IM2 Quarter 3 Study Guide (High School)

Flashcards covering key terms and definitions from the IM2 Quarter 3 Study Guide.

Angle Bisector

A line that divides an angle into two equal angles.

Centroid

The point where the three medians of a triangle intersect.

Perpendicular Bisector

A line that divides a segment into two equal parts at a 90-degree angle.

Congruent Angles

Angles that have the same measure.

Supplementary Angles

Two angles whose measures add up to 180°.

Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Similarity in Triangles

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Dilation

A transformation that alters the size of a figure but preserves its shape.

Volume of a Cylinder

Given by the formula V = ext{Base Area} imes ext{Height} = ext{πr}^2h.

Volume of a Sphere

Given by the formula V = rac{4}{3} ext{πr}^3.

Circle Equation

The standard equation of a circle with center ((h,k)) and radius r is (x-h)^2 + (y-k)^2 = r^2.

Properties of Parallelograms

In a parallelogram, opposite sides are congruent, opposite angles are congruent, and the diagonals bisect each other.