WorksheetsG_end3begin4
Total questions: 50
Worksheet time: 1hrs 17mins
The ratio of the measures of the angles of a triangle is 6:2:7. Find the measure of the largest angle.
(a)
The ratio of the side lengths of a triangle is 4:9:8. If the perimeter of the triangle is 147 feet, what is the length of the shortest side?
18 feet
28 feet
36 feet
42 feet
The ratio of the length to the width of a rectangle is 10:6. If the perimeter of the rectangle is 160 meters, what is the measure of the width?
24 meters
30 meters
36 meters
40 meters
The ratio of the measures of the angles of a triangle is 6:10:2. Find the measure of the smallest angle.
(a)
The ratio of the side lengths of a triangle is 2:7:6. If the perimeter of the triangle is 345 yards, what is the length of the middle side?
30 yards
138 yards
210 yards
230 yards
The ratio of the width to the length of a rectangle is 4:15. If the perimeter of the rectangle is 152 meters, what is the area of the rectangle?
960 square meters
530 square meters
220 square meters
730 square meters
The ratio of the measure of ∠A to the measure of angle ∠B is 3:2. Find the measure of ∠A.
54°
72°
90°
108°
The ratio of the measures of the angles of a triangle is 17:3:10. Find the measure of the middle angle.
51 degrees
30 degrees
102 degrees
60 degrees
The ratio of the measures of two supplementary angles is 3:6. Find the measure of the larger angle.
30 degrees
60 degrees
90 degrees
120 degrees
The ratio between the vertex angle and a base angle of an isosceles triangle is 8:6. What is the measure of the vertex angle?
68 degrees
80 degrees
72 degrees
120 degrees
Solve the following proportion:
42
6
2
28
There were 5 ice cream cones sold for every 3 brownies at the ice cream shop. If 24 brownies were sold, how many ice cream cones were sold?
8
15
40
29
What number completes the proportional equation?
4
12
13
35
7
89
What is the ratio of dogs to cats?
2:3
3:5
3:2
5:2
Molly has 2 dogs and 3 cats.
What is the ratio of cats to dogs?
2:3
5:3
5:2
3:2
Molly has 2 dogs and 3 cats.
What is the ratio of cats to TOTAL animals?
2:3
5:3
3:5
5:2
Molly has 2 dogs and 3 cats.
What is the ratio of TOTAL animals to dogs?
5:3
3:2
5:2
3:5
The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?
2
4
6
8
The ratio of male students to female students in the Campbell High School drama club is 3:4. If the number of male students in the club is 18, how many female students are there?
184
43
24
8
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
35
60
18
50
Complete each proportion.
CB / DM = AC / ?
BM
MA
BC
AD
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is the distance AB, rounded to the nearest meter?
10
12
15
18
A gymnasium is 96 feet long and 75 feet wide. On a scale drawing, the gymnasium is 5.5 inches long. What is the width of the gymnasium on the scale drawing, rounded to the nearest tenth of an inch?
4.3
8.6
6.4
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the tree. What is the height of the tree?
144 feet
72 feet
36 feet
If two figures are similar, their angles are______.
proportional
congruent
supplementary
complementary
Are the triangles similar?
Yes
No
Find the value of x.
5
11
47
38
Find the value of x.
2
6
4
12
Find the value of x.
8
7
56
28
Find the value of x.
6
30
15
20
The centroid is the point of concurrence of the 3 ____ of a triangle.
Medians
Midsegments
Perpendicular bisectors
Angle bisectors
If Z is the centroid, what type of segments have been drawn?
angle bisectors
perpendicular bisectors
altitudes
medians
CF, BE, and AD are the medians of the triangle. If BF = 10, what is the value of AF?
20
10
5
There is not enough information
If DL = 24, then DG =
16
8
12
36
If G is the centroid of triangle ABC and GF = 4, what is the length of GC?
4
8
12
There is not enough information
If G is the centroid of triangle ABC and BE = 18, what is the length of BG?
6
12
18
There is not enough information
If G is the centroid of triangle ABC and AG = 16, what is the length of GD?
8
16
24
There is not enough information
If G is the centroid of triangle ABC and GE = 7, what is the length of BE?
7
14
21
There is not enough information
The figure is an example of a(n) ...
angle bisector
perpendicular bisector
median
midsegment
The figure is an example of a(n) ...
angle bisector
midsegment
altitude
median
The centroid divides each median into two segments. The shorter segment is ___________ the length of the entire segment.
one third
two thirds
three quarters
half
X is the centroid of the triangle. If ZX = 3, what is the value of AZ?
3
6
9
12
X is the centroid of the triangle. If AZ = 24, what is the value of AX?
4
8
12
16
Which of the following words describes the point shown in the figure?
A. Central point
B. Orthocenter
C. Centroid
D. Midpoint
If G is the centroid of triangle ABC and GF = 4, find the length of GC.
4
8
12
There is not enough information
A triangle with two medians
3.3
6.6
13.2
19.8
A triangle with two medians
5.75
11.5
17.25
2.875
A triangle with one or more medians
22
11
33
26
