Topic 5 Exam Review

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

If QR is a midsegment of triangle BCD, how do you find the value of x?

Back

To find the value of x, use the properties of midsegments, which state that the length of the midsegment is half the length of the side it is parallel to.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

How do you determine the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Front

What is the formula for the length of a midsegment?

Back

The length of a midsegment is equal to half the length of the side it is parallel to.

Front

If the length of side AB is 16, what can you infer about the midsegment connecting the other two sides?

Back

The midsegment will be 8 units long, as it is half the length of the side it is parallel to.

Front

What does it mean if a triangle has no solution for x?

Back

It means that the given conditions do not allow for a valid triangle to be formed, often due to contradictory lengths or angles.

Front

How do you solve for x in a triangle problem?

Back

Use the properties of triangles, such as the triangle inequality theorem, and any given relationships between sides and angles.

Front

What is the triangle inequality theorem?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

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

Back

The length of side WU is 16, as the midsegment is half the length of the side it is parallel to.