GEOCCR Chapter 5 Test Review

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

If two sides of a triangle are 17 meters and 12 meters, what is the range of possible lengths for the third side?

Back

5 < x < 29

Front

What is a midpoint in geometry?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

If N is the midpoint of CB and M is the midpoint of AB, which segments are parallel?

Back

AB is parallel to CP.

Front

How do you determine the longest side of a triangle?

Back

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

Front

What is a circumcenter?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

If D is the circumcenter, how do you find the length of a segment from the circumcenter to a vertex?

Back

Use the properties of the circumcenter and the triangle's dimensions to calculate the length.

Front

What is a centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it divides each median into a 2:1 ratio.

Front

If X is the centroid and XZ = 14, what is AX?

Back

AX = 28.

Front

How do you order the sides of a triangle from longest to shortest?

Back

Compare the lengths of the sides and arrange them accordingly.