Question: In this construction, you will construct a circle inside of a triangle. We called this circle the incircle. 1) On your own paper, draw a

In this construction, you will construct a circleIn this construction, you will construct a circleIn this construction, you will construct a circle
In this construction, you will construct a circle inside of a triangle. We called this circle the incircle. 1) On your own paper, draw a scalene triangle, AABC. 2) Construct the incenter of AABC. Label this point Z. 3) The incenter will be the center of the incircle. Before we can draw the circle, we must find a point on the circle. To do this, we must construct a perpendicular line going through this point of concurrency (point Z) and any segment of the triangle. The point of intersection of the perpendicular line and the triangle line segment is a point on the incircle. Label this point X. 4) Draw a circle using center point Z and this point. Constructions Extended Response Question INSERT PICTURE HERE WRITE YOUR RESPONSE HERE3 points 1) On your own paper, draw a scalene triangle, AWUV. 2) Use what you have learned about constructions to construct the circumcenter of AWUV. Label this point C. 3) Construct a circle so that the triangle is inside the circle and the vertices of the triangle lie on the circle. This is called the circumcircle. The center of the circle is the circumcenter (point C) and any point of the triangle lies on the circle. Constructions Extended Response Question INSERT PICTURE HERE WRITE YOUR RESPONSE HEREUse what you have learned about constructions to construct an inscribed isosceles right triangle. Write: Describe the steps you used in your construction. Justify how you know your triangle is 1) a right triangle and is 2) inscribed in a circle. Constructions Extended Response Question INSERT PICTURE HERE WRITE YOUR RESPONSE HERE

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