Question 1

The diagram indicates that$\Delta ABC \cong$_____.

Accepted Answer

$\Delta PQR$

Answer

$\Delta RQP$

Answer

$\Delta PRQ$

Answer

$\Delta QRP$

Question 2

The diagram indicates that $\overline{QR} \cong $ ______.

Accepted Answer

$\overline{BC}$

Answer

$\overline{AB}$

Answer

$\overline{AC}$

Answer

$\overline{RP}$

Question 3

The diagram indicates that $\angle ABC \cong$ _____.

Accepted Answer

$\angle PQR$

Answer

$\angle QPR$

Answer

$\angle PRQ$

Answer

$\angle RPQ$

Question 4

The diagram indicates that $\overline{AB} \cong$_______.

Accepted Answer

$\overline{PQ}$

Answer

$\overline{PR}$

Answer

$\overline{QR}$

Answer

$\overline{AC}$

Question 5

The diagram indicates that $\angle CBA \cong$ ______.

Accepted Answer

$\angle RQP$

Answer

$\angle RPQ$

Answer

$\angle QPR$

Answer

$\angle QRP$

Question 6

Find the value of x.

Accepted Answer

16

Answer

59

Answer

18

Answer

14.75

Question 7

From the diagram, you are given that the two triangles have three pairs of congruent sides.    The congruent sides are $\overline{DE} \cong$______ ,  ...

Accepted Answer

$\overline{HG}$

Answer

$\overline{FH}$

Answer

$\overline{FG}$

Answer

$\overline{ED}$

Question 8

... ______ $\cong \overline{GF}$, ...

Accepted Answer

$\overline{EF}$

Answer

$\overline{DF}$

Answer

$\overline{DE}$

Answer

$\overline{FG}$

Question 9

... $\overline{DF} \cong$ ______ .

Accepted Answer

$\overline{HF}$

Answer

$\overline{HG}$

Answer

$\overline{FD}$

Answer

$\overline{FG}$

Question 10

Because $\angle D$ and $\angle F$ have the same measure, $\angle D \cong\angle F$.  By the vertical angles theorem, you know that _______________.

Accepted Answer

$\angle DFE \cong \angle HFG$

Answer

$\angle DEF \cong \angle HGF$

Answer

$\angle DFG \cong \angle HFE$

Answer

$\angle EFG \cong \angle DFH$

Question 11

By the third angles theorem, ______________.

Accepted Answer

$\angle DEF \cong \angle HGF$

Answer

$\angle DFE \cong \angle HFG$

Answer

$\angle DEF \cong \angle FHG$

Answer

$\angle EFH \cong \angle GFD $

Question 12

So, all three pairs of corresponding sides and all three pairs of corresponding angles are congruent.  By the definition of congruent triangles, _______.

Accepted Answer

$	riangle DEF \cong 	riangle HGF$

Answer

$	riangle DEF \cong 	riangle FGH$

Answer

$	riangle FED \cong 	riangle FHG$

Answer

$	riangle EDF \cong 	riangle HGF$

Question 13

If $	riangle DEF \cong 	riangle MNO$ , then$m\angle E = m\angle$ ________.

Accepted Answer

$N$

Answer

$M$

Answer

$D$

Answer

$O$

Question 14

If $	riangle DEF \cong 	riangle MNO$, then $DF = $______.

Accepted Answer

$MO$

Answer

$FD$

Answer

$MN$

Answer

$NO$

Question 15

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

SAS

Answer

ASA

Answer

Not enough information

Answer

SSS

Question 16

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

SSS

Answer

ASA

Answer

Not enough information

Answer

SAS

Question 17

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

Not enough information

Answer

ASA

Answer

AAS

Answer

SAS

Question 18

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

Not enough information

Answer

ASA

Answer

SAS

Answer

AAS

Question 19

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

ASA

Answer

SAS

Answer

AAS

Answer

Not enough information

Question 20

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

AAS

Answer

Not enough information

Answer

SAS

Answer

ASA

Question 21

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

SAS

Answer

AAS

Answer

SSS

Answer

Not enough information

Question 22

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

AAS

Answer

SAS

Answer

ASA

Answer

Not enough information

Question 23

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

ASA

Answer

AAS

Answer

Not enough information

Answer

SAS

Question 24

Decide whether enough information is given to prove the two triangles are congruent. If there is enough information, select the theorem you would use.

Accepted Answer

AAS

Answer

SSS

Answer

SAS

Answer

Not enough information

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