Yr 2 w-up 9/16 – copy the pictures For # 1-5 state which triangles are congruent and why 1. A B CD A B C D A B D C 3. AD bisects < CAB D is the midpoint.

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Presentation transcript:

Yr 2 w-up 9/16 – copy the pictures For # 1-5 state which triangles are congruent and why 1. A B CD A B C D A B D C 3. AD bisects < CAB D is the midpoint of CB A B C D E F A B C D E F

Lesson 4.5 More Congruent Triangle Shortcuts

Is SSA a congruence shortcut? Lets investigate… 1. Draw line segment AB = 4cm on your notes AB 2. Draw <A = 20 o (line segment can be any length 3. On a piece of patty paper draw line segment CB=3cm 4. Line up vertices B and see how many different triangles you can make Conclusion: SSA is NOT a congruence shortcut because you can form more than one triangle. 2

Is SAA a congruency shortcut? Lets investigate… 1. Copy the triangles on your notes. B Z X Y C A Mark what you know A A A A S S  By third angle conjecture < C must be ____ to < Z  Now this is like what shortcut? ______  So SAA is a shortcut! ASA

SAA – If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

Is AAA a congruency shortcut? Draw an isosceles right triangle. (your angle will be )  Compare your triangle with your group members  Are they all the same?? NO 45 AAA is not a congruency shortcut.

Lets try some examples: WS 4.5 notes handout Homework: 4.5 pg # 1-5, 7-11 If the triangles are not congruent write “can not be determined”