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Laabri

Geometry 2-6 Guided Practice: Proving Angles Congruent

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Last updated over 4 years ago
13 Nsɛmmisa
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1.

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?

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2.

Take Note: Define theorem.

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3.

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

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4.

Problem 1 Got It?

What is the value of x?

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5.

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: 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.

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7.

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

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

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9.

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.

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10.

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

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11.

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

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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.

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13.

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