Illustrative Mathematics - Geometry - Unit 5 - Lesson 4

The area of a circle of radius 1 is \pi units squared. Use scaling to explain why the area of a circle of radius r is \pi r^{2} units squared.

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation.

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

Select all figures for which at least one cross section is a circle.

• triangular pyramid
• square pyramid
• rectangular prism
• cube
• cone

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

If the two-dimensional figures are rotated around the vertical axes of rotation shown, what solids are formed?

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

Tyler and Jada wish to find the value of x, the length of side BC in this triangle. Tyler decides to set up the equation tan(56)=\frac{8}{x}. Jada says she prefers an equation that has x in the numerator. What is an equation she could use instead?

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

Triangles ACD and BCD are isosceles. Angle DBC has a measure of 110 degrees and angle BDA has a measure of 22 degrees. Find the measure of angle BAC.

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d