Illustrative Mathematics - Geometry - Unit 7 - Lesson 12 - Formative Library | Library

1

Match each diagram showing a sector with the measure of its central angle in radians.

Draggable item		Corresponding Item
diagram C		\frac{3\pi}{2}
diagram B		\pi
diagram A		\frac{\pi}{3}
diagram E		\frac{\pi}{2}
diagram D		2\pi
diagram F		\frac{2\pi}{3}

1

In the circle, sketch a central angle that measures \frac{2\pi}{3} radians.

1

Angle AOC has a measure of \frac{5\pi}{6} radians. The length of arc AB is 2\pi units and the radius is 12 units.
What is the area of sector BOC?

1

Lin thinks that the central angle in circle A is congruent to the central angle in circle B.
Do you agree with Lin? Show or explain your reasoning.

1

Match each arc length and radius with the measure of the central angle that defines the arc.

Draggable item		Corresponding Item
arc length 9\pi cm, radius 12 cm		angle: 30 degrees
arc length 5\pi cm, radius 5 cm		angle: 72 degrees
arc length 4\pi cm, radius 10 cm		angle: 135 degrees
arc length 3\pi cm, radius 18 cm		angle: 180 degrees

1

Quadrilateral ABCD is shown with the given angle measures.
Select all true statements.

This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/12/preparation.html ; accessed 29/July/2021.

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Illustrative Mathematics - Geometry - Unit 7 - Lesson 12

Illustrative Mathematics - Geometry - Unit 7 - Lesson 12

Match each diagram showing a sector with the measure of its central angle in radians.

In the circle, sketch a central angle that measures \frac{2\pi}{3} radians.

Angle AOC has a measure of \frac{5\pi}{6} radians. The length of arc AB is 2\pi units and the radius is 12 units. What is the area of sector BOC?

Lin thinks that the central angle in circle A is congruent to the central angle in circle B. Do you agree with Lin? Show or explain your reasoning.

Match each arc length and radius with the measure of the central angle that defines the arc.

Quadrilateral ABCD is shown with the given angle measures. Select all true statements.

Match each diagram showing a sector with the measure of its central angle in radians.

In the circle, sketch a central angle that measures \frac{2\pi}{3} radians.

Angle AOC has a measure of \frac{5\pi}{6} radians. The length of arc AB is 2\pi units and the radius is 12 units. What is the area of sector BOC?

Lin thinks that the central angle in circle A is congruent to the central angle in circle B. Do you agree with Lin? Show or explain your reasoning.

Match each arc length and radius with the measure of the central angle that defines the arc.

Quadrilateral ABCD is shown with the given angle measures. Select all true statements.

Angle AOC has a measure of \frac{5\pi}{6} radians. The length of arc AB is 2\pi units and the radius is 12 units.
What is the area of sector BOC?

Lin thinks that the central angle in circle A is congruent to the central angle in circle B.
Do you agree with Lin? Show or explain your reasoning.

Quadrilateral ABCD is shown with the given angle measures.
Select all true statements.

Angle AOC has a measure of \frac{5\pi}{6} radians. The length of arc AB is 2\pi units and the radius is 12 units.
What is the area of sector BOC?

Lin thinks that the central angle in circle A is congruent to the central angle in circle B.
Do you agree with Lin? Show or explain your reasoning.

Quadrilateral ABCD is shown with the given angle measures.
Select all true statements.