Adv Geometry - 3rd Six Weeks

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 FGH, what can be said about the lengths of QR compared to side GH?

Back

QR is half the length of side GH.

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

Given sides 2 cm, 6 cm, and 7 cm, do they form a triangle?

Back

Yes, because 2 + 6 > 7, 2 + 7 > 6, and 6 + 7 > 2.

Front

Given sides 3 cm, 10 cm, and 15 cm, do they form a triangle?

Back

No, because 3 + 10 is not greater than 15.

Front

Back

Cross-multiply to get: 9(x - 3) = 12(18). Solve for x to find x = 27.

Front

What is the definition of a triangle's midsegment?

Back

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

Front

What is the relationship between the lengths of the sides of a triangle?

Back

The lengths of the sides must satisfy the Triangle Inequality Theorem.

Front

If segment DE is a midsegment of triangle ABC, what can be said about segment DE?

Back

Segment DE is parallel to side AC and its length is half the length of side AC.

Front

What is the formula to find the length of a midsegment in a triangle?

Back

Length of midsegment = 1/2 * Length of the third side.