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- Homework 1: Midsegment Of A Triangle Application

HOMEWORK 1: MIDSEGMENT OF A TRIANGLE APPLICATION
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
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.
2.
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 third side of the triangle.
3.
FLASHCARD QUESTION
Front
If segment DE is a midsegment of triangle ABC, what can be said about the lengths of DE and AC?
Back
DE is equal to half the length of AC.
4.
FLASHCARD QUESTION
Front
What is the relationship between the midsegment and the triangle's area?
Back
The area of the triangle formed by the midsegment and the two vertices of the triangle is one-half the area of the original triangle.
5.
FLASHCARD QUESTION
Front
If the lengths of sides AB and AC are 10 and 14 respectively, what is the length of the midsegment connecting the midpoints of AB and AC?
Back
The length of the midsegment is 7.
6.
FLASHCARD QUESTION
Front
What is the significance of the midsegment in triangle similarity?
Back
The midsegment creates a smaller triangle that is similar to the original triangle.
7.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 8, 10, and 12, what is the length of the midsegment connecting the midpoints of the sides of lengths 8 and 10?
Back
The length of the midsegment is 6.
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