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Transcript
RHOMBUS GEOMETRY DATE __________ Per.___________ Quadrilaterals questions a-w below. 1. Answer Then in parts x,y, and z, complete each theorem. H NAME_________________________ R 1 2 8 7 B 3 4 M 6 5 O a) A rhombus is an equilateral quadrilateral. State which four sides are congruent. b) According to the reflexive property, RO = ? c) Why is HM = MH? d) What triangle congruence conditions justifies ∆HRM ≅ ∆ MOH? e) What other two triangles are congruent by Side-Side-Side? f) Why is ∠4≅∠8? g) What other two angles are congruent by CPCTC? h) Name two other pairs of congruent angles. i) Since ∆MRH and ∆HOM have two congruent sides, they are what kind of triangles? j) Why is ∠8 ≅ ∠3? k) What angle is congruent to ∠7? l) Name two other pairs of congruent angles according to the Isosceles Triangle Theorem. m) Since ∠1 ≅ ∠5, what lines are parallel by the Converse of the A.I.A. Thm.? n) What pair of alternate interior angles are needed to claim that RM // HO? o) Name all angles congruent to ∠1: p) Name all other congruent angles. q) Since ∠5 ≅ ∠6, what does OB do to ∠HOM? r) Name the bisectors of the remaining interior angles of the rhombus. s) The Isosceles ∆ Vertex Corollaries justify the conclusion that RO is what kind of bisector? t) What kind of angle is ∠RBH? Why? u) Name all angles congruent to ∠RBH: v) How are the segments HM and RO related? w) Are ∆RBH, ∆HBO, ∆MBO, and ∆MBR congruent? Why? x) THEOREM: The diagonals of a rhombus are: y) THEOREM: What bisects the opposite angles of a rhombus? z) THEOREM: A rhombus is also a: