Presentation is loading. Please wait.

Presentation is loading. Please wait.

Week 10 day 2 6 Terrence designed a patio based on the diagram. If AB║DC and the measure of / ADE = 108°, what is the measure of /BAD in degrees? AB CDE.

Similar presentations


Presentation on theme: "Week 10 day 2 6 Terrence designed a patio based on the diagram. If AB║DC and the measure of / ADE = 108°, what is the measure of /BAD in degrees? AB CDE."— Presentation transcript:

1 Week 10 day 2 6 Terrence designed a patio based on the diagram. If AB║DC and the measure of / ADE = 108°, what is the measure of /BAD in degrees? AB CDE Get out your homework from last night!!!

2 4.3 Triangle Congruence by ASA and AAS You will construct and justify statement about triangles using Angle Side Angle and Angle Angle Side Pardekooper

3 If three sides of a triangle are congruent to three sides of another triangle, then the triangles are congruent. Quick review of yesterday Side Side Side (SSS) Postulate A B C D E F ABCDEF

4 If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. Side Angle Side (SAS) Postulate A B C D E F ABCDEF

5 If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Lets look at some postulates Angle Side Angle (ASA) Postulate ABCDEF A B C D E F

6 If two angles and a nonincluded side of a triangle are congruent to two angles and a nonincluded side of another triangle, then the two triangles are congruent. Just one more postulate Angle Angle Side (AAS) Postulate ABCDEF D A B C E F

7 Are the following congruent ? Yes SAS No Yes AAS Yes ASA

8 1. XQ  TR, XR bisects  QT Now, its time for a proof. Given: XQTR, XRbisects QT Prove: XMQRMT StatementReason 1. Given 2. Def. of bisects 2. TM  QM 3.  XMQ  RMT 3. Vertical  ’s are  M T X Q R 4. Alternate interior  ’s are  4.  XQM  RTM 5.  XMQ  RMT 5. ASA

9 Which two are congruent and why ? P QR S T U W X Y  RPQ  UTS ASA

10 Homework


Download ppt "Week 10 day 2 6 Terrence designed a patio based on the diagram. If AB║DC and the measure of / ADE = 108°, what is the measure of /BAD in degrees? AB CDE."

Similar presentations


Ads by Google