Bellwork Is it possible to trace the following figure without

retracing any lines and without lifting your pencil from the paper? If yes, trace the route. If not, explain why it is not possible

Solve for x

37

9

x

Clickers

Bellwork Solution Is it possible to trace the following figure without

retracing any lines and without lifting your pencil from the paper? If yes, trace the route. If not, explain why it is not possible

Bellwork Solution Solve for x

37

9

x

UNIT 4 MASTERY TEST ON FRIDAY

Tested Concepts• Polygon Interior and Exterior angles theorem• Properties of parallelograms, rectangles, rhombuses and squares• Properties of trapezoids, isosceles trapezoids and kites• Proving a quadrilateral is a parallelogram, trapezoid or neither based

on points• Proofs of theorems for special quadrilaterals• Identification of quadrilaterals (by picture)• Identification of quadrilaterals that fit a certain criteria• Finding angles in a kite using trig ratios• Perform transformations and combinations of transformations• Perform transformations and combinations of transformations via

matrix• Identify transformations• Identify compound transformations• Write equations of circles• Identify circles by equation• Write equations of parabolas• Find focus & directrix of parabolas based on equations

Question #1Solve for x

.145

.210

.720

ABC

105

75

145130120

x

Question #2Solve for x

.17.3

.18.7

.54.7

ABC

3x

5x

35

5385

2x

Question #3What is the value of x?

3 3x

33

.10

.12

.13

ABC

Question #4What is the value of x?

x 105

.30

.45

.75

.105

ABCD

Question #5What value of x makes the object a rectangle?

15x 2 8x

.7

.7.67

.23

ABC

Question #6Solve for x?

5 2x 2 13x .2.14.3.67.5

ABC

Question #7For what value of x, does the trapezoid become isosceles

.23

.24.3

.25

ABC

71o 3x-2

Question #8What is the measure of the missing angles?

.30

.90

.100

ABC

120o

B15

A

40o

Question #9Solve for the midsegment AB

.3

.28

.56

ABC

A B

31

25

Question #10Solve for x

.6.8

.13

.14.8

ABC

A B

3x-4

2x+1

31

Question #11What is the name of this object

A.TrapezoidB.IsoscelesTrapezoidC.KiteD.Rectangle

Question #12What is the name of this object?

A.RhombusB.RectangleC.Square

Question #13Which quadrilaterals have perpendicular bisectors?

A. Kites, Trapezoids, RhombusesB. Rhombuses, Rectangles, SquaresC. Kites, RhombusesD. Kites, Rhombuses, Squares

Question #14Which quadrilaterals have congruent bisected diagonals?

A. Kites, Rectangles, SquaresB. Rhombuses, Rectangles, SquaresC. Rectangles, RhombusesD. Rectangles, Squares

ExampleWhat theorem would we use to show that the

quadrilateral is a parallelogram?

2525 ..8.7.8.8.8.9.8.10

A DefBCDE

ExampleWhat theorem would we use to show that the

quadrilateral is a parallelogram?

20

20

16

16

.

.8.7

.8.8

.8.9

.8.10

A DefBCDE

ExampleWhat theorem would we use to show that the

quadrilateral is a parallelogram?

120

120

.

.8.7

.8.8

.8.9

.8.10

A DefBCDE

60

60

ExampleWhat theorem would we use to show that the

quadrilateral is a parallelogram?

.

.8.7

.8.8

.8.9

.8.10

A DefBCDE

ExampleWhat value of x, makes the quadrilateral a

parallelogram?

5 10x 45 .9

.11

.40

ABC

Bellwork Solve for x

• 5x-4=3x+10• x2-3x-10=0• 4x-3+5x-7+8x-12=360

Clickers

Bellwork Solution Solve for x

5x-4=3x+10

.1.75

.7

.14

ABC

Bellwork Solution Solve for x

x2-3x-10=0

. 2,5

.2, 5

.1, 10

. 1,10

ABCD

Bellwork Solution Solve for x

4x-3+5x-7+8x-12=360

.11.36

.15.59

.19.88

.22.47

ABCD