Geometry 8-2 Special Right Triangles

by Matthew Richardson

| 26 QuestionsNote 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.

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10 pts

Solve It! This map of part of a college campus shows a square "quad" area with walking paths. The distance from the dorm to the dining hall is 150 yd. Suppose you go from your dorm to the dining hall, to the science lab, to your dorm, to the student center, to the library, and finally back to your dorm. To the nearest tenth, how far do you walk? (Assume you always take the most direct route and stay on the paths.)

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10 pts

Problem 1 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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Problem 5 Got It?

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10 pts

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

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10 pts

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?

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10 pts

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.

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10 pts

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.

- x = 1.71
- x = 60/7
- x = 4.90
- x = 15/2
- x = 11/53

- Proportion A
- Proportion B
- Proportion C
- Proportion D

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10 pts

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

segment AB

segment AC

segment AD

segment BC

segment CD

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5 pts

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 __?__.

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5 pts

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.

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5 pts

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.

Use Your Vocabulary:

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5 pts

Enter only a number.

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5 pts

Enter only a number.

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5 pts

Enter only a number.

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10 pts

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

60

40

50

120

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10 pts

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

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10 pts

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

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10 pts

Reflection: Math Success

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