Geometry Final Study Guide

Front

If ABCD is a square with AD = 11, what is m∠BAC?

Back

45°

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

If ΔPQR ~ ΔTSR, what does it mean about the triangles?

Back

The triangles are similar, meaning their corresponding angles are equal and their sides are in proportion.

Front

What is the inverse trigonometric function used to find an angle when given two sides of a right triangle?

Back

The inverse trigonometric functions are sin⁻¹, cos⁻¹, and tan⁻¹.

Front

In a right triangle, if one angle is 30°, what are the measures of the other two angles?

Back

The other two angles are 60° and 90°.

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

If a square has a side length of 11, what is its area?

Back

Area = side² = 11² = 121.

Front

What is the relationship between the diagonals of a square?

Back

The diagonals of a square are equal in length and bisect each other at right angles.

Front

How do you find the length of a side of a triangle if you know the lengths of the other two sides and the angle between them?

Back

Use the Law of Cosines: c² = a² + b² - 2ab * cos(C).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.