1.3 Complete Lesson: Properties of Parallel Lines

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Take Note: Summarize Postulate 3-1: The Same-Side Interior Angles Postulate. You may use the canvas to help illustrate your description.

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Problem 1 Got It? If you know the measure of one of the angles, can you always find the measures of all 8 angles when two parallel lines are cut by a transversal? Explain.

You may use the canvas to help illustrate your explanation.

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Take Note: Summarize Theorem 3-1: The Alternate Interior Angles Theorem. You may use the canvas to help illustrate your description.

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Take Note: Summarize Theorem 3-2: The Corresponding Angles Theorem. You may use the canvas to help illustrate your description.

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Problem 2 Got It? Complete the proof on the canvas. Use a color other than black for your work.

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Take Note: Summarize Theorem 3-3: The Alternate Exterior Angles Theorem. You may use the canvas to help illustrate your description.

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

10

Problem 4 Got It?

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Problem 4 Got It?

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Compare and Contrast: How are the Alternate Interior Angles Theorem and the Alternate Exterior Angles Theorem Alike? How are they different?

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In Problem 2, you proved that angles 1 and 8, in the diagram below, are supplementary.

What is a good name for this pair of angles? Explain.

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Vocabulary Review: Classify each angle as acute, obtuse, or right.

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.

Acute
Obtuse
Right

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Use Your Vocabulary: Use the diagram to complete each sentence on the right using the correct item(s) from the left.

A
∠CAB
∠CBA
C
∠BAC
B
∠1

The vertex of ∠ABC is __?__.
Two other names for ∠ABC are __?__ and __?__. (order does not matter)

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1.3 Complete Lesson: Properties of Parallel Lines

Take Note: Summarize Postulate 3-1: The Same-Side Interior Angles Postulate. You may use the canvas to help illustrate your description.

Problem 1 Got It? If you know the measure of one of the angles, can you always find the measures of all 8 angles when two parallel lines are cut by a transversal? Explain.

You may use the canvas to help illustrate your explanation.

Take Note: Summarize Theorem 3-1: The Alternate Interior Angles Theorem. You may use the canvas to help illustrate your description.

Take Note: Summarize Theorem 3-2: The Corresponding Angles Theorem. You may use the canvas to help illustrate your description.

Problem 2 Got It? Complete the proof on the canvas. Use a color other than black for your work.

Take Note: Summarize Theorem 3-3: The Alternate Exterior Angles Theorem. You may use the canvas to help illustrate your description.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Compare and Contrast: How are the Alternate Interior Angles Theorem and the Alternate Exterior Angles Theorem Alike? How are they different?

In Problem 2, you proved that angles 1 and 8, in the diagram below, are supplementary.

What is a good name for this pair of angles? Explain.

Vocabulary Review: Classify each angle as acute, obtuse, or right.

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.

Use Your Vocabulary: Use the diagram to complete each sentence on the right using the correct item(s) from the left.

Reflection: Math Success

Solve It! Look at the map of streets in Clearwater, Florida. Nicholson Street and Cedar Street are parallel. Which of these pairs of angles appear to be congruent? Select all that apply.

Take Note: Summarize Postulate 3-1: The Same-Side Interior Angles Postulate. You may use the canvas to help illustrate your description.

Problem 1 Got It? If you know the measure of one of the angles, can you always find the measures of all 8 angles when two parallel lines are cut by a transversal? Explain.

You may use the canvas to help illustrate your explanation.

Take Note: Summarize Theorem 3-1: The Alternate Interior Angles Theorem. You may use the canvas to help illustrate your description.

Take Note: Summarize Theorem 3-2: The Corresponding Angles Theorem. You may use the canvas to help illustrate your description.

Problem 2 Got It? Complete the proof on the canvas. Use a color other than black for your work.

Take Note: Summarize Theorem 3-3: The Alternate Exterior Angles Theorem. You may use the canvas to help illustrate your description.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Compare and Contrast: How are the Alternate Interior Angles Theorem and the Alternate Exterior Angles Theorem Alike? How are they different?

In Problem 2, you proved that angles 1 and 8, in the diagram below, are supplementary.

What is a good name for this pair of angles? Explain.

