Modern Marvels: Assembly Line Our Motto is: Speed

Food for Thought During what times in real-life, have you depended upon having identical parts? Explain. Describe a situation in which you needed an identical part, but could not find one. What was that like?

Objectives:  To identify congruent polygons and their corresponding parts  To use congruent polygons to determine missing measures

Congruent figures have the same size and shape.

Puzzles Puzzles: Determine which two figures are identical. You may need to trace the figures, then flip, turn or slide the tracings over others

Two polygons are congruent if and only if:  ALL their corresponding angles are congruent AND  ALL their corresponding sides are congruent A CORRESPONDENCE is a matching up of the segments and angles of one polygon with the segments and angles of another polygon.

 Determine if the two polygons below are similar. Explain.  Match the correspondence to write a congruence statement: It is easier to determine correspondence between angles.

ALL Corresponding Angles ≡ ALL Corresponding Sides ≡

Plot a point T, so that it appears that ∆TOP = ∆CAT Plot 2 points I& S, so that it appears that SOAP = DISH P H P A D T P S O C A

Find the missing measures, given ∆ DOG ≡ ∆ HSE : H D E 40 G O S 10 Using Congruent Polygons to Determine Missing Measures HE = ___ m / G = ___ ES = ___ SH = ___

Final Checks for Understanding 1.Name two conditions which must be met to show two polygons are congruent. a. __________________________ b. __________________________ 2. Given ∆ LUV Ξ ∆ MNY, what else can be determined?

Homework Assignment: Congruent Polygons WS, plus select problems from textbook: