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Geometry 7-4 Complete Lesson: Similarity in Right Triangles

Last updated about 4 years ago

27 questions

Note from the author:

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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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Question 1

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Solve It! Draw a diagonal of a rectangular piece of paper to form two right triangles. In one triangle, draw the altitude from the right angle to the hypotenuse. Number the angles as shown. Cut out the three triangles.

How can you match the angles of the triangles to show that all three triangles are similar?

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Question 7

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Problem 4 Got It? From point D, the robot must turn right and move to point B to put the bottle in the recycling bin. How many inches does the robot travel from D to B? Enter only the number.

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Question 15

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Error Analysis: A classmate wrote an incorrect proportion to find x. Explain and correct the error.

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Question 17

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Review Lesson 7-3: How do you know the triangles are similar?

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Question 18

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Review Lesson 6-2: Algebra: Find the value of x in ▱RSTV.

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Question 20

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Question 23

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Question 25

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Question 26

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Use Your Vocabulary: Complete the items on the canvas.

Question 27

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Reflection: Math Success

Question 2

2.

Solve It! Explain how you know the matching angles are congruent.

Question 3

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Question 4

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Question 5

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Question 6

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

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Question 13

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Question 14

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Question 16

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Question 19

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Review Lesson 6-2: Algebra: Find the value of y in ▱RSTV.

Review Lesson 7-2: Enter only the value of x.

Question 21

21.

Review Lesson 7-2: Enter only the value of x.

Question 22

22.

Review Lesson 7-2: Enter only the value of x. Round to the nearest hundredth.

Vocabulary Review: Complete each sentence with the correct word from the list.

parallel

perpendicular

congruent

isosceles

The altitude of a triangle is a segment from a vertex to the opposite side that is __?__ to the opposite side.

In an isosceles triangle, the altitude to the base divides the triangle into two __?__ triangles.

Question 24

24.

Use Your Vocabulary: Which proportion can you use to find the geometric mean of 5 and 15?

Problem 1 Got It?

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B

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D

Problem 1 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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What is the geometeric mean of 4 and 9?

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B

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 What is the geometric mean of 4 and 12? 

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B

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Vocabulary: Classify the segments of △RST. Sides may have more than one classification.

segment RP

segment RT

segment TP

The hypotenuse

The segments of the hypotenuse

The segment of the hypotenuse adjacent to leg ST

Review Lesson 7-3: Write a similarity statement for the two triangles.

△RMN ~ △PNQ

△RMN ~ △NQP

△NMR ~ △QPN

△NRM ~ △NPQ

Vocabulary Review: Identify the altitude of △ABC.