Vocabulary Review: Classify each angle as acute, obtuse, or right.

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.

Use Your Vocabulary: Use the diagram to complete each sentence on the right using the correct item(s) from the left.

Reflection: Math Success

Solve It! Look at the map of streets in Clearwater, Florida. Nicholson Street and Cedar Street are parallel. Which of these pairs of angles appear to be congruent? Select all that apply.

1.3 Complete Lesson: Properties of Parallel Lines

1.3 Complete Lesson: Properties of Parallel Lines

Take Note: Summarize Postulate 3-1: The Same-Side Interior Angles Postulate. You may use the canvas to help illustrate your description.

Problem 1 Got It? If you know the measure of one of the angles, can you always find the measures of all 8 angles when two parallel lines are cut by a transversal? Explain.You may use the canvas to help illustrate your explanation.

Take Note: Summarize Theorem 3-1: The Alternate Interior Angles Theorem. You may use the canvas to help illustrate your description.

Take Note: Summarize Theorem 3-2: The Corresponding Angles Theorem. You may use the canvas to help illustrate your description.

Problem 2 Got It? Complete the proof on the canvas. Use a color other than black for your work.

Take Note: Summarize Theorem 3-3: The Alternate Exterior Angles Theorem. You may use the canvas to help illustrate your description.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Compare and Contrast: How are the Alternate Interior Angles Theorem and the Alternate Exterior Angles Theorem Alike? How are they different?

In Problem 2, you proved that angles 1 and 8, in the diagram below, are supplementary. What is a good name for this pair of angles? Explain.

Vocabulary Review: Classify each angle as acute, obtuse, or right. 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.

Use Your Vocabulary: Use the diagram to complete each sentence on the right using the correct item(s) from the left.

Reflection: Math Success

Solve It! Look at the map of streets in Clearwater, Florida. Nicholson Street and Cedar Street are parallel. Which of these pairs of angles appear to be congruent? Select all that apply.

Take Note: Summarize Postulate 3-1: The Same-Side Interior Angles Postulate. You may use the canvas to help illustrate your description.

Problem 1 Got It? If you know the measure of one of the angles, can you always find the measures of all 8 angles when two parallel lines are cut by a transversal? Explain.You may use the canvas to help illustrate your explanation.

Take Note: Summarize Theorem 3-1: The Alternate Interior Angles Theorem. You may use the canvas to help illustrate your description.

Take Note: Summarize Theorem 3-2: The Corresponding Angles Theorem. You may use the canvas to help illustrate your description.

Problem 2 Got It? Complete the proof on the canvas. Use a color other than black for your work.

Take Note: Summarize Theorem 3-3: The Alternate Exterior Angles Theorem. You may use the canvas to help illustrate your description.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Compare and Contrast: How are the Alternate Interior Angles Theorem and the Alternate Exterior Angles Theorem Alike? How are they different?

In Problem 2, you proved that angles 1 and 8, in the diagram below, are supplementary. What is a good name for this pair of angles? Explain.

Vocabulary Review: Classify each angle as acute, obtuse, or right. 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.

Use Your Vocabulary: Use the diagram to complete each sentence on the right using the correct item(s) from the left.

Reflection: Math Success

Solve It! Look at the map of streets in Clearwater, Florida. Nicholson Street and Cedar Street are parallel. Which of these pairs of angles appear to be congruent? Select all that apply.

Problem 1 Got It? If you know the measure of one of the angles, can you always find the measures of all 8 angles when two parallel lines are cut by a transversal? Explain.

You may use the canvas to help illustrate your explanation.

In Problem 2, you proved that angles 1 and 8, in the diagram below, are supplementary.

What is a good name for this pair of angles? Explain.

Vocabulary Review: Classify each angle as acute, obtuse, or right.

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.

Problem 1 Got It? If you know the measure of one of the angles, can you always find the measures of all 8 angles when two parallel lines are cut by a transversal? Explain.

You may use the canvas to help illustrate your explanation.

In Problem 2, you proved that angles 1 and 8, in the diagram below, are supplementary.

What is a good name for this pair of angles? Explain.

Vocabulary Review: Classify each angle as acute, obtuse, or right.

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.