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1

C is a circle with radius r. Which of the following is true? Select all that apply.

The circumference of C is 2\pi r.

One quarter of the circle has length \frac{\pi r}{4}.

The diameter of C is 2r.

The circumference of C is \pi r.

One quarter of the circle has length \frac{\pi r}{2}.

F.TF.1

F.TF.2

+4

1

The table shows an angle measure in radians and the amount of rotation about a circle corresponding to the angle. For example, 2\pi radians corresponds to 1 full rotation. Complete the table.

F.TF.1

F.TF.2

+4

1

A wheel has a radius of 1 foot. After the wheel has traveled a certain distance in the counterclockwise direction, the point P has returned to its original position. How many feet could the wheel have traveled? Select all that apply.

F.TF.1

F.TF.2

+4

1

The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the x-axis? Where does the circle intersect the y-axis? Explain how you know.

F.TF.1

F.TF.2

+4

1

Triangles ABC and DEF are similar. Explain why \tan(A)=\tan(D).

F.TF.1

F.TF.2

+4

This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 3. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/3/preparation.html ; accessed 29/July/2021.

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Illustrative Math - Algebra 2 - Unit 6 -Lesson 3

Illustrative Math - Algebra 2 - Unit 6 -Lesson 3

C is a circle with radius r. Which of the following is true? Select all that apply.

The table shows an angle measure in radians and the amount of rotation about a circle corresponding to the angle. For example, 2\pi radians corresponds to 1 full rotation. Complete the table.

A wheel has a radius of 1 foot. After the wheel has traveled a certain distance in the counterclockwise direction, the point P has returned to its original position. How many feet could the wheel have traveled? Select all that apply.

The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the x-axis? Where does the circle intersect the y-axis? Explain how you know.

Triangles ABC and DEF are similar. Explain why \tan(A)=\tan(D).

C is a circle with radius r. Which of the following is true? Select all that apply.

The table shows an angle measure in radians and the amount of rotation about a circle corresponding to the angle. For example, 2\pi radians corresponds to 1 full rotation. Complete the table.

A wheel has a radius of 1 foot. After the wheel has traveled a certain distance in the counterclockwise direction, the point P has returned to its original position. How many feet could the wheel have traveled? Select all that apply.

The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the x-axis? Where does the circle intersect the y-axis? Explain how you know.

Triangles ABC and DEF are similar. Explain why \tan(A)=\tan(D).