Triangle Properties (Bisectors & Midsegment)
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+3
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a triangle bisector?
Back
A triangle bisector is a line segment that divides an angle of the triangle into two equal angles.
2.
FLASHCARD QUESTION
Front
What is the Midsegment of a triangle?
Back
The Midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.
3.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of the sides of a triangle and its bisector?
Back
The length of a triangle's angle bisector can be calculated using the formula: l = (2bc)/(b+c) * cos(A/2), where A is the angle opposite the side being bisected.
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
How does the Midsegment relate to the sides of the triangle?
Back
The Midsegment is parallel to the third side of the triangle and its length is half the length of that side.
Tags
CCSS.HSG.SRT.B.4
5.
FLASHCARD QUESTION
Front
What is the Angle Bisector Theorem?
Back
The Angle Bisector Theorem states that the ratio of the lengths of the two segments created by the bisector on the opposite side is equal to the ratio of the lengths of the other two sides of the triangle.
Tags
CCSS.HSG.CO.C.9
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 8m and 6m, what is the length of the segment created by the angle bisector?
Back
Using the Angle Bisector Theorem, the length of the segment can be calculated based on the ratio of the sides.
Tags
CCSS.HSG.CO.C.9
7.
FLASHCARD QUESTION
Front
What is the formula for finding the length of a Midsegment?
Back
The length of a Midsegment is calculated as half the length of the side it is parallel to.
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