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ANSWERS TO WORKSHEET. 1) True 2) False 3) True 4) True x = 20, y = 10 6) x = 5 y = 3 7) 15 8) 27 9) 6 10) 2a 11) 84 12) 70 13) 72 14) 7 15) 16 16) 6 17) 2. 5-4 Special Parallelograms. TEST DATE IS CHANGED!!!!!! Moved early to THURSDAY DEC. 1 QUIZ is TUESDAY Nov. 29. Rectangle.
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ANSWERS TO WORKSHEET 1) True 2) False 3) True 4) True • x = 20, y = 10 6) x = 5 y = 3 7) 15 8) 27 9) 6 10) 2a 11) 84 12) 70 13) 72 14) 7 15) 16 16) 6 17) 2
5-4 Special Parallelograms TEST DATE IS CHANGED!!!!!! Moved early to THURSDAY DEC. 1 QUIZ is TUESDAY Nov. 29
Rectangle • A quadrilateral with four right angles • Theorem: If one angle of a parallelogram is 90º, then it is a rectangle.
Rectangle • Theorem: The diagonals of a rectangle are congruent. • Theorem: The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices. A B O D C A OR The median of a right angle of a triangle is ½ the hypotenuse O D C
Rhombus • A quadrilateral with four congruent sides. • Theorem: If two consecutive sides of a parallelogram are congruent, then it is a rhombus.
Rhombus • The diagonals of a rhombus are perpendicular. • Each diagonal of a rhombus bisects two angles.
Square • 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 at C) 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 Rhombus • Find the measure of angles 1, 2, 3, and 4. A B 4 E 2 62º 3 1 D C
TOO: MNOP is a Rectangle • Find the measure of angles 1, 2, and 3. • Find the length of PQ and MO. M N 2 29º 3 12 Q 1 P O
Homework • Page 187 #1-29, • SKIP 20-23 • #28 is 4 steps • #29 is 6 steps • Copy the chart for #1-10 • Flashcards • Rectangle • Right Triangle Thm • Rhombus • Square