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#2 iName the property that the statement illustrates.If ZDEFZJKL and ZJKL ZRST, then ZDEF ZRST.The statement illustrates thePrevious12Reflexive Property of Angle CongruenceSymmetric Property of Angle CongruenceTransitive Property of Angle CongruenceReflexive Property of EqualitySymmetric Property of EqualityTransitive Property of Equality

#2 iName the property that the statement illustrates.If ZDEFZJKL and ZJKL ZRST, then-example-1
User Narcy
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1 Answer

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GIVEN:

We are given the following details of congruent angles;


\begin{gathered} \angle DEF\cong\angle JKL \\ \\ And; \\ \\ \angle JKL\cong\angle RST \end{gathered}

Required;

Identify the correct statement represented by the equations given.

Step-by-step solution;

We observe the following;

Angle DEF is congruent to angle JKL

Also, angle JKL is congruent to angle RST.

We can therefore conclude that the first angle DEF is also congruent to angle RST.

Applying the transitive property of congruence, if one pair of angles (DEF and JKL) are congruent to a third angle (RST), then the first angle (angle DEF) is congruent to the third angle (angle RST).

In other words,


\angle DEF\cong\angle RST

Therefore, we can conclude the following,

ANSWER:

The statement illustrates the "transitive property of angle congruence."

User Yihui Sun
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