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Counterexample

An example showing that a generalization has at least one exception

Pythagorean Triple

Any three positive integers a, b, and c that make the relationship a2 + b2 = c2 true

Isosceles

Having two sides of equal length

Tangent Ratio

In a right triangle, the ____ ratio of an acute angle is the opposite leg divided by the adjacent leg

Cosine Ratio

In a right triangle, the ____ ratio of an acute ∠A is the adjacent leg divided by the hypotenuse

Sine Ratio

In a right triangle, the _____ ratio of an acute angle is the opposite leg divided by the hypotenuse

Slope Angle

The acute angle a line forms with the x‑axis on a coordinate graph

Reference Angle

The given acute angle in a right triangle

Hypotenuse

The longest side of a right triangle

Inverse Cosine

When the ratio between the length of the side adjacent the reference angle and the length of the hypotenuse are known, cos−1 (raised to the negative one) can be used to find the measure of the reference angle

Inverse sine

When the ratio between the length of the side opposite the reference angle and the length of the hypotenuse are known, sin−1 (raised to the negative one) can be used to find the measure of the reference angle

Inverse Tangent

When the ratio between the lengths of the legs of a right triangle is known, tan−1 (raised to the negative one) can be used to find the measure of the reference angle

Theta

a Greek letter that is often used to represent the measure of an angle

Equalateral

all sides have equal length

Trigonometric Ratio

examples are sine, cosine, and tangent.

Angle

formed by two rays joined at a common endpoint

Ambiguous

something that has more than one interpretation or conclusionHHHH

Leg

the two sides of a right triangle that form the right angle

Right Triangle

A triangle that has one right angle