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Lesson Plans and Worksheets for Grade 8

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More Lessons for Grade 8

Common Core For Grade 8

Examples, videos and solutions to help Grade 8 students learn the properties related to the Fundamental Theorem of Similarity (FTS).

### New York State Common Core Math Grade 8, Module 3, Lesson 4

### Lesson 4 Outcome

### Lesson 4 Summary

### NYS Math Module 3 Grade 8 Lesson 4

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8

Examples, videos and solutions to help Grade 8 students learn the properties related to the Fundamental Theorem of Similarity (FTS).

Download Worksheets for Grade 8, Module 3, Lesson 4

• Students experimentally verify the properties related to the Fundamental Theorem of Similarity (FTS).

Theorem: Given a dilation with center 0 and scale factor r, then for any two points P and Q in the plane so that 0, P, and Q are not collinear, the lines PQ and P'Q' are parallel, where P' = dilation(P) and Q' = dilation(Q), and furthermore, |P'Q'| = r|PQ|.

Classwork

Discussion

Exercise

1. In the diagram below, points R and S have been dilated from center 0, by a scale factor of r = 3.

a. If the length of |OR| = 3 cm, what is the length of |OR'|

b. If the length of |OS| = 3.5 cm, what is the length of |OS'|

c. Connect the point R to the point S and the point R' to the point S'. What do you know about lines RS and R'S'?

d. What is the relationship between the length of RS and the length of R'S'?

e. Identify pairs of angles that are equal in measure. How do you know they are equal?

Problem Set Sample Solutions

Students verify that the Fundamental Theorem of Similarity holds true when the scale factor is 0 < r < 1.

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