Perpendicular Bisectors
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
Wayground Content
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15 questions
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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
How do you find the length of a segment given its endpoints?
Back
Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).
Tags
CCSS.6.G.A.3
3.
FLASHCARD QUESTION
Front
What is the relationship between a point on the perpendicular bisector and the endpoints of the segment?
Back
Any point on the perpendicular bisector is equidistant from the endpoints of the segment.
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
How can you determine if a point lies on the perpendicular bisector of a segment?
Back
Calculate the distances from the point to each endpoint; if they are equal, the point lies on the bisector.
Tags
CCSS.HSG.CO.C.9
5.
FLASHCARD QUESTION
Front
What is the midpoint of a segment?
Back
The midpoint is the point that divides the segment into two equal lengths, calculated as ((x1 + x2)/2, (y1 + y2)/2).
Tags
CCSS.HSG.GPE.B.6
6.
FLASHCARD QUESTION
Front
What is the slope of a line perpendicular to another line with slope m?
Back
The slope of a line perpendicular to another line with slope m is -1/m.
Tags
CCSS.HSG.CO.A.1
7.
FLASHCARD QUESTION
Front
How do you write the equation of a perpendicular bisector given two endpoints?
Back
1. Find the midpoint of the segment. 2. Determine the slope of the segment. 3. Use the negative reciprocal of that slope for the perpendicular slope. 4. Use point-slope form to write the equation.
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