Midterm Review #1

Front

What is a right isosceles triangle?

Back

A right isosceles triangle is a triangle that has one angle measuring 90 degrees and the other two angles are equal, each measuring 45 degrees.

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

How do you find the range of possible lengths for the third side of a triangle?

Back

To find the range of possible lengths for the third side, use the triangle inequality theorem: if the lengths of the other two sides are a and b, then the third side x must satisfy: |a - b| < x < a + b.

Front

What happens to the coordinates of a point when it is rotated 180° about the origin?

Back

When a point (x, y) is rotated 180° about the origin, its new coordinates become (-x, -y).

Front

What is the rule for rotating a point 180° clockwise?

Back

The rule for rotating a point (x, y) 180° clockwise is (x, y) → (-x, -y).

Front

What is the supplement of an angle?

Back

The supplement of an angle is the amount by which it falls short of 180 degrees. If an angle measures x degrees, its supplement is (180 - x) degrees.

Front

What is the complement of an angle?

Back

The complement of an angle is the amount by which it falls short of 90 degrees. If an angle measures x degrees, its complement is (90 - x) degrees.

Front

If three times the supplement of an angle equals eight times its complement, how can you express this mathematically?

Back

Let the angle be x. Then, 3(180 - x) = 8(90 - x).

Front

What is the relationship between an angle and its supplement?

Back

The relationship is that the sum of an angle and its supplement is always 180 degrees.

Front

What is the relationship between an angle and its complement?

Back

The relationship is that the sum of an angle and its complement is always 90 degrees.