ANSWERS TO WORKSHEET 1) True2) False3) True4) True 5) x = 20, y = 106) x = 5 y = 37) 15 8) 279) 610) 2a11) 84 12) 7013) 7214) 715) 16 16) 617) 2.

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Presentation transcript:

ANSWERS TO WORKSHEET 1) True2) False3) True4) True 5) x = 20, y = 106) x = 5 y = 37) 15 8) 279) 610) 2a11) 84 12) 7013) 7214) 715) 16 16) 617) 2

5-4 S PECIAL P ARALLELOGRAMS TEST DATE IS CHANGED!!!!!! Moved early to THURSDAY DEC. 1 QUIZ is TUESDAY Nov. 29

R ECTANGLE A quadrilateral with four right angles Theorem: If one angle of a parallelogram is 90º, then it is a rectangle.

R ECTANGLE Theorem: The diagonals of a rectangle are congruent. Theorem: The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices. AB DC O A DC O OR The median of a right angle of a triangle is ½ the hypotenuse

R HOMBUS A quadrilateral with four congruent sides. Theorem: If two consecutive sides of a parallelogram are congruent, then it is a rhombus.

R HOMBUS The diagonals of a rhombus are perpendicular. Each diagonal of a rhombus bisects two angles.

S QUARE A quadrilateral with four right angles and four congruent sides. It’s a combo of a rectangle and a rhombus!!!! ALL THEOREMS for a RECTANGLE and RHOMBUS also apply to a square.

Multiple Choice Notes 1) A conditional statement is shown below. If a quadrilateral has perpendicular diagonals, then it is a rhombus. Which of the following is a counterexample to the statement above? A) Look atC) B) your pictures in Notes!!D) Answer: A

Multiple Choice Notes Quadrilateral is a parallelogram. If adjacent angles are congruent, which statement must be true? A) Quadrilateral is a square. B) Quadrilateral is a rhombus. C) Quadrilateral is a rectangle. D) Quadrilateral is an isosceles trapezoid. ANSWER: C

TOO: ABCD IS A R HOMBUS Find the measure of angles 1, 2, 3, and 4. AB D C E º 1 4

TOO: MNOP IS A R ECTANGLE Find the measure of angles 1, 2, and 3. Find the length of PQ and MO. MN PO Q º 1 12

H OMEWORK Page 187 #1-29, SKIP #28 is 4 steps #29 is 6 steps Copy the chart for #1-10 Flashcards Rectangle Right Triangle Thm Rhombus Square