Perpendicular and Angle Bisectors

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+5
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a perpendicular bisector?
Back
A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.
2.
FLASHCARD QUESTION
Front
Why do we use arcs of the same radius when constructing a perpendicular bisector?
Back
Using arcs of the same radius from each endpoint ensures that the arcs are equidistant from each other, which helps locate the intersection point.
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 all three vertices.
Tags
CCSS.HSG.C.A.3
4.
FLASHCARD QUESTION
Front
Define angle bisector.
Back
An angle bisector is a ray that divides an angle into two equal angles.
Tags
CCSS.HSG.CO.C.9
5.
FLASHCARD QUESTION
Front
What is the significance of the angle bisector in triangles?
Back
The angle bisector of a triangle divides the opposite side into segments that are proportional to the adjacent sides.
Tags
CCSS.HSG.CO.C.9
6.
FLASHCARD QUESTION
Front
How do you find the measure of an angle using an angle bisector?
Back
If you know the measure of the angle, you can divide it by 2 to find the measure of each of the two equal angles created by the bisector.
Tags
CCSS.HSG.CO.C.9
7.
FLASHCARD QUESTION
Front
What is the congruence statement for two triangles that are congruent by the Side-Angle-Side (SAS) postulate?
Back
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, they are congruent. Example: ΔABC ≅ ΔDEF.
Tags
CCSS.HSG.SRT.B.5
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