Unit 4, Lesson 3

Half an Equilateral Triangle

Geometry

Practice

Problem 1

Select all statements that are true about equilateral triangle .

Practice

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

Problem 2

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>

Problem 3

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

Problem 4

ForLesson 2: Half a Square

Find the lengths of the legs.

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

Problem 5

ForLesson 2: Half a Square

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

3 units
units
units
6 units

Problem 6

ForLesson 1: Angles and Steepness

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.

Problem 7

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

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>

Problem 8

ForLesson 13: Incorporating Rotations

Here is triangle . Match the description of the rotation with the image of under that rotation.

<p>Triangle P O G on an isometric grid. Side G O is located on a vertical grid line, and P is located horizontally to the right of G.</p>

<p>Triangle P prime O prime G prime on isometric grid.</p> — Image 1

<p>Triangle P prime O prime G prime. Side P prime O prime is vertical on the grid, with P prime below O prime. G prime is located down and to the right from O prime.</p> — Image 2

<p>Triangle P prime O prime G prime. Side P prime O prime is vertical on the grid, with O prime below P prime. G prime is located up and to the left from O prime.</p> — Image 3

<p>Triangle P prime O prime G prime. Side P prime O prime is on a slanted grid line with P prime located down and to the right from O prime. G prime is located up and to the right from O prime.</p> — Image 4

Rotate 60 degrees counterclockwise around .
Rotate 60 degrees clockwise around .

Rotate 120 degrees clockwise around .

Rotate 60 degrees clockwise around .

Image 1
Image 2
Image 3
Image 4

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Half an Equilateral Triangle

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8