Download Practice Worksheet 7.1

Practice Worksheet for Lessons 7-1 & 7.2 II
Use the given diagram to express each ratio in simplest form.
1) AB:AC
2) BC to AC
Name:
Period #:
A
3) BC
AB
12
4) m< C
m< A
91°
24
26°
B
C
27
5) m< B : m< C
Express the ratio of AB:AD in simplest form.
6) AB = 5m
AD = 2m
7) AB = 8cm
AD = 8m
Find the measure of each angle for #8 and 9.
8) Two complementary angles have measures in the ratio 2:3
9) The measures of the angles of a triangle are in the ratio 3: 4: 5.
10) The perimeter of a triangle is 48 cm and the lengths of the sides are in
ratio 2: 2: 5. Find the length of each side.
11) The ratio of the measures of the exterior angles of a pentagon is
2:3:4:4:5. Find the measure of each exterior angle.
12) Using the answer from #11 find the measure of the largest interior
angle.
13) Use the given diagram and the fact that AD = AB to fill in the table.
DC BC
AD
DC
4
6
AC
AB
BC
B
8
8
13
16
18
15
24
A
14) x – 1 = x + 4
x–2 x+2
D
C
15) x – 1 = __10__
x + 2 3x – 2
16) To estimate the height of a pole, a basketball player exactly 2 m tall
stood so that the ends of his shadow and the shadow of the pole coincided.
The player’s shadow was 1.6 m and he was standing 2.8 m from the pole.
About how tall was the pole?
17) A tower casts a shadow 48 m long. Tom is 2 m tall and casts a shadow 8
m long while standing beside the tower. How tall is the tower?
18) A film projector is showing an image on a screen. The film is 6 cm from
the light source and the screen is 24 m from the light source. If the
projected image is 2.2 m tall, how tall is the film image?
19) You can estimate the height of a flagpole by placing a mirror on ground
level so that you can see the top of the flagpole in it. A woman is standing
about 120cm from the mirror, she is 172 cm tall, and her eyes are about 12
cm from the top of her head. The flagpole is about 4.5 m from the mirror.
From Physics we know that the angles of elevation from the mirror are
congruent. Explain why the triangles are similar and find the approximate
height of the pole.