Geometry 7-5 Complete Lesson: Proportions in Triangles

Last updated almost 4 years ago

26 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.

Geometry 7-5 Complete Lesson: Proportions in Triangles

Geometry 7-5 Complete Lesson: Proportions in Triangles

Solve It! An artist uses perspective to draw parallel lampposts along a city street, as shown in the diagram. What is the value of x? Enter only a number rounded to the nearest hundredth. Include a digit in the ones place, a 0 if necessary.

Solve It! Justify your response to the previous item.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Compare and Contrast: How is the Corollary to the Side-Splitter Theorem related to Theorem 6-7: If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal?

Error Analysis: A classmate says your can use the Side-Splitter Theorem to find both x and y in the diagram. Explain what is wrong with your classmate's statement.

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(0, 0), B(6, 0), C(0, -6)

Enter your response in this format: (-2, 5)

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(2, 5), B(-2, 5), C(-2, -1)

Enter your response in this format: (-2, 5)

Preview Lesson 8-1: Square the lengths. Match each length with its square.

Vocabulary Review: Complete the items on the canvas.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Reflection: Math Success

Solve It! An artist uses perspective to draw parallel lampposts along a city street, as shown in the diagram. What is the value of x? Enter only a number rounded to the nearest hundredth. Include a digit in the ones place, a 0 if necessary.

Solve It! Justify your response to the previous item.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Compare and Contrast: How is the Corollary to the Side-Splitter Theorem related to Theorem 6-7: If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal?

Error Analysis: A classmate says your can use the Side-Splitter Theorem to find both x and y in the diagram. Explain what is wrong with your classmate's statement.

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(0, 0), B(6, 0), C(0, -6)

Enter your response in this format: (-2, 5)

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(2, 5), B(-2, 5), C(-2, -1)

Enter your response in this format: (-2, 5)

Preview Lesson 8-1: Square the lengths. Match each length with its square.

Vocabulary Review: Complete the items on the canvas.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Reflection: Math Success

Geometry 7-5 Complete Lesson: Proportions in Triangles

Geometry 7-5 Complete Lesson: Proportions in Triangles

Solve It! An artist uses perspective to draw parallel lampposts along a city street, as shown in the diagram. What is the value of x? Enter only a number rounded to the nearest hundredth. Include a digit in the ones place, a 0 if necessary.

Solve It! Justify your response to the previous item.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Compare and Contrast: How is the Corollary to the Side-Splitter Theorem related to Theorem 6-7: If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal?

Error Analysis: A classmate says your can use the Side-Splitter Theorem to find both x and y in the diagram. Explain what is wrong with your classmate's statement.

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC. A(0, 0), B(6, 0), C(0, -6)Enter your response in this format: (-2, 5)

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC. A(2, 5), B(-2, 5), C(-2, -1) Enter your response in this format: (-2, 5)

Preview Lesson 8-1: Square the lengths. Match each length with its square.

Vocabulary Review: Complete the items on the canvas.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Reflection: Math Success

Solve It! An artist uses perspective to draw parallel lampposts along a city street, as shown in the diagram. What is the value of x? Enter only a number rounded to the nearest hundredth. Include a digit in the ones place, a 0 if necessary.

Solve It! Justify your response to the previous item.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Compare and Contrast: How is the Corollary to the Side-Splitter Theorem related to Theorem 6-7: If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal?

Error Analysis: A classmate says your can use the Side-Splitter Theorem to find both x and y in the diagram. Explain what is wrong with your classmate's statement.

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC. A(0, 0), B(6, 0), C(0, -6)Enter your response in this format: (-2, 5)

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC. A(2, 5), B(-2, 5), C(-2, -1) Enter your response in this format: (-2, 5)

Preview Lesson 8-1: Square the lengths. Match each length with its square.

Vocabulary Review: Complete the items on the canvas.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Enter only the word that completes the statement.

Reflection: Math Success

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(0, 0), B(6, 0), C(0, -6)

Enter your response in this format: (-2, 5)

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(2, 5), B(-2, 5), C(-2, -1)

Enter your response in this format: (-2, 5)

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(0, 0), B(6, 0), C(0, -6)

Enter your response in this format: (-2, 5)

Review Lesson 5-3: Find the center of the circle that you can circumscribe about △ABC.
A(2, 5), B(-2, 5), C(-2, -1)

Enter your response in this format: (-2, 5)