Free Printable 5.6 Inequalities in Two Triangles

1.

a)

10.5

b)

15

c)

21

d)

28

2.

a)

Dave

b)

Ellen

3.

Compare m∠TUW and m∠VUW

a)

m∠TUW < m∠VUW

b)

m∠TUW > m∠VUW

c)

m∠TUW = m∠VUW

4.

Compare PS and SR.

a)

PS < SR

b)

PS > SR

c)

PS = SR

5.

Find the range of possible values of x.

a)

x < 21

b)

x < 41

c)

-20 < x < 21

d)

-20 < x < 160

6.

Find the range of possible values of x.

a)

$-\frac{3}{5}$ < x < 7

b)

$-\frac{17}{3}$ < x < 7

c)

x < 7

d)

x > 7

7.

Use the figure to write an inequality relating the given pair of segment measures.

WU and YU

a)

WU < YU

b)

WU > YU

c)

WU = YU

8.

Find the range of possible values for x.

a)

2 < x < 6

b)

x < 6

c)

x < 2

d)

x > 6

9.

Find the range of possible values for x.

a)

x < 33

b)

-4.5 < x < 33

c)

x < 85.5

d)

-4.5 < x < 85.5

10.

If the shortest angle is opposite to an unknown side, which of these statements are true?

a)

The side opposite is the largest

b)

The side opposite is the smallest

c)

The side opposite is perpendicular

d)

The side opposite is the hypotenuse

11.

Determine whether it is possible to draw a triangle with sides of the given measures. 18cm, 20cm, 40 cm.

a)

yes

b)

no

12.

Which is NOT a possible measure for ∠DCB?

a)

27º

b)

30º

c)

34º

d)

35º

13.

Which of the following is a possible length for segment AC

a)

10

b)

15

c)

17

d)

9

14.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

15.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

16.

Using the hinge theorem, we can say that AB _____ DC

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

17.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

18.

BC _____ EF

a)

<

b)

>

c)

=

d)

No conclusion can be made.

19.

Which of the following statements must be true?

a)

RS > XY

b)

RS < XY

c)

ST < XZ

d)

$\angle T\ >\angle Z$

20.

Select all that are TRUE.

a)

AB > AE

b)

BE > CE

c)

BE > CD

d)

CD < DE

e)

CE > BC

21.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

22.

Compare measure of angle Y and measure of angle M.

a)

measure of angle Y = measure of angle M

b)

measure of angle Y > measure of angle M

c)

measure of angle Y < measure of angle M

d)

Not enough information is given.

23.

Compare $m\angle ACD\ and\ m\angle GDE$

a)

$m\angle ACB\ >\ m\angle GDE$

b)

$m\angle ACD\ <\ m\angle GDE$

c)

$m\angle ACB\ =\ m\angle GDE$

d)

$\angle ACB\ \cong\ \angle GDE$

24.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

$\overline{QT}\ \cong\ \overline{ST}$

25.

Find the range of possible values of x.

a)

$\frac{5}{3}<x<8$

b)

$-\frac{3}{2}<x>8$

c)

$\frac{32}{3}<x<27$

d)

$27<x<37$

5.6 Inequalities in Two Triangles

Total questions: 25

Worksheet time: 35mins

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