Mallory knows that three points are sufficient to define a circle, so she uses the three vertices of a triangle to define this circle. A Mallory could use the coordinates of points A, B, and C to find the circle's center. Instead, how can she find the center simply by using a compass and straightedge? O She can bisect each of the angles of the triangle. She can bisect each side of the triangle and connect the midpoints she finds with the opposite vertices. O She can construct lines from the triangle's vertices perpendicular to the opposite sides.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Question
Mallory knows that three points are sufficient to define a circle, so she uses the three vertices of a
triangle to define this circle.
A
Mallory could use the coordinates of points A, B, and C to find the circle's center.
Instead, how can she find the center simply by using a compass and straightedge?
O She can bisect each of the angles of the triangle.
She can bisect each side of the triangle and connect the midpoints she finds with the opposite vertices.
O She can construct lines from the triangle's vertices perpendicular to the opposite sides.
Transcribed Image Text:Mallory knows that three points are sufficient to define a circle, so she uses the three vertices of a triangle to define this circle. A Mallory could use the coordinates of points A, B, and C to find the circle's center. Instead, how can she find the center simply by using a compass and straightedge? O She can bisect each of the angles of the triangle. She can bisect each side of the triangle and connect the midpoints she finds with the opposite vertices. O She can construct lines from the triangle's vertices perpendicular to the opposite sides.
She can construct lines from the triangle's vertices perpendicular to the opposite sides.
O She can construct the perpendicular bisectors of the sides of the triangle.
Question 6
1 pts
Raphael is using a computer drawing program to design a triangular logo for his business. Raphael
used the program to adjust the size of AABC until its area was 15 square inches. Then he drew the
medians for AABC and selected colors for each of the resulting triangular regions as shown below.
A
Transcribed Image Text:She can construct lines from the triangle's vertices perpendicular to the opposite sides. O She can construct the perpendicular bisectors of the sides of the triangle. Question 6 1 pts Raphael is using a computer drawing program to design a triangular logo for his business. Raphael used the program to adjust the size of AABC until its area was 15 square inches. Then he drew the medians for AABC and selected colors for each of the resulting triangular regions as shown below. A
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