PSA2RMZ - Classwork---Geometry, M1, Lesson 22 (G.CO.B.7, G.CO.B.8)
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Given: Triangles with a pair of corresponding sides of equal length and a pair of included angles of equal measure. Sketch and label three phases of the sequence of rigid motions that prove the two triangles to be congruent.

 Draw your sketch on paper, take a picture, and upload it using the image upload icon 

If you do not have the ability to upload an image of your work, type "Sketch is on paper." 

 

 Modified from EngageNY ©Great Minds Disclaimer

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Part A)

Given: π‘š∠𝐿𝑁𝑀 = π‘š∠𝐿𝑁𝑂, 𝑀𝑁 = 𝑂𝑁

Do β–³ 𝐿𝑁𝑀 and β–³ 𝐿𝑁𝑂 meet the SAS criteria?

 

 

 

Modified from EngageNY ©Great Minds Disclaimer

Select one:
Part B)

Describe the rigid motion(s) that would map one triangle onto the other.

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Part A)

Given: π‘š∠𝐻𝐺𝐼 = π‘š∠𝐽𝐼𝐺, 𝐻𝐺 = 𝐽𝐼

Do β–³ 𝐻𝐺𝐼 and β–³ 𝐽𝐼𝐺 meet the SAS criteria?

 

 

 

Modified from EngageNY ©Great Minds Disclaimer

Select one:
Part B)

Describe the rigid motion(s) that would map one triangle onto the other.

Type your answer below:
Part C)

Is it true that we could also have proved ΔHGI and ΔJIG meet the SAS criteria if we had been given that ∠HGI ≅ ∠JIG and HG ≅ JI?

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