Key Concepts in Geometry and Measurement

Distance and Midpoint

You calculate how far two points are and the point halfway between.

Set Theory

You analyze unions and intersections between two collections of elements.

Types of Numbers

You distinguish between rational, irrational, integers, and whole numbers.

Algebraic Properties

You apply the distributive or commutative property to simplify an expression.

Basic Geometric Objects

You describe a part of a line or flat surface extending in space.

Congruence

You state that two shapes are the same size and shape.

Geometric Proof

You write a logical argument step-by-step to demonstrate a geometric truth.

Triangle Inequality

You check if three side lengths can form a triangle.

Trig Ratios (SOHCAHTOA)

You use sine, cosine, or tangent to solve a right triangle.

Similarity

Two figures have the same shape but different sizes.

Circle Geometry

You work with chords, tangents, and arcs.

Triangle Angle Sum Rule

You know the sum of the angles in a triangle is always 180°.

Quadrilateral Classification

You name parallelograms, rhombi, rectangles, and squares and compare their properties.

Conditional Reasoning in Geometry

You use diagrams with 'always,' 'sometimes,' and 'never' reasoning.

CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

You explore how corresponding parts of congruent triangles are equal.

Triangle Congruence Proof Strategies

You determine if triangles are congruent using AAS or HL.

Bisectors and Midpoints

You identify points that divide a segment or angle exactly in half.

Proportionality in Triangles

You apply proportions to the sides of triangles.

Triangle Midlines and Parallel Segments

You use the Midline Theorem to relate triangle midpoints.