Perpendicular Bisectors and Midsegments of a Triangle
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
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
What is a midsegment of a triangle?
Back
A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.
3.
FLASHCARD QUESTION
Front
How does the length of a midsegment compare to the lengths of the sides of the triangle?
Back
The length of a midsegment is half the length of the side it is parallel to.
4.
FLASHCARD QUESTION
Front
If AC = 42, what is the length of the midsegment DF connecting the midpoints of AB and AC?
Back
DF = 21, which is half of AC.
Tags
CCSS.HSG.SRT.B.4
5.
FLASHCARD QUESTION
Front
What is the relationship between the perpendicular bisector and the triangle's vertices?
Back
The perpendicular bisector of a side of a triangle passes through the midpoint of that side and is equidistant from the triangle's vertices.
Tags
CCSS.HSG.CO.C.9
6.
FLASHCARD QUESTION
Front
If XZ = 22, what is the length of BC if BC is the side opposite to the midsegment?
Back
BC = 44, as the midsegment is half the length of the side it is parallel to.
Tags
CCSS.HSG.SRT.B.4
7.
FLASHCARD QUESTION
Front
How do you find the length of a side of a triangle using its midsegment?
Back
To find the length of a side, multiply the length of the midsegment by 2.
Tags
CCSS.HSG.SRT.B.4
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