7. 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...
8. 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?
9. 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
10. 6 different ways to name 3 different parts of 2
triangles to SEE if they are congruent.......(pg. 219)
Included Angle (angle between 2 sides)
Included Side (side between 2 angles)
11. So what does it mean.....
Are these 2 triangles ≅ ?
HOW do you know?
13. What about SSA?
HOW does this work? Are the triangles congruent?
14. Can prove a counter example so SSA is NOT a
congruence shortcut..
15. 4.5 pg. Are there other Congruence Shortcuts? 225 to 229
What about ASA?
HOW do you prove this?
Does thos work as a shortcut?
16. What about SAA?
HOW does this work?
Does it prove triangles are congruent?
17. What about AAA?
We already talked about this.
WHY would 2 triangles not be congruent in this case?
18. 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!
19. Let's see how this works......pg. 222 # 1-13 odd
AND pg. 227 # 1-15 odd