Segments in triangles
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a perpendicular bisector in a triangle?
Back
A perpendicular bisector is a line segment that divides another segment into two equal parts at a 90-degree angle.
2.
FLASHCARD QUESTION
Front
What is the length of segment BC if segment AM is a median in triangle ABC and AM = 34?
Back
The length of segment BC is 34.
3.
FLASHCARD QUESTION
Front
What is a midsegment in a triangle?
Back
A midsegment is a segment that connects the midpoints of two sides of a triangle and is parallel to the third side.
4.
FLASHCARD QUESTION
Front
What is an altitude in a triangle?
Back
An altitude is a perpendicular segment from a vertex to the line containing the opposite side.
5.
FLASHCARD QUESTION
Front
If G is the centroid of triangle ABC, what is the relationship between the segments BG and BE?
Back
The centroid divides each median into two segments, with the segment connecting the vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side.
6.
FLASHCARD QUESTION
Front
How do you find the length of a median in a triangle?
Back
The length of a median can be found using the formula: m = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median, and c is the length of the side opposite the median.
7.
FLASHCARD QUESTION
Front
What is the significance of the centroid in a triangle?
Back
The centroid is the point where the three medians of a triangle intersect and it divides each median into a 2:1 ratio.
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