Quiz about PROPERTIES OF EQUALITY/CONGRUENCE

Question 1

Which of the following shows the reflexive property of congruence?

Accepted Answer

$$AB\cong AB$$

Answer

$$IfAB\cong BD,then\ BD\cong AB.$$

Answer

$$If\ X\cong Y\ and\ Y\cong Z$$

$$then\ X\cong Z$$

Question 2

Name the property which justifies the given conclusion.

Given: LV = 23

Conclusion: LV + 5 = 28

Accepted Answer

Addition Property of Equality

Answer

Division Property of Equality

Answer

Multiplication Property of Equality

Answer

Multiplication Property of Equality

Question 3

What property of congruence is illustrated in the statement:

$$If\ AB\cong DE,\ and\ DE\cong EF,\ then\ AB\cong EF.$$

Accepted Answer

Transitive

Answer

Reflexive

Answer

Substitution

Answer

Symmetric

Question 4

Which is an example of the symmetric property of equality?

Accepted Answer

$$IfA=B,\ then\ B=A.$$

Answer

Answer

$$A=B\ and\ B=C,$$

$$then\ A=C.$$

Answer

If A = B, B can be used for all A

Question 5

Name the property of equality which justifies the following conclusion.

GIVEN : JM + 5 = 23

CONCLUSION: JM = 18

Accepted Answer

Subtraction Property

Answer

Addition Property

Answer

Division Property

Answer

Multiplication Property

Question 6

If AB = 8, and AC = AB + BC, then AC = 8 + BC.

What property of equality is illustrated?

Accepted Answer

Substitution

Answer

Reflexive

Answer

Symmetric

Answer

Transitive

Question 7

What property of congruence is illustrated in the statement:

$$"If\ GH\cong IJ,\ IJ\cong KL,\ then\ GH\cong KL"?$$

Accepted Answer

Transitive

Answer

Multiplication

Answer

Substitution

Answer

Reflexive

PROPERTIES OF EQUALITY/CONGRUENCE