Geometry Midterm 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 does 'm' represent in the equation y=mx+b?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = a + b + c.

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 D, E, and F are midpoints of the sides of triangle ABC, what is the relationship between triangle ABC and triangle DEF?

Back

Triangle DEF is similar to triangle ABC and its perimeter is half of the perimeter of triangle ABC.

Front

What is the angle bisector theorem?

Back

The angle bisector theorem states that the ratio of the lengths of the two segments created by an angle bisector is equal to the ratio of the lengths of the two opposite sides.

Front

How do you find the measure of an angle if you know the measures of the other angles in a triangle?

Back

The measure of the unknown angle can be found using the formula: m∠A + m∠B + m∠C = 180°.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.