GEOMETRY REVIEW Look how far we have come already!

Chapter 4 (really the most important one) Congruent figures: same shape and size Corresponding parts (order matters) CPCTC Proving Triangles Congruent –SAS –SSS –ASA –AAS –HL

Chapter 4 Isosceles Triangles Vertex angle Base angles If base angles are congruent, two sides are congruent. If two sides are congruent, then base angles are congruent.

Chapter 4 Parts of Triangles Median: is a segment from the vertex to the midpoint of the opposite side Altitude: is the perpendicular segment from a vertex to the line containing the opposite side Perpendicular Bisector: is a line or segment that is perpendicular to the segment at its midpoint.

Chapter 5 Parallelograms Parallelogram: Quad. with opposite sides that are parallel –Opp. Angles are congruent –Opp. Sides are congruent –Diagonals bisect each other Proof –All above or prove one pair of sides parallel and congruent

Chapter 5 Parallel Lines If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. The segment that joins the midpoint of two sides of a triangle is parallel to the third and half as long.

Chapter 5 Special Parallelograms Rectangle: Quad with four right angles –Diagonals are congruent Rhombus: Quad with four congruent sides –Diagonals are perpendicular –Diagonals bisect angle Square: Quad with four equal sides and angles

Chapter 5 Trapezoids Trapezoid: Quad with exactly one pair of parallel sides The parallel sides are called the bases, the other sides are the legs. Isosceles Trapezoid: a trapezoid with congruent legs –Base angles are congruent Median is parallel to bases and is the average of the two bases