Name: _________________________________________________________ Date: _______________ Block: ________ Unit 9: Quadrilaterals Topic/Assignment I CAN statement Turned in? Properties of Quadrilaterals HW: Worksheet Properties of all Quadrilaterals 1) I can find the missing angle measurements Yes No Properties of Parallelograms HW: Properties of Parallelograms Worksheet 1) I can find angle and side measures in parallelograms. Yes No Proving Parallelograms HW: Proving Parallelograms Worksheet 1) I can use properties to prove quadrilaterals are parallelograms. Yes No Properties of Rhombuses, Squares, and Rectangles HW: Properties of Rhombuses, Squares, and Rectangles Worksheet 1) I can use properties of rhombuses, rectangles and squares. Yes No Properties of Kites and Trapezoids HW: Properties of Kites and Trapezoids Worksheet 1) I can use properties of kites and trapezoids. 2) I can use the properties to find missing side and angle measures. Yes No Special Quadrilaterals HW: Special Quadrilaterals Worksheet 1) I can identify special quadrilaterals. Yes No Unit 9 Review Yes No The Unit 9 Test is on _______________________. **If all eight assignments are completed by the day the Unit 9 test is given you will receive 5 extra points on the test. **
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Name: _________________________________________________________ Date: _______________ Block: ________
Unit 9: Quadrilaterals
Topic/Assignment I CAN statement Turned in?
Properties of Quadrilaterals HW: Worksheet Properties of all Quadrilaterals
1) I can find the missing angle measurements Yes No
Properties of Parallelograms HW: Properties of Parallelograms Worksheet
1) I can find angle and side measures in parallelograms. Yes No
Proving Parallelograms HW: Proving Parallelograms Worksheet
1) I can use properties to prove quadrilaterals are parallelograms.
Yes No
Properties of Rhombuses, Squares, and Rectangles HW: Properties of Rhombuses, Squares, and Rectangles Worksheet
1) I can use properties of rhombuses, rectangles and squares.
Yes No
Properties of Kites and Trapezoids HW: Properties of Kites and Trapezoids Worksheet
1) I can use properties of kites and trapezoids. 2) I can use the properties to find missing side and angle measures.
Yes No
Special Quadrilaterals HW: Special Quadrilaterals Worksheet
1) I can identify special quadrilaterals. Yes No
Unit 9 Review
Yes No
The Unit 9 Test is on _______________________. **If all eight assignments are completed by the day the Unit 9 test is given you will receive 5
extra points on the test. **
Name: _________________________________________________________ Date: _______________ Block: ________
Properties of Quadrilaterals 1) I can find missing angle measurements in quadrilaterals.
Quadrilateral
Quadrilateral Sum
Find the measure of the missing angle. 1) 2) 3) Find the value of x. Then find the measure of each angle. 1) 2) 3)
Name: _________________________________________________________ Date: _______________ Block: ________
Properties of Parallelograms Objective: To use relationships to find sides and angles in parallelograms.
Definition of Parallelogram
If a quadrilateral is a parallelogram…
Ex. 1: Sides & Angles in Parallelograms Find the missing side lengths and the missing angles in the following parallelograms. a) b) c) d)
W 3n-15 X
Z 2n + 3 Y
(3y + 37)0
(6y +4)0 27
Name: _________________________________________________________ Date: _______________ Block: ________
Ex. 2: Diagonals of Parallelograms a) ABCD is a parallelogram. AO = 15; DB = 10. Find CO, DO, and BO. b) RSTU is a parallelogram RO =y + 3; SO = 2x; c) HIJK is a parallelogram IO = b + 2; TO = 3y – 7 ; UO = x + 5. Find x and y. HO = a; KO = 3b - 10; JO = 2a –8.
Find a and b.
Name: _________________________________________________________ Date: _______________ Block: ________
Proving Parallelograms Objective: To use relationships to prove quadrilaterals are parallelograms.
Ways to Prove a Quadrilateral is a Parallelogram
Ex. 1 How can you show that the quadrilateral is a parallelogram? Ex. 2 For what value of x is quadrilateral CDEF a parallelogram? Ex. 3 Show that quadrilateral ABCD is a parallelogram.
Name: _________________________________________________________ Date: _______________ Block: ________
Rhombuses, Rectangles, and Squares SIDES AND ANGLES:
Parallelograms
Rhombuses
Rectangles
Squares
Venn Diagram to describe relationships PARALLELOGRAMS
RHOMBUSES RECTANGLES SQUARES Ex. 1 List the quadrilaterals for which the statements are true: a) Both pairs of opposite sides are parallel. b) Both pairs of opposite sides are congruent. c) All angles are congruent. d) All sides are congruent. Ex. 2 Find the value of x: a) b) c)
Name: _________________________________________________________ Date: _______________ Block: ________
DIAGONALS
Parallelograms
Rhombuses
Rectangles
Squares
Ex. 3 List the quadrilaterals for which the statements are true. a) The diagonals are congruent. b) The diagonals bisect the angles. c) The diagonals are perpendicular
Name: _________________________________________________________ Date: _______________ Block: ________
B C
D
153o
Kites and Trapezoids Objective: To verify and use properties of trapezoids and kites.
If a trapezoid is isosceles…
Ex. 1: ABCD is an isosceles trapezoid and mB = 1530. Find mA, mC, mD. Explain how you know each angle. Ex. 2: If diagonal AC is 2x – 3 and diagonal BD is 41 – 6x, find the value for x and the measure of each diagonal.
Trapezoid
A
A B
D C
Name: _________________________________________________________ Date: _______________ Block: ________
MIDSEGMENT of a Trapezoid
Ex. 3: Find the midsegment or the value of x for the following trapezoids. A. B. C. D. E. F. Recall/Review
Pythagorean Theorem
Ex. 5: Find the missing side lengths of the following triangles. A. B. C.
Name: _________________________________________________________ Date: _______________ Block: ________
KITE
Ex. 4: Find the measures of the missing angles. A. B. C. Ex. 6: WXYZ is a kite so the diagonals are ________________. Use the Pythagorean Theorem to find the lengths of the sides. A. B. C.
1.5
Name: _________________________________________________________ Date: _______________ Block: ________
Unit 9 SUMMARY Special Quadrilaterals Directions: Place an “X” in the box for which each characteristic is true
Parallelogram Rectangle Rhombus Square Kite Trapezoid
Isosceles Trapezoid
Figure with four sides
Angles add to 360 degrees
All s are
Both pairs of opposite s
are
Only one pair of opposite
s are
All sides are
Both pairs of opposite
sides are
Both pairs of opposite sides are ||
Only one pair of opposite sides are ||
Diagonals are
Diagonals are
Diagonals bisect angles at vertex
Diagonals bisect each other
Name: _________________________________________________________ Date: _______________ Block: ________
Ex. 1: Give the most specific name for the quadrilateral. Explain your reasoning. a) b) c)
Ex. 2: Points P, Q, R, and S are the vertices of a quadrilateral. Give the most specific name for PQRS. Justify your answer using the distance formula, slope formula, and/or midpoint formula.
a) 1,0 , 1,2 , 6,5 , 3,0P Q R S b) 2,1 , 6,1 , 5,8 , 3,8P Q R S
c) 2,7 , 6,9 , 9,3 , 5,1P Q R S d) 1,7 , 5,8 , 6,2 , 2,1P Q R S
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