Please download the following apps: 1) Geoboard

2) Nearpod

Warm up

ActivityWork with the person next to you. Decide who is partner one and who is partner 2.

1) Face each other with the screen of your ipad pointed towards you so either partner can’t see each others screen.

2) Partner 1 - Create a simple non-overlapping shape using 3 or 4 pegs (white dots)

3) Partner 1- Describe to your partner how to create the shape that is on your ipad without showing them.

4) Partner 2 – Try to follow partner 1’s instructions as best as you can to make the same shape.

5) Show each other the ipads and compare shapes

6) Switch roles

Answer in Nearpod

What did you look for when comparing whether or not the shape your partner made is the same as the shape you made – BE SPECIFIC and answer in a complete sentence.

Reflect

Congruent FiguresObjective: Describe congruent figures and use information about congruence to find side and angle measures.

Answer in Nearpod –

If the triangles below are congruent:

1) What does the length of have to be? Why?

2) What does the measure of angle C have to be? Why?

Discuss

DefinitionCorresponding parts of congruent figures are congruent means that for two figures to be congruent the corresponding sides and corresponding angles have to be congruent. Given: ΔABC ≅ΔDEF

Find of

Look at the given info:What segment in ΔDEF corresponds to ?

= 3.5 (because = )

Given: ΔABC ≅ΔDEF

Find m<C

Look at the given information: What angle in ΔDEF corresponds to <C in ΔABC?

m < C = 42° (because <C corresponds to <F)

Example 1Given:ΔSTU ≅ΔVWX

1) List the segments that is congruent to and find it’s length

corresponds to which equals 43 ft. So = 43 ft.

2) List the segments that is congruent to <S and find it’s measure

<S corresponds to <V which equals 38° so <S = 38°

Example 2Given:ΔABC≅ΔDEF

1) Find AB1) corresponds to _________ 2) …which means AB = ____3) …by substitution: 3x+8 = 5x

8 = 2x

4) …which means AB = 3(4) +8 = 12+ 8 = 205) AB = 20 in

-3x -3x__ __ 2 2

x = 4

2) Find m<D <D corresponds to ____

m<D = _______

6y+2 = _______

y = _______

m< D = _________________

You TryGiven:GHJK LMNP≅

1) Find LM

2) Find m<H

Check your work:3) x = 8 so LM = 35

4) y = 9 so m<H = 98°

Homework HintFor #3 through 6, draw the quadrilaterals that they give and label the corresponding parts before solving for anything.