Midsegments of Triangles

Front

What is a midsegment of a triangle?

Back

A midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle.

Front

What is the relationship between a triangle's midsegment and its sides?

Back

The midsegment is parallel to the third side of the triangle and its length is half the length of that side.

Front

If a triangle has sides of lengths 10 and 14, what is the length of the midsegment connecting those sides?

Back

The length of the midsegment is 7 (half of 14).

Front

How do you find the midpoint of a line segment?

Back

To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), use the formula: ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the perimeter of a triangle with sides 10, 12, and 14?

Back

The perimeter is 36 (10 + 12 + 14).

Front

If the midsegment of a triangle is 8, what is the length of the side it is parallel to?

Back

The length of the side is 16 (double the length of the midsegment).

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle, maintaining proportionality.

Front

How can midsegments be used to solve for unknown side lengths in triangles?

Back

By using the properties of midsegments, you can set up equations based on the relationships between the midsegment and the sides.

Front

If a triangle has a midsegment of length 5, what can you say about the side it is parallel to?

Back

The side it is parallel to is 10 (the midsegment is half the length of the side).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.