R E A M A O 70 20 50 (2n + 10) CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES
Assessment: R E A M A O 75 50 (2n + 10) CORRESPONDING CONGRUENT ANGLES CORRESPONDING CONGRUENT SIDES x 100 cm 20 cm 7x - 3 cm 6x - 2 cm 4x - 2 cm 90 cm