Geometry 4-3 Complete Lesson: Triangle Congruence by ASA and AAS

By Matt Richardson

Last updated almost 3 years ago

21 Questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

Solve It! Oh no! The school's photocopier is not working correctly (again!). The copies all have some ink missing. The two photocopies shown are of the same geometry worksheet. Which triangles are congruent?

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Take Note: Summarize The Angle-Side-Angle (ASA) Postulate. You may also use the canvas to illustrate your explanation.

Problem 1 Got It?

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Problem 2 Got It? Complete the proof on the canvas.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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Take Note: Summarize The Angle-Angle-Side (AAS) Theorem. You may also use the canvas to illustrate your explanation.

Problem 3 Got It? Complete the proof on the canvas.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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Problem 4 Got It? Are △PAR and △SIR congruent?

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Error Analysis: Your friend asks you for help on a geometry exercise. Shown is your friend's paper. What error did your friend make? Explain.

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Reasoning: Suppose ∠E ≅ ∠I and segment FE ≅ segment GI.

What else must you know in order to prove △FDE ≅ △GHI by ASA? by AAS?

You may use the canvas to show your work.

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Review Lesson 4-2: Would you use SSS or SAS to prove the triangles congruent?

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Review Lesson 4-2: Would you use SSS or SAS to prove the triangles congruent?

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Vocabulary Review: Fill in the blank. Enter only a number.

A triangle is a polygon with ? sides.

Vocabulary Review: Fill in the blank with one of the following words: obtuse, right, or scalene.

A triangle with a right angle is called a(n) ? triangle.

Enter only one word, no spaces.

Use Your Vocabulary: Use the diagram to match corresponding angles and segments below.

		segment YZ
		∠X
		segment XY
		∠Z
		segment XZ
		∠AY

Reflection: Math Success

G.SRT.5

Geometry 4-3 Complete Lesson: Triangle Congruence by ASA and AAS

Solve It! Oh no! The school's photocopier is not working correctly (again!). The copies all have some ink missing. The two photocopies shown are of the same geometry worksheet. Which triangles are congruent?

Take Note: Summarize The Angle-Side-Angle (ASA) Postulate. You may also use the canvas to illustrate your explanation.

Problem 1 Got It?

Problem 2 Got It? Complete the proof on the canvas.You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Take Note: Summarize The Angle-Angle-Side (AAS) Theorem. You may also use the canvas to illustrate your explanation.

Problem 3 Got It? Complete the proof on the canvas.You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Problem 4 Got It? Are △PAR and △SIR congruent?

Error Analysis: Your friend asks you for help on a geometry exercise. Shown is your friend's paper. What error did your friend make? Explain.

Reasoning: Suppose ∠E ≅ ∠I and segment FE ≅ segment GI. What else must you know in order to prove △FDE ≅ △GHI by ASA? by AAS?You may use the canvas to show your work.

Review Lesson 4-2: Would you use SSS or SAS to prove the triangles congruent?

Review Lesson 4-2: Would you use SSS or SAS to prove the triangles congruent?

Vocabulary Review: Fill in the blank. Enter only a number.A triangle is a polygon with __?__ sides.

Vocabulary Review: Fill in the blank with one of the following words: obtuse, right, or scalene.A triangle with a right angle is called a(n) __?__ triangle.Enter only one word, no spaces.

Use Your Vocabulary: Use the diagram to match corresponding angles and segments below.

Reflection: Math Success

Problem 2 Got It? Complete the proof on the canvas.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Problem 3 Got It? Complete the proof on the canvas.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Reasoning: Suppose ∠E ≅ ∠I and segment FE ≅ segment GI.

What else must you know in order to prove △FDE ≅ △GHI by ASA? by AAS?

You may use the canvas to show your work.

Vocabulary Review: Fill in the blank. Enter only a number.

A triangle is a polygon with ? sides.

Vocabulary Review: Fill in the blank with one of the following words: obtuse, right, or scalene.

A triangle with a right angle is called a(n) ? triangle.

Enter only one word, no spaces.