Geometry Warm Up:pg. 224 # 20

HW answers Pg. 216 # 1-17

4.4 Are there Congruence Shortcuts? pg. 219 to 224

So Triangles are the basis for construction of buildings....

WHY?

Because they give more support...

There are many different kinds of triangles and when using them you need to make sure the triangles you use are EXACTLY the same....

So how do we KNOW that triangles are congruent?

-Match up measures-Match up tick marks

What happens if there are seems to be not enough information?

There are 6 different ways that the same 3 parts of a triangle are congruent....

THINK-How does the measure of an angle help determine the length of a side?

REMEBER:-Longest side is across for largest angle_Medium side is across from medium angle-Shortest side is across from smallest angle

The ANGLE effects the side length and vice versa

Included Angle (angle between 2 sides)Included Side (side between 2 angles)

6 different ways to name 3 different parts of 2 triangles to SEE if they are congruent.......(pg. 219)

So what does it mean.....

Are these 2 triangles ≅ ?HOW do you know?

What about SAS?

HOW does this work?ARE the triangles congruent?

What about SSA?

HOW does this work? Are the triangles congruent?

Can prove a counter example so SSA is NOT a congruence shortcut..

What about ASA?

HOW do you prove this?Does thos work as a shortcut?

4.5 pg. Are there other Congruence Shortcuts? 225 to 229

What about SAA?

HOW does this work?Does it prove triangles are congruent?

What about AAA?

We already talked about this.WHY would 2 triangles not be congruent in this case?

So which triangle shortcuts are true?

Which are false?

What does it all mean?If two triangles have 3 corresponding matching

pieces THEN they are Congruent!

BUT remember ORDER MATTERS!! If it does not match then don't force it!

Let's see how this works......pg. 222 # 1-13 odd AND pg. 227 # 1-15 odd

pg. 227 # 1-15 odd