Triangle Angle Bisector Theorem

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Triangle Angle Bisector Theorem?
Back
The Triangle Angle Bisector Theorem states that the angle bisector of a triangle divides the opposite side into two segments that are proportional to the lengths of the other two sides.
Tags
CCSS.HSG.CO.C.9
2.
FLASHCARD QUESTION
Front
How do you find the length of a segment created by an angle bisector?
Back
To find the length of a segment created by an angle bisector, use the formula: (AB/AC) = (BD/DC), where AB and AC are the lengths of the sides adjacent to the angle, and BD and DC are the segments created on the opposite side.
Tags
CCSS.HSG.CO.C.9
3.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a triangle and the segments created by the angle bisector?
Back
The segments created by the angle bisector are proportional to the lengths of the other two sides of the triangle.
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 8 and 6, what is the ratio of the segments created by the angle bisector?
Back
The ratio of the segments created by the angle bisector will be 8:6 or 4:3.
Tags
CCSS.HSG.CO.C.9
5.
FLASHCARD QUESTION
Front
What is an angle bisector?
Back
An angle bisector is a line or ray that divides an angle into two equal parts.
Tags
CCSS.HSG.CO.C.9
6.
FLASHCARD QUESTION
Front
How can you apply the Triangle Angle Bisector Theorem to find missing lengths in a triangle?
Back
You can apply the theorem by setting up a proportion based on the lengths of the sides and the segments created by the angle bisector, then solving for the missing length.
Tags
CCSS.HSG.CO.C.9
7.
FLASHCARD QUESTION
Front
What is the significance of the Triangle Angle Bisector Theorem in geometry?
Back
The Triangle Angle Bisector Theorem is significant because it provides a method to find unknown lengths and relationships in triangles, which is essential for solving various geometric problems.
Tags
CCSS.HSG.CO.C.9
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