1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62

1.

2. Yes, by definition. No, they don’t have to be adjacent

3. Yes4. No5. Yes

7. Complementary: GLH and HLJ Supplementary: GLJ and JLK

No, they don’t have to share a vertex

1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62

9. m2 = 69° 11. m2 = 85°

13. m2 = 25° 15. m2 = 153°

17. x = 8, mDEG = 135°, mGEF = 45°

19. x = 9, mDEG = 54°, mGEF = 36°

21. Linear Pair 23. Vertical Angles25. Linear Pair 27. Neither

29. The angles add up to 90°, not 180°. ANS: x = 22.5

31. x = 10°, y = 35° 33. x = 55°, y = 30°

1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62

39. x = 23, mA = 71°, mB = 19°

41. x = 4, mA = 68°, mB = 22°

43. x = 39, mA = 58°, mB = 122°

49. FGA & AGC 50. FGA & CGD

51. FGA & AGC 52. FGA & AGB

53. Subtract 180 – 120 to find the supplementary angle, 60°

61. 62.L J

H K

E F G HJ JK

HL LK

EF FG GE

1.6 – Classify Polygons

Polygon:

Plane figure that is formed by 3 or more segments, called sides such that:

1. Each side intersects exactly 2 other sides, once at each endpoint

2. No sides with a common endpoint are collinear

3. No curved sides

Side: Line segment forming the polygon

M

T

SR

Q

QM

MT

TS

SR

RQ

Vertex: Point where two sides meet

M

T

SR

Q

M

T

S

R

Q

Consecutive Sides: Two sides that share a point, one after the other

M

T

SR

Q

and MTQM

and QRQM

Diagonal: Segment that joins two nonconsecutive sides

M

T

SR

Q

QT

QS

MS

MR

TR

# of sides Name

3

4

5

6

7

8

9

10

11

12

n

trianglequadrilateral

pentagonhexagon

heptagonoctagon

nonagondecagon

? Extra Credit!

dodecagonn-gon

Convex: No line that contains a side of the polygon contains a point in the interior of the polygon. (rubberband)

Concave: Not convex! Think of a cave going inward!

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

No, Curved side

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

Yes, concave

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

Yes, convex

State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?

No,

Sides intersect 3 other sides

Equilateral Equiangular Regular

All sides are congruent

All angles are congruent

All sides AND all angles are congruent

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Regular

Hexagon

All sides and angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Regular

quadrilateral

All sides and angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Equiangular

Octagon

All angles , but not all sides

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

equilateral

decagon

All sides , but not all angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Regular

Heptagon

All sides and angles

Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.

Equilateral

Quadrilateral

All sides , but not all angles

1.7 - Find Perimeter, Circumference, and Area

Area:

Perimeter:

Square units inside a shape.

Measured in u2

cm2, in2, ft2

Length around a shape.

Measured in ucm, in, ft, yd

, yd2

sP 4 2sA

Square:

s

wA wP 22

Rectangle:

bhA

w

cbaP bhA2

1

Triangle:

b

a ch

b

a ch

rC 2 2rA

Circle:d

dC

Diameter = 2 radius

1. Find the perimeter and area of the shaded figure.

sP 4 2sA)8(4PinP 32

2)8(A264inA

Perimeter: _____________

Area: __________________

inP 32264inA

1. Find the perimeter and area of the shaded figure.

298 ftA

Perimeter: _____________

Area: __________________

wP 22 bhA)7(2)14(2 P

1428PftP 42

)7)(14(A

ftP 42298 ftA

1. Find the perimeter and area of the shaded figure.

cbaP bhA2

1

343016 PinP 80 )16)(30(

2

1A

)16(15A2240inA

Perimeter: _____________

Area: __________________

inP 802240inA

1. Find the perimeter and area of the shaded figure.

cbaP bhA2

1

204839 PcmP 107 )15)(48(

2

1A

A24(15)

A360cm2

Perimeter: _____________

Area: __________________

cmP 107

A360cm2

2. Find the perimeter and area of the shaded figure.

Perimeter: _____________

Area: __________________

2rA dC )49(CcmC 49

224.5A

A600.25cm2

A600.25cm2

cmC 49

1. Find the perimeter and area of the shaded figure.

cbaP bhA2

1

13107 PmP 30 )5)(10(

2

1A

)5(5A225mA

Perimeter: _____________

Area: __________________

mP 30225mA

4. Use the information about the figure to find the indicated measure.

Perimeter = 84ftFind the length. wP 22

)13(2284 26284

258 ft29

Area = 432m2

Find the width.

4. Use the information about the figure to find the indicated measure.

2A s2432 s

432 s

4 108

2 2 2 27

3 9

3 3

2 3 2 3s 6 6s m

Area = 189cm2

Find the height.

4. Use the information about the figure to find the indicated measure.

bhA2

1

h)21(2

1189

189 10.5h

hcm18