Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and...
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![Page 1: Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and only if : one can be mapped onto the other by one or.](https://reader036.fdocuments.us/reader036/viewer/2022062421/56649cee5503460f949bc5e4/html5/thumbnails/1.jpg)
Objective: discover conditions to prove triangles are congruent.
Two figures are congruent if and only if :one can be mapped onto the other by one or more rigid transformations.
Warm up1. Are the two triangles congruent? Justify your answer.
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(1) transformation
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(2) transformation
![Page 4: Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and only if : one can be mapped onto the other by one or.](https://reader036.fdocuments.us/reader036/viewer/2022062421/56649cee5503460f949bc5e4/html5/thumbnails/4.jpg)
Congruent triangles
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Congruence Shortcuts?
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Gizmo: Proving Triangles Congruentwww.explorelearning.com2. Determine which conditions guarantee congruency of
triangles.AAA, SSS, SS, SAS, SSA, ASA, SAA
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Congruent triangle conjectures• SSS (three sides are congruent)• SAS (two sides and the included angle)
• ASA (two angles and the included side)
• AAS (two angles and the non-included side)
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Example 1
Are triangle RQP and triangle VTS congruent? Justify your answer.
![Page 9: Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and only if : one can be mapped onto the other by one or.](https://reader036.fdocuments.us/reader036/viewer/2022062421/56649cee5503460f949bc5e4/html5/thumbnails/9.jpg)
Example 2Determine which triangles are congruent. Name the congruence conjecture that justify your answer.
a.
b.
![Page 10: Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and only if : one can be mapped onto the other by one or.](https://reader036.fdocuments.us/reader036/viewer/2022062421/56649cee5503460f949bc5e4/html5/thumbnails/10.jpg)
c.
d.
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Example 3
![Page 12: Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and only if : one can be mapped onto the other by one or.](https://reader036.fdocuments.us/reader036/viewer/2022062421/56649cee5503460f949bc5e4/html5/thumbnails/12.jpg)
ClassworkPg 224 #4-9,12,13,18,19
Pg #229 #4-12,14,15