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CPCTC/Real World Apps - Hitchens · CPCTC #2.notebook 1 December 12, 2016 CPCTC/Real World Apps...

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CPCTC #2.notebook 1 December 12, 2016 CPCTC/Real World Apps Objective: Use triangle congruency proofs to prove real world problems Warm up: A C D Given: AB=CB and BD is perpendicular to AC Prove: <A=<C B You are stuck on an island but can see across the river to land. You decide to build a bridge but you don't know how wide the river is. How would you be able to figure this out?
Transcript

CPCTC #2.notebook

1

December 12, 2016

CPCTC/Real World Apps 

Objective: Use triangle congruency proofs to prove real world problems

Warm up: 

A CD

Given: AB=CB and BD is perpendicular to AC

Prove: <A=<CB

You are stuck on an island but can see across the river to land. You decide to build a bridge but you don't know how wide the river is.

How would you be able to figure this out?

CPCTC #2.notebook

2

December 12, 2016

Now that we know how long the bridge needs to be, lets look at different bridges to see what will 

be the strongest.

Which would you trust? Why?

CPCTC #2.notebook

3

December 12, 2016

We constructed our bridge, but before we let anyone walk over it we need to make sure that it's safe. In order to do this we need to prove the two triangles congruent.

We know that AB was perpendicular to AD and that all the vertical and horizontal bars were the same length.

Are the two triangles congruent?

A

BC

D

CPCTC #2.notebook

4

December 12, 2016

A

B

CD

AB=BC

A

B

CD

We are trying to make a tent. BD is the stake in the middle.  What angle should the pole be dug into the ground to ensure it is the sturdiest?

The tent must be even on both sides so we take our rope and walk out the same amount from D to C and to A.  

Can we prove that we used the same amount of rope on both sides (AB=BC)?

`


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