Modern Marvels: Assembly Modern Marvels: Assembly LineLine

Our Motto

is: S

peed

Food for ThoughtFood 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.

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

1.

2.

3.

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 60

7 8 E 40

G O S 10

Using Congruent Polygons to Determine Missing Measures

HE = ___ m / G = ___ES = ___SH = ___

Final Checks for Final Checks for UnderstandingUnderstanding

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: