GEOMETRY FINAL Review

Front

What is the slope of a line that is perpendicular to a line with slope m = -3?

Back

The slope of a line that is perpendicular to a line with slope m = -3 is 1/3.

Front

How do you find the distance between two points on a number line, for example, -7 and 9?

Back

The distance between -7 and 9 is calculated as |9 - (-7)| = |9 + 7| = 16 units.

Front

If ray \( \overrightarrow{DA} \) bisects angle \( \angle BAC \), what can be inferred about the segments created?

Back

If ray \( \overrightarrow{DA} \) bisects angle \( \angle BAC \), then the segments \( \overline{BD} \) and \( \overline{DC} \) are equal.

Front

What is the formula for the volume of a prism?

Back

The volume of a prism is calculated using the formula: Volume = Base Area × Height.

Front

If a circle has a circumference of 36π meters, how do you find its radius?

Back

The radius of a circle can be found using the formula: Circumference = 2πr. Therefore, r = Circumference / (2π) = 36π / (2π) = 18 meters.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

How do you calculate the distance between two points on a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is calculated using the distance formula: d = \( \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using 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): \( c^2 = a^2 + b^2 \).

Front

How do you find the area of a circle?

Back

The area of a circle is calculated using the formula: Area = πr^2, where r is the radius.