WorksheetsRelationships in Triangles (Part 1)
Total questions: 18
Worksheet time: 19mins
Name
Class
Date
1.
Determine the geometric mean between 20 and 25.
a)
10√6
b)
5√10
c)
10√5
d)
5√20
2.
32 is the geometric mean of 16 and what other number?
a)
8
b)
64
c)
√32
d)
8√2
3.
Determine the value of x.
a)
6√4
b)
2
c)
4√6
d)
√6
4.
Solve for x.
a)
x = 17/8
b)
x = 81/8
c)
x = 8
d)
x = 2
5.
Determine the value of w.
a)
21
b)
9
c)
7
d)
3
6.
In the diagram, the vertices of ΔDEF are midpoints of the sides of equilateral ΔABC. The perimeter of ΔABC is 36 cm. What is the length of EF?
a)
6
b)
12
c)
18
d)
4
7.
What is the value of y?
a)
3
b)
-3
c)
No Solution
d)
5
8.
Determine the value of x
a)
7
b)
2
c)
0
d)
5
9.
What is the measure of angle Y?
a)
60
b)
40
c)
140
d)
100
10.
Which is NOT a possible measure for ∠DCB?
a)
27º
b)
30º
c)
34º
d)
35º
11.
Which statement MUST be true?
a)
m∠1 > m∠3
b)
m∠1 = m∠2
c)
m∠1 > m∠2
d)
m∠1 < m∠2
12.
Which statement MUST be true?
a)
x > 4
b)
x < 4
c)
x < 8/3
d)
x < 2
13.
Which set of numbers MAY represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
{6,6,7}
c)
{6,4,2}
d)
{2,8,1}
14.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
15.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
16.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
17.
Determine the LONGEST segment.
a)
DC
b)
AD
c)
BC
d)
BD
18.
In ∆DEF, DE = 7x + 1, EF = 11x – 18, and
DF = 5x + 13. If the perimeter of ∆DEF is 88,
which of the following lists the angles in order from least to greatest?
DF = 5x + 13. If the perimeter of ∆DEF is 88,
which of the following lists the angles in order from least to greatest?
a)
∠D, ∠E, ∠F
b)
∠D, ∠F, ∠E
c)
∠F, ∠D, ∠E
d)
∠E, ∠F, ∠D
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