-27 -29
32
-30
-34
3
30
-29
-27
Action
Points
8. MP Use Math Tools The table shows the number of points
earned for each action in a video game. While playing the video
game, Kevin fell in water, jumped over a rock, touched a cactus
and climbed a mountain. Graph the number of points he earned
for each action on the number line.
-10
fall in water
+5
walk over a bridge
+10
climb mountain
+5
jump over rock
-15
-15-10
0 5 10
walk through quicksand
-15
touch cactus
Lesson 1 Integers and Graphing 349

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft