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CHAPTER 4 • LearningExpress Skill Builders 94
There are 230 kids total because 92 is 40% of 230.
You can check your answer: .4 230 92.
GEOMETRY
1. c.Notice that this figure contains similar triangles.
Similar triangles are in proportion. Because
AB:BD 2:3, then we know that the triangles are
in a 2:5 ratio.
This means that the bases of these 2 triangles will
also be in a 2:5 ratio.
2. b. A pentagon has five sides. If a pentagon is regular, that means that all five sides are equal. To find
the perimeter, we just add up the distance around
the pentagon.
2525252525 125 mm.
3. a. First, notice the triangle in the middle of the
rectangle. All triangles have 180°, so we know that
the 3rd angle is 50°. (95° 35° 50° 180°)
Next, notice how this question is similar to a Parallel Lines question:
Angle p and 50° are alternate interior angles, and
are thus equal: p 50°.
4. b. The slope is calculated by using the formula
m Δ
Δ
x
y
, where m is the slope of the line.
We will use the points (3, 5) and (8, 10) in the
slope formula:
m Δy
y2
Δ
–
x
y1
x2 – x1
8
1
–
0
(
–
–
5 3)
1
8
0
–
3
5
1
5
1
5. a. A reflection is like a mirror image. If we are
reflecting the figure across the y-axis, then we are
making a mirror image of it across the vertical axis.
Choice a meets this description.
95o 50o
35o
A p
C D
B
SBGeo_1 SBGeo_2 SBGeo_3
SBGeo_4 SBGeo_5
SBGeo_6
SBGeo_7 SBGeo_8
SBGeo_9
SBGeo_10
5
5
5
5
5
SBGeo_14
SBGeo_15
SBGeo_17 SBGeo_18
SBGeo_19
SBGeo_16
A
B C
D E
2 2
5
3
SBGeo_20
–BASIC SKILLS FOR COLLEGE–