Perpendicular and Angle Bisectors

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a perpendicular bisector?
Back
A line that divides a segment into two equal parts at a 90-degree angle.
2.
FLASHCARD QUESTION
Front
Define angle bisector.
Back
A ray that divides an angle into two equal angles.
Tags
CCSS.HSG.CO.C.9
3.
FLASHCARD QUESTION
Front
What is the relationship between perpendicular bisectors and triangles?
Back
The perpendicular bisectors of a triangle intersect at a point called the circumcenter, which is equidistant from the vertices.
Tags
CCSS.HSG.C.A.3
4.
FLASHCARD QUESTION
Front
What is the significance of the circumcenter in a triangle?
Back
It is the center of the circumcircle, the circle that passes through all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
5.
FLASHCARD QUESTION
Front
How do you construct a perpendicular bisector of a segment?
Back
1. Place the compass point on one endpoint and draw an arc above and below the segment. 2. Repeat from the other endpoint. 3. Draw a line through the intersection points of the arcs.
Tags
CCSS.HSG.CO.C.9
6.
FLASHCARD QUESTION
Front
What is the difference between a median and a perpendicular bisector?
Back
A median connects a vertex to the midpoint of the opposite side, while a perpendicular bisector divides a segment into two equal parts at a right angle.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
What is the measure of angles formed by an angle bisector?
Back
The angle bisector divides the angle into two equal parts, so each part measures half of the original angle.
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