Homework 5-5 Median & Altitude

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a centroid in a triangle?
Back
The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.
Tags
CCSS.HSG.CO.C.10
2.
FLASHCARD QUESTION
Front
How do you find the length of a segment in a triangle using the centroid?
Back
The lengths of the segments created by the centroid divide each median into a ratio of 2:1.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
If AG = 3x + 15 and BG = 5x + 9, how do you solve for x?
Back
Set AG equal to BG: 3x + 15 = 5x + 9. Solve for x to find x = 3.
4.
FLASHCARD QUESTION
Front
What is the formula for the length of a median in a triangle?
Back
The length of a median can be calculated using the formula: m = 1/2 * √(2a² + 2b² - c²), where a, b, and c are the lengths of the sides of the triangle.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
What is the relationship between the segments created by the centroid?
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.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
How do you find the value of n in a triangle problem?
Back
Use the properties of triangles, such as the sum of angles or the relationships between sides, to set up an equation and solve for n.
Tags
CCSS.8.G.A.5
7.
FLASHCARD QUESTION
Front
What is the significance of the centroid in triangle geometry?
Back
The centroid is important because it provides a balance point for the triangle and is used in various applications, including physics and engineering.
Tags
CCSS.HSG.CO.C.10
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