Geometry EOC Review

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How do you find the other endpoint of a line segment given one endpoint and the midpoint?

Back

Use the midpoint formula: If M(x,y) is the midpoint and A(x1,y1) is one endpoint, then the other endpoint B(x2,y2) can be found using the equations: x = (x1 + x2)/2 and y = (y1 + y2)/2.

Front

What are complementary angles?

Back

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

Front

How do you calculate the total surface area of a prism?

Back

The total surface area of a prism is calculated by adding the areas of all its faces, including the bases.

Front

If angle A measures 65.2°, what is the measure of its complement?

Back

The measure of the complement of angle A is 90° - 65.2° = 24.8°.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

Use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angles and sides.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².