Math 8 Chapter 2

Congruent Figures

100

p.46 #6

Angles: A&J, B&K, C&L, D&M

Sides: AB&JK, BC&KL, CD&LM, DA&MJ

200

p.46 #8

Congruent; corresponding side lengths and corresponding angles are congruent. 

300

p.47 #11

The corresponding angles are not congruent, so the two figures are not congruent. 

400

p.47 #12 

Parts a & b

a) 32 feet

b) Angle M

500

p.47 #12

Parts c&d

c) 20 feet

d) 96 feet

Translations

100

p.52 #4

Yes

200

p.52 #10

J' (3,0), K' (3,-2), L' (0,-2)

300

p.52 #12

See figure and image drawn.

400

p.53 #19

Down 3 right 6

500

p.53 #20

Down 2 left 5

Reflections & Rotations

100

p.58 #4&5

No, Yes

200

p.65 #11

Yes, 90 degree counterclockwise 

300

p.66 #13

A'(2,2), B'(1,4), C'(3,4), D'(4,2)

400

p.58 #14

Q'(4,2), R'(2,4), S'(1,1)

500

p.66 #22

R''(2,1), S''(-1,7), T''(2,7)

Similar Figures

100

p.74 #4

Similar, corresponding angles are congruent. 

4/6 = 6/9

The corresponding side lengths are proportional. 

200

p.74 #10

14.4

300

p.80 #4

11/6

121/36

400

p.80 #5

5/8

25/64

500

p.80 #9

The area is 9 times larger.

Dilations

100

p.87 #7

Yes

200

p.87 #13

See figure and image.

Enlargement.

300

p.88 #19

Each coordinate was multiplied by 2 instead of divided by 2. The coordinates should be A'(1,2.5), B'(1,0), C'(2,0)

400

p.88 #23

A''(10,6), B''(4,6), C''(4,2), D''(10,2)

500

p.88 #28

Dilate with respect to the origin using a scale factor of 3 and then translate 11 units left and 11 units up.