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GEOMETRY REVIEW

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

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GEOMETRY REVIEW

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  1. GEOMETRY REVIEW Look how far we have come already!

  2. 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

  3. 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.

  4. 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.

  5. 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

  6. 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.

  7. 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

  8. 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

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