Free Printable Inequalities of Two Triangles and Indirect Proof

1.

Choose an answer that best fills in the blank for the given proof. Assume temporarily that __________

a)

$\overline{AC}$ and $\overline{BC}$ are not congruent

b)

$\overline{AC}\cong\overline{BC}$

c)

$\angle A$ is not congruent to $\angle B$

d)

$\angle A\cong\angle B$

2.

Choose an answer that best fills in the blank for the given proof.

But this contradicts the given information that __________.

a)

$\angle A\$ and $\angle B$ are not congruent

b)

$m\angle A$ and $m\angle B$ are equal

c)

$\angle A$ and $\angle B$ are congruent

d)

$m\angle A$ and $m\angle B$ are not equal

3.

Therefore, the temporary assumption that ________ must be false.

a)

$AC\ =\ BC$

b)

$m\angle A\ \ne\ m\angle B$

c)

$\overline{AC}\ \cong\ \overline{BC}$

d)

$\angle A\ \cong\ \angle B$

4.

Choose an answer that best fills in the blank for the given proof.

It follows that __________.

a)

$\overline{AC}$ and $\overline{BC}$ are not congruent

b)

$AC$ and $BC$ are not equal

c)

$\overline{AC}$ and $\overline{BC}$ are congruent

d)

$AC\$ and $BC$ are equal

5.

In △RED, if m∠D < m∠E, then RD > (a) .

6.

Two sides of a triangle have lengths 6 and 8. The length of the third side must be greater than _____ and less than _____.

a)

2

b)

14

c)

7

d)

15

7.

If AB ≅ AC and m∠1 > m∠2, then BT _____ CT.

a)

<

b)

>

c)

=

8.

If TB ≅ TC and AB < AC, then m∠3 ______ m∠4.

a)

<

b)

>

c)

=

9.

If TB ≅ TC and m∠3 > m∠4, then AB _____ AC.

a)

<

b)

>

c)

=

Inequalities of Two Triangles and Indirect Proof

Total questions: 9

Worksheet time: 9mins

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