EDGE Math 8

Refer to the given figure and identify what is being asked. Choose your answer. Note that some items have multiple answers.

1.	Which pair(s) of geometric figures is (are) congruent?

∠ DEF

and

∠ GEC

\bar{CG}

and

\bar{EG}

∠ CBG

and

∠ ECG

∠ BAG

and

∠ ECG

Answer: $∠ D E F$ and $∠ G E C$ ; $∠ C B G$ and $∠ E C G$

2.	Which of the following is a (are) remote interior angle(s) of $\bar{EF} ?$

∠ EFG

∠ CGE

∠ DCE

∠ EDC

Answer: $∠ C G E,$ $∠ D C E,$ and $∠ E D C$

3.	Which statement(s) is (are) not true?

∠ GEC ≅ ∠ FED

m ∠ GBC > m ∠ GEC

m ∠ CGE + m ∠ CEG > m ∠ FEG

m ∠ DCG > m ∠ CBG

Answer: $m ∠ C G E + m ∠ C E G > m ∠ F E G;$
The correct statement is $m ∠ C G E + m ∠ C E G = m ∠ F E G .$

4.	Which angles form a linear pair?

∠ GCE

and

∠ GBC

∠ DCE

and

∠ GCB

∠ DCE

and

∠ GEC

∠ DCE

and

∠ ECB

Answer: $∠ D C E$ and $∠ E C B$

5.	Which pair(s) of remote interior angles gives a sum of measures equal to $m ∠ DEF ?$

∠ ABG

and

∠ BGA

∠ EGC

and

∠ ECG

∠ BGC

and

∠ CBG

∠ DCE

and

∠ CDE

Answer: $∠ D C E$ and $∠ C D E;$ $∠ E G C$ and $∠ E C G$

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