Illustrative Mathematics - Geometry - Unit 5 - Lesson 4
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Algebra I, Algebra II, Geometry, Math
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6 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
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.
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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
2.
OPEN ENDED QUESTION
3 mins • 1 pt
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.
Evaluate responses using AI:
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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
3.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
Select all figures for which at least one cross section is a circle.
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
4.
OPEN ENDED QUESTION
3 mins • 1 pt
If the two-dimensional figures are rotated around the vertical axes of rotation shown, what solids are formed?
Evaluate responses using AI:
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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
5.
OPEN ENDED QUESTION
3 mins • 1 pt
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?
Evaluate responses using AI:
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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
6.
OPEN ENDED QUESTION
3 mins • 1 pt
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.
Evaluate responses using AI:
OFF
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
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