Geometry 8-2 Complete Lesson: Special Right 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 8-2 Complete Lesson: Special Right Triangles

Geometry 8-2 Complete Lesson: Special Right Triangles

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 5 Got It?

Error Analysis: Sandra drew the triangle below. Rika said that the labeled lengths are not possible. With which student do you agree? Explain.

Reasoning: A test question asks you to find two side lengths of a 45-45-90 triangle. You know that the length of one leg is 6, but you forgot the special formula for 45-45-90 triangles. Explain how you can still determind the other side lengths. What are the other side lengths?

Review Lesson 8-1: A right triangle has a 6-in. hypotenuse and a 5-in. leg. Find the length of the other leg in simplest radical form.

Review Lesson 7-1: Solve each proportion.Match the solutions on the left with the proportions on the right. Solutions are written as reduced fractions or decimals rounded to the nearest hundredth. Not all solutions will be used. Not all proportions will be solved.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.If m∠A = 40 and m∠B = 50, the angles are __?__.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.If m∠A = 30 and m∠B = 60, ∠B is the __?__ of ∠A.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.∠P and ∠Q are __?__ because the sum of their measures is 90.

Enter only a number.

Enter only a number.

Enter only a number.

Use Your Vovabulary: Select a pair of complementary angles from the angle measurements below.

Theorem 8-5: Fill in the three blanks on the canvas to demonstrate your understanding of the 45-45-90 triangle theorem.

Theorem 8-6: Fill in the two blanks on the canvas to demonstrate your understanding of the 30-60-90 triangle theorem.

Reflection: Math Success

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 5 Got It?

Error Analysis: Sandra drew the triangle below. Rika said that the labeled lengths are not possible. With which student do you agree? Explain.

Reasoning: A test question asks you to find two side lengths of a 45-45-90 triangle. You know that the length of one leg is 6, but you forgot the special formula for 45-45-90 triangles. Explain how you can still determind the other side lengths. What are the other side lengths?

Review Lesson 8-1: A right triangle has a 6-in. hypotenuse and a 5-in. leg. Find the length of the other leg in simplest radical form.

Review Lesson 7-1: Solve each proportion.Match the solutions on the left with the proportions on the right. Solutions are written as reduced fractions or decimals rounded to the nearest hundredth. Not all solutions will be used. Not all proportions will be solved.

Vocabulary Review: Which segment is a diagonal of square ABCD?

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.If m∠A = 40 and m∠B = 50, the angles are __?__.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.If m∠A = 30 and m∠B = 60, ∠B is the __?__ of ∠A.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.∠P and ∠Q are __?__ because the sum of their measures is 90.

Enter only a number.

Enter only a number.

Enter only a number.

Use Your Vovabulary: Select a pair of complementary angles from the angle measurements below.

Theorem 8-5: Fill in the three blanks on the canvas to demonstrate your understanding of the 45-45-90 triangle theorem.

Theorem 8-6: Fill in the two blanks on the canvas to demonstrate your understanding of the 30-60-90 triangle theorem.

Reflection: Math Success

Vocabulary Review: Which segment is a diagonal of square ABCD?

Review Lesson 7-1: Solve each proportion.

Match the solutions on the left with the proportions on the right. Solutions are written as reduced fractions or decimals rounded to the nearest hundredth. Not all solutions will be used. Not all proportions will be solved.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.

If m∠A = 40 and m∠B = 50, the angles are ?.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.

If m∠A = 30 and m∠B = 60, ∠B is the ? of ∠A.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.

∠P and ∠Q are ? because the sum of their measures is 90.

Review Lesson 7-1: Solve each proportion.

Match the solutions on the left with the proportions on the right. Solutions are written as reduced fractions or decimals rounded to the nearest hundredth. Not all solutions will be used. Not all proportions will be solved.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.

If m∠A = 40 and m∠B = 50, the angles are ?.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.

If m∠A = 30 and m∠B = 60, ∠B is the ? of ∠A.

Use Your Vocabulary: Complete the statement with the word complement or complementary. Write only the word.

∠P and ∠Q are ? because the sum of their measures is 90.