Triangle Proportions
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a triangle midsegment?
Back
A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle. It is parallel to the third side and its length is half the length of that side.
2.
FLASHCARD QUESTION
Front
What does it mean for two triangles to be similar?
Back
Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.
3.
FLASHCARD QUESTION
Front
What is the Angle Bisector Theorem?
Back
The Angle Bisector Theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.
4.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?
Back
It is a right triangle, as it satisfies the Pythagorean theorem (3^2 + 4^2 = 5^2).
5.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of the sides of similar triangles?
Back
The lengths of the corresponding sides of similar triangles are in proportion.
6.
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.
7.
FLASHCARD QUESTION
Front
How do you find the length of a midsegment in a triangle?
Back
The length of a midsegment is equal to half the length of the side it is parallel to.
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