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Unit 3, Lesson 3

Half an Equilateral Triangle

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Integrated Math 2

Practice

Problem 1

Student Task Statement

Select all statements that are true about equilateral triangle .

Angles and are 60 degrees.
Triangle is congruent to triangle .
Both and are 3 units long.

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Problem 2

Student Task Statement

Find the length of each leg.

<p>Triangle A B C. Angle C is labeled 30 degrees. Angle A is labeled 60 degrees. Angle B is marked with a right angle symbol. Side A C is labeled 10.</p>

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Problem 3

Student Task Statement

An equilateral triangle has a side length of 10 units. What is its area?

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Problem 4

ForLesson 2: Half a Square

Student Task Statement

Find the lengths of the legs.

<p>Right triangle. Hypotenuse is 10. One of the non-right angles is labeled 45 degrees.</p>

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Problem 5

ForLesson 2: Half a Square

Student Task Statement

A square has side length 3 units. What is the length of the diagonal?

3 units
units
units
6 units

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Problem 6

ForLesson 1: Angles and Steepness

Student Task Statement

A step has a height of 5 inches. A ramp starts 4 feet away from the base of the step, making a angle with the ground. What can you say about the angle the ramp would make with the ground if the ramp started farther away from the step?

The angle would decrease.
The angle would remain the same.
The angle would increase.
We cannot determine anything about the angle.

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Problem 7

ForLesson 11: Splitting Triangle Sides with Dilation (Part 2)

Student Task Statement

Segment is parallel to segment .

What is the length of segment ?
What is the length of segment ?

<p>Triangle A prime B prime C is set inside triangle A B C.</p>

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Practice

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Half an Equilateral Triangle

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Lesson 3 Resources