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ANSWERS TO WORKSHEET. 1) True2) False3) True4) True x = 20, y = 106) x = 5 y = 37) 15 8) 279) 610) 2a11) 84 12) 7013) 7214) 715) 16 16) 617) 2. 5-4 Special Parallelograms. TEST DATE IS CHANGED!!!!!! Moved early to THURSDAY DEC. 1 QUIZ is TUESDAY Nov. 29. Rectangle. - PowerPoint PPT Presentation
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ANSWERS TO WORKSHEET
1) True 2) False 3) True 4) True5) x = 20, y = 10 6) x = 5 y = 3 7)
158) 27 9) 6 10) 2a 11)
8412) 70 13) 72 14) 7 15) 1616) 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
D C
O
AC BD
AO CO BO DO
A
D C
O
ORThe median of a right angle of a triangle is ½ the hypotenuse
1
2DO AC
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
D C
E
2
362º
1
4O2 90O3 28O4 56
O1 62
TOO: MNOP IS A RECTANGLE
Find the measure of angles 1, 2, and 3. Find the length of PQ and MO.
M N
P O
Q
23 29º
1
12
O1 90O2 29O3 61
12PQ 24MO
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
