Quadrilaterals Parallelograms Analytic Geometry Unit 1 Similarity Congruence

Quadrilaterals & Parallelograms Analytic Geometry Unit 1: Similarity, Congruence & Proofs

Parallelogram O 2 pairs of opposite O O sides are parallel 2 pairs of opposite sides are ≅ 2 pairs of opposite angles are ≅ Consecutive angles are supplementary Diagonals bisect each other ∠A+∠B=180 ∠A+∠D=180 ∠C+∠B=180 ∠C+∠D=180

Rectangle All properties of a Parallelogram plus O Diagonals are ≅ O 4 ≅ right angles AC≅ DB

Rhombus All properties of a Parallelogram plus O Diagonals are perpendicular (they make 90 degrees) O Diagonals bisect opposite angles O 4 ≅ sides

Square All properties of a Parallelogram plus All properties of a Rectangle plus All properties of a Rhombus AC≅ DB

Trapezoid Exactly 1 pair of parallel sides

Isosceles Trapezoid O Exactly 1 pair of parallel sides O Base angles are ≅ O Opposite angles are supplementary O 1 pair of ≅ legs O Diagonals are ≅ AC≅ BD ∠A+∠B=180 ∠A+∠D=180 ∠C+∠B=180 ∠C+∠D=180

Kite O 2 pairs of consecutive sides are ≅ O 1 pair of opposite angles are ≅ O Diagonals are perpendicular

Helpful formulas Slope Formula: Given the two points (x 1, y 1) and (x 2, y 2) Distance Formula: Given the two points (x 1, y 1) and (x 2, y 2), the distance between these points is given by the formula: