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Inequalities in Two Triangles – Practice 01

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1.

What theorem can be used to prove $\overline{AC} \textgreater \overline{DF}$ ?

Hinge Theorem

Converse of the Hinge Theorem

SAS

SSS

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Question 1 of 10

2.

Which angle is the largest?

A

B

C

They are all congruent

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Question 2 of 10

3.

What is the range for possible lengths of $x$ ?

$6 \textless x \textless 12$

$9 \textless x \textless 12$

$3 \textless x \textless 21$

Not enough info

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Question 3 of 10

4.

How do $\overline{BA}$ and $\overline{DA}$ compare?

$\overline{BA} \cong \overline{DA}$

$\overline{BA} \textless \overline{DA}$

$\overline{BA} \textgreater \overline{DA}$

$\overline{BA} + \overline{DA} = \overline{BD}$

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Question 4 of 10

5.

How do $\angle ADB$ and $\angle CDB$ compare?

$\angle ADB \cong \angle CDB$

$\angle ADB \textless \angle CDB$

$\angle ADB + \angle CDB = \angle ABC$

$\angle ADB \textgreater \angle CDB$

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Question 5 of 10

6.

How do $\angle BAD$ and $\angle CDA$ compare?

$\angle BAD \textless \angle CDA$

$\angle BAD \textgreater \angle CDA$

$\angle BAD \ cong \angle CDA$

Not enough info

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Question 6 of 10

7.

Which could be the range of values for $x$ ?

$x \textgreater 10$

$3.6 \textless x \textless 9$

$9 \textless x \textless 27$

$x \textless 27$

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Question 7 of 10

8.

How do $\overline{BC}$ and $\overline{CD}$ compare?

$\overline{BC} \cong \overline{CD}$

$\overline{BC} + \overline{CD} = \overline{AC}$

$\overline{BC} \textless \overline{CD}$

Not enough info

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Question 8 of 10

9.

Which could be the range of values for $x$ ?

$-16 \textless x \textless -8$

$x \textgreater -8$

$4 \textless x \textless 26$

$x \textless 22$

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Question 9 of 10

10.

Which could be the range of values for $x$ ?

$-2 \textless x \textless 10.5$

$x \textless 10.5$

$x \textgreater 40$

$-6 \textless x \textless -2$

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Question 10 of 10

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