Chapter 5 Geometry Review

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 two sides of a triangle measuring 8 and 15, what is the range of possible values for the third side?

Back

7 < x < 23.

Front

If m∠DBC=97°, what can be inferred about the lengths of sides AD and DC?

Back

AD < DC.

Front

What is the definition of a midpoint in geometry?

Back

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

Front

If points B, F, and D are midpoints in triangle △, and AC=24, what is the relationship between FB and EC?

Back

If FB=15, then EC=30.

Front

What does it mean for a line to be a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a right angle.

Front

Back

AX = AY.

Front

What is the relationship between angles in a triangle?

Back

The largest angle is opposite the longest side.

Front

How do you determine the largest angle in a triangle given the lengths of the sides?

Back

Identify the longest side; the angle opposite this side is the largest.

Front

What is the formula for finding the length of a side in a right triangle using the Pythagorean theorem?

Back