Triangle MidSegment Theorem & Triangle Inequalities

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

Front

If KJ is a midsegment of triangle WXV, how do you find the length of segment VX?

Back

To find the length of segment VX, double the length of the midsegment KJ.

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.

Front

What is the relationship between the lengths of the sides of a triangle according to the Triangle Inequality Theorem?

Back

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

Front

Given two sides of lengths 2 and 6, what is the maximum length of the third side to form a triangle?

Back

The maximum length of the third side is less than 8 (2 + 6).

Front

Given two sides of lengths 2 and 6, what is the minimum length of the third side to form a triangle?

Back

The minimum length of the third side is greater than 4 (6 - 2).

Front

What does it mean for segments to be parallel in the context of triangles?

Back

Parallel segments in triangles indicate that they will never intersect and maintain equal distance apart, often relating to midsegments and corresponding sides.

Front

How do you determine which angle is the largest in a triangle?

Back

The largest angle in a triangle is opposite the longest 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 (double the length of the midsegment QR).

Front

What is the significance of the midsegment in triangle WUV?

Back

The midsegment divides the triangle into two smaller triangles that are similar to the original triangle.