Free Printable #6.6 Inequalities in Two Triangles

1.

Fill in the blank:

If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is ____________ the third side of the second.

a)

shorter than

b)

longer than

c)

equal to

2.

Choose the TRUE statement.

a)

$AC>DF$

b)

$AC<DF$

c)

$AC=DF$

d)

The above statements are all false.

3.

Choose the TRUE statement.

a)

$m\angle HGI\ >\ m\angle JGI$

b)

$m\angle HGI\ \ <\ \ m\angle JGI$

c)

$m\angle HGI=m\angle JGI$

d)

The above statements are all false.

4.

Choose the TRUE statement.

a)

$m\angle1\ >\ m\angle2$

b)

$m\angle1\ \ <\ \ m\angle2$

c)

$m\angle1=m\angle2$

d)

The above statements are all false.

5.

Choose the TRUE statement.

a)

$KL>MN$

b)

$KL<MN$

c)

$KL=MN$

d)

The above statements are all false.

6.

Which choice can be used to find the possible values of x?

a)

$x+7>2x-3$

b)

$x+7<2x-3$

c)

$x+7=2x-3$

d)

None of these

7.

Which choice can be used to find the possible values of x?

a)

$6\left(x+1\right)>14x-10$

b)

$6\left(x+1\right)<14x-10$

c)

$6\left(x+1\right)=14x-10$

d)

None of these

8.

Given: $\overline{AD}\cong\overline{BC}$ and $m\angle DAC\ >\ m\angle ACB$ which statement below is true based on the Hinge Theorem?

a)

$m\angle DCA>m\angle BAC$

b)

$AB>DC$

c)

$m\angle ADC>m\angle CBA$

d)

$DC>AB$

9.

Given: The diagram shown here and the fact that $\overline{TV}\cong\overline{UW}$ and $TU>VW$ which statement below is TRUE?

a)

$UV<VU$

b)

$TV>UW$

c)

$m\angle TVU>m\angle WUV$

d)

$m\angle TUV=m\angle WUV$

10.

Choose the TRUE statement.

a)

$m\angle C<m\angle F$

b)

$m\angle C>m\angle F$

c)

$m\angle C=m\angle F$

d)

The above statements are all false.

#6.6 Inequalities in Two Triangles

Total questions: 10

Worksheet time: 2hrs 32mins

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