Warm-Up 1)Solve for x 2)Solve for x 142° (x-11)° 81° (9x)°

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Presentation transcript:

Warm-Up 1)Solve for x 2)Solve for x 142° (x-11)° 81° (9x)°

Geometric Constructions Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson.

You can construct a regular polygon inside of a circle if the number of sides the polygon has is a multiple of four. Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson.

Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson. To do this follow the steps below: 1)Draw a segment.

Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson. 2)Using your compass draw a circle that intersects the segment 2 times. (This means that the segment is a diameter of the circle.)

Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson. 3)Using the points where the segment and circle intersect as the endpoints of the segment, construct a perpendicular bisector (This is the second diameter).

Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson. 4)Connecting the points where the diameters intersect the circle would give you a square.

Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson. To make an octagon: To make an octagon, bisects each of the four quadrants and connect the points where the angle bisectors, and diameters intersect the circle.

Examples: In the space provided below construct a square inscribed in a circle, an octagon inscribed in a circle, and a 16-gon inscribed in a circle. (Do each construction in a different circle.) Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson.

Essential Question: What is an inscribed polygon? We will write a summary at the conclusion of the lesson. Square Octagon 16-gon

Homework Textbook pg. 165 #3-8