Geometry 2-6 Guided Practice: Proving Angles Congruent

By Matt Richardson
Last updated about 3 years ago
13 Questions

Solve It! A quilter wants to duplicate this quilt, but knows the measure of only two angles.
What are the measures of angles 1, 2, 3, and 4? How do you know?

Take Note: Define theorem.

Take Note: Summarize the Vertical Angles Theorem. You may use the canvas to help illustrate your explanation.

Problem 1 Got It?
What is the value of x?

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 2 Got It? Reasoning: How can you prove ∠1 ≅ ∠2 ≅ ∠3 ≅ ∠4 without using the Vertical Angles Theorem? Explain in the response field.

You may use the canvas to help illustrate your explanation.

Take Note: Describe paragraph proofs. How are they similar to two-column proofs? How are they different?

Take Note: Summarize the Congruent Supplements Theorem. You may use the canvas to help illustrate your explanation.

Problem 3 Got It? Write a paragraph proof for the Vertical Angles Theorem in the response field.

You may use the canvas to construct the related two-column proof.

Take Note: Summarize the Congruent Complements Theorem. You may use the canvas to help illustrate your explanation.

Take Note: SummarizeTheorem 2-4, which states: All right angles are congruent. You may use the canvas to help illustrate your explanation.

Take Note: SummarizeTheorem 2-5, which states: If two angles are congruent and supplementary, then each is a right angle. You may use the canvas to help illustrate your explanation.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?