Download 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Trigonometric functions wikipedia , lookup

Euler angles wikipedia , lookup

History of trigonometry wikipedia , lookup

Triangle wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Integer triangle wikipedia , lookup

Euclidean geometry wikipedia , lookup

Transcript
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
Friday, October 7, 2016
Geometry, Period 1
Lesson Overview:
• Warm Up Exercise
• AgileMind Topic 9: Congruent Triangle Postulates
> Corresponding Parts of Congruent Triangles
1
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
Warm Up
R, P, Q, S, T
They are rigid transformations of
triangle ABC
Their angles have the same measure
2
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
Write a formal definition of congruent triangles.
Two triangles are congruent if and only if each pair of corresponding sides and each pair of corresponding angles is congruent
3
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
How many pairs of congruent angles and sides must you show in order to prove two triangles congruent by the definition of congruent triangles?
3 pairs of congruent sides
3 pairs of congruent angles
...but we can find a combination of less than 6 items to show
congruence **
4
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
5
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
NO
NO
NO
NO
NO
6
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
7
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
8
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
9
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
ASS theorem ­­ doesn't work; it does not guarantee a congruence
10
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
if DO is congruent to PJ,
then we have congruent triangles by SSS
if <DJO is congruent to <POJ
then we have congruent triangles by SAS
11
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
9. If two angles of one triangle are congruent to two angles of another triangle, what must be true about the third angles of the triangles? How do you know?
The third angles are congruent to each other and this comes to us
from the Triangle Sum Theorem. If the two angles of each triangle
are x and y, then the third angle should measure 180-(x+y).
12
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
13
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
14
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
15
100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook
October 07, 2016
Homework:
AMT9 Day1 Corresponding Parts of Congruent Triangles Packet
AMT9 Quiz on Wednesday 10.12.16
16