Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half the length of the third side.

Front

If QR is a midsegment of triangle BCD, what can be said about segments QR and BC?

Back

Segment QR is parallel to segment BC and its length is half of BC.

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, and then use the formula: Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Front

What is the relationship between the angles formed by a midsegment and the angles of the triangle?

Back

The angles formed by the midsegment are equal to the angles of the triangle at the vertices opposite to the sides the midsegment connects.

Front

If the length of side AB is 10 and side AC is 14, what is the length of the midsegment connecting points D and E?

Back

The length of the midsegment DE is 12 (which is the average of 10 and 14).

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle, maintaining the same angle measures and proportional side lengths.

Front

If segment QR is a midsegment of triangle WUV and its length is 8, what is the length of side UV?

Back

The length of side UV is 16, since the midsegment is half the length of the side it is parallel to.

Front

What is the measure of angle X if it is formed by two lines intersecting at a midsegment?

Back

Angle X is equal to the corresponding angle in the triangle that the midsegment is part of.

Front

Which segments are parallel if QR is a midsegment of triangle ABC?

Back

Segments QR and BC are parallel.

Front

If the lengths of sides AB and AC are 6 and 10 respectively, what is the length of the midsegment connecting the midpoints of AB and AC?

Back

The length of the midsegment is 8.