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Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8

### New York State Common Core Math Grade 8, Module 3, Lesson 11

### Lesson 11 Student Outcomes

### Lesson 11 Summary

### NYS Math Module 3 Grade 8 Lesson 11

Exercises

1. In the diagram below, you have △ ABC and △ AB'C'.

Use this information to answer parts (a)–(d).

a. Based on the information given, is △ ABC ∼ △ AB'C'? Explain.

b. Assume line BC is parallel to line B'C'. With this information, can you say that △ ABC ∼ △ AB'C'. Explain.

c. Given that △ ABC ∼ △ AB'C' determine the length of AC'.

d. Given that △ ABC ∼ △ AB'C' determine the length of AB.

2. In the diagram below, you have △ ABC and △ A'B'C'.

Use this information to answer parts (a)–(c).

a. Based on the information given, is △ ABC ∼ △ A'B'C'? Explain.

b. Given that △ ABC ∼ △ A'B'C' determine the length of A'C'.

d. Given that △ ABC ∼ △ A'B'C' determine the length of BC.

3. In the diagram below, you have △ ABC and △ A'B'C'. Use this information to answer the question below. Based on the information given, is △ ABC ∼ △ A'B'C'?

Explain.

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 to present informal arguments as to whether or not two triangles are similar and how to find lengths of corresponding sides of similar triangles.

Download Worksheets for Grade 8, Module 3, Lesson 11

• Students present informal arguments as to whether or not two triangles are similar.

• Students practice finding lengths of corresponding sides of similar triangles.

• Given just one pair of corresponding angles of a triangle as equal, use the side lengths along the given angle to
determine if triangles are in fact similar.

• Given similar triangles, use the fact that ratios of corresponding sides are equal to find any missing measurements.

Classwork

Example 1 & 2

Given the information provided, is △ ABC ∼ △ DEF?

Example 3

Given that △ ABC ∼ △ AB'C', could we determine the length of AB'?

Example 4

If we suppose XY is parallel to X'Y', can we use the information provided to determine if △ OXY ∼ △ OX'Y'?

Explain.

Example 5

Given the information provided, is △ OPQ ∼ △ Op'Q'?

Exercises

1. In the diagram below, you have △ ABC and △ AB'C'.

Use this information to answer parts (a)–(d).

a. Based on the information given, is △ ABC ∼ △ AB'C'? Explain.

b. Assume line BC is parallel to line B'C'. With this information, can you say that △ ABC ∼ △ AB'C'. Explain.

c. Given that △ ABC ∼ △ AB'C' determine the length of AC'.

d. Given that △ ABC ∼ △ AB'C' determine the length of AB.

2. In the diagram below, you have △ ABC and △ A'B'C'.

Use this information to answer parts (a)–(c).

a. Based on the information given, is △ ABC ∼ △ A'B'C'? Explain.

b. Given that △ ABC ∼ △ A'B'C' determine the length of A'C'.

d. Given that △ ABC ∼ △ A'B'C' determine the length of BC.

3. In the diagram below, you have △ ABC and △ A'B'C'. Use this information to answer the question below. Based on the information given, is △ ABC ∼ △ A'B'C'?

Explain.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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.

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