Common Core: High School - Geometry - Construct Inscribed Figures (Equilateral Triangles, Squares, Regular Hexagons): CCSS.Math.Content.HSG-CO.D.13

1

Line is perpendicular to line where both lines are the diameter of the circle. From this information triangle must be a(n) _______ triangle.

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2

Line is perpendicular to line where both lines are the diameter of the circle. From this information triangle must be a(n) _______ triangle.

Screen shot 2020 08 19 at 4.35.53 pm

3

True or False: The inscribed angle theorem states that the inscribed angle is half the measure of the intercepted arc.

4

True or False: The inscribed angle theorem states that the inscribed angle is half the measure of the intercepted arc.

5

What are the steps to inscribe a hexagon in a circle?

6

What are the steps to inscribe a hexagon in a circle?

7

Find the side lengths of the square inscribed in the triangle. The area of the entire triangle is 20.

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8

Find the side lengths of the square inscribed in the triangle. The area of the entire triangle is 20.

Screen shot 2020 08 20 at 8.31.59 am

9

Find the area of the inscribed square in terms of where is the radius of the circle.

10

Find the area of the inscribed square in terms of where is the radius of the circle.

Construct Inscribed Figures (Equilateral Triangles, Squares, Regular Hexagons): CCSS.Math.Content.HSG-CO.D.13