Quiz about Student Congruence Proofs

Question 1

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\overline{JK}\cong\overline{JK}$$ ; Reflexive

Answer

$$\angle M\cong\angle L$$ ; Reflexive

Answer

$$\overline{MJ}\cong\overline{LK}$$ ; Midpoint Theorem

Answer

$$\overline{MK}\cong\overline{LJ}$$ ; Hypotenuse Congruence

Question 2

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\angle P\cong\angle Q$$ ; CPCTC

Answer

$$\angle P\cong\angle Q$$ ; SAS

Answer

$$\angle P\cong\angle Q$$ ; SSS

Answer

$$\angle P\cong\angle Q$$ ; SSA

Question 3

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\overline{FG}\cong\overline{FG}$$ ; Reflexive

Accepted Answer

$$\overline{DG}\cong\overline{GE}$$ ; Midpoint theorem

Answer

$$\overline{FG}\cong\overline{FG}$$ ; Midpoint Theorem

Answer

$$\overline{DF}\cong\overline{FE}$$ ; Definition of a Bisector

Question 4

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\overline{WE}\cong\overline{QE}$$ ; Midpoint Theorem

Answer

$$\overline{WN}\cong\overline{GQ}$$ ; Prove

Answer

$$\angle W\cong\angle Q$$ ; Alternate Interior

Answer

$$\angle N\cong\angle G$$ ; Alternate Interior

Question 5

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\angle GEQ\cong\angle NEW$$ Vertical

Answer

$$\overline{WN}\cong\overline{GQ}$$ ; Prove

Answer

$$\angle G\cong\angle N$$ ; Alternate Interior

Answer

$$\angle W\cong\angle Q$$ ; Alternate Interior

Question 6

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\angle APB\cong\angle CPD$$ ; Vertical

Answer

$$\angle A\approx\angle D$$ ; Alternate Interior

Answer

$$\angle C\cong\angle B$$ ; Alternate Interior

Answer

$$\overline{AB}\cong\overline{CD}$$ ; Prove

Question 7

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\angle1\cong\angle2$$ ;Definition of a Bisector

Answer

$$\angle ADC\cong\angle BDC$$ ; Definition of a Bisector

Answer

$$\angle A\cong\angle B$$ ; Definition of a Bisector

Answer

$$\overline{AD}\cong\overline{DB}$$ ; Definition of a Bisector

Question 8

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\overline{DC}\cong\overline{DC}$$ ; Reflexive Property

Answer

$$\angle A\cong\angle B$$ ; Reflexive Property

Answer

$$\angle1\cong\angle2$$ ; Reflexive Property

Answer

$$\overline{AD}\cong\overline{DB}$$ ; Midpoint Theorem

Question 9

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\overline{SA}\cong\overline{NE}$$ ; CPCTC

Answer

$$\overline{SA}\cong\overline{NE}$$ ; Parallel Lines Congruence Theorem

Answer

$$\angle E\cong\angle A$$ ; Alternate Interior

Answer

$$\overline{SE}\cong\overline{AN}$$ ; Reflexive

Question 10

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\overline{TM}\cong\overline{ME}$$ ; Midpoint Theorem

Answer

$$\overline{IM}\cong\overline{MR}$$ ; Midpoint Theorem

Answer

$$\angle I\cong\angle R$$ ; Alternate Interior

Answer

$$\overline{MI}\cong\overline{MR}$$ ; Prove

Question 11

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\angle RME\cong\angle IMT$$ ; Vertical

Answer

$$\overline{MI}\cong\overline{MR}$$ ; Prove

Answer

$$\angle RME\cong\angle IMT$$ ; Reflexive

Answer

$$\overline{IM}\cong\overline{MR}$$ ; Midpoint Theorem

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