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Geometry 4-4 Complete Lesson: Using Corresponding Parts of Congruent Triangles

By Matt Richardson
Last updated almost 3 years ago
18 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! Is △ABC congruent to △GHI?

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How do you know? You may also use the canvas to help illustrate your thinking.

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Take Note: Summarize CPCTC - Corresponding Parts of Congruent Triangles are Congruent.

Problem 1 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 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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Problem 2 Got It? Reasoning: If the landmark were not at sea level, would the method in Problem 2 work? Explain. You may also use the canvas to help illustrate your explanation.

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Reasoning: How does the fact that corresponding parts of congruent triangles are congruent relate to the definition of congruent triangles?

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Error Analysis: Find and correct the error(s) in the proof. You may use both the response field and the canvas.

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Review Lesson 4-3: Name the postulate or theorem you can use to prove the triangles congruent.

Review Lesson 4-3: Name the postulate or theorem you can use to prove the triangles congruent.

Review Lesson 3-5: What is the side opposite ∠ABC?

Review Lesson 3-5: What is the angle opposite side AB?

Review Lesson 3-5: Find the value of x.
Enter only a number.

Vocabulary Review: Respond to each item on the right with an item from the left.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

  • similar
  • congruent
  • equal to
  • greater than
  • less than
  • a=a
  • 3(x+2)=3x+6
  • 5+a=5+a
  • \angle{ABC} \cong \angle{ABC}
  • \angle{47} \cong \angle{47}
  • The Reflexive Property of Congruence states that any geometric figures is __?__ to itself.
  • The Reflexive Property of Equality states that any quantity is __?__ itself.
  • These two expressions illustrate the Reflexive Property of Equality.
  • These two expressions illustrate the Reflexive Property of Congruence.

Use Your Vocabulary: Complete each statement with proof or prove.

  • prove
  • proof
  • In geometry, a __?__ uses definitions, postulates, and theorems to prove theorems.
  • No one can __?__ how our universe started.
  • He can __?__ when he bought the computer using his receipt.

Reflection: Math Success

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