MP2 Concepts Summary

Front

Do the following side lengths form a triangle? 2 inches, 2 inches, 4 inches

Back

No, the sum of the lengths of the two shorter sides (2 + 2 = 4) is not greater than the length of the longest side (4). This violates the triangle inequality theorem.

Front

List the side measures in order, shortest to longest: QM, QP, MP, MQ, MP, QP, MP, MQ, QP

Back

MQ, MP, QP

Front

Find the value of x if x + 5 = 40

Back

x = 35

Front

QR is a midsegment of triangle WUV. What is the length of segment QR if the lengths of the sides of triangle WUV are 16?

Back

8, because the length of a midsegment is half the length of the third side.

Front

What is the ratio for Tangent?

Back

Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is 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

Define 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 Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

If the lengths of two sides of a triangle are 5 and 12, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 7 (12 - 5) and less than 17 (5 + 12).

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.