Question

Which statement listed below illustrates the reflexive property of congruence

Answer 1

Option D:

$\triangle K L M \cong \triangle K L M$

Solution:

Reflexive property of congruence:

Reflexive property of congruence means the geometric figure is congruent to itself.

Option A: If $\triangle K L M \cong \triangle P Q R \text { and } \triangle P Q R \cong \triangle S T U \text { , then } \triangle K LM\cong \triangle S T U$

From the definition of reflexive property, it is not true.

This is transitive property of congruence triangles.

Therefore it is false.

Option B: $\text { If } \triangle KL M \cong \triangle P Q R \text { , then } \triangle P Q R \cong \triangle S T U \text$

From the definition of reflexive property, it is not true.

Therefore it is false.

Option C: $\text { If } \triangle K L M \cong \triangle P Q R \text { , then } \triangle P Q R \cong \triangle K L M$

From the definition of reflexive property, it is not true.

Therefore it is false.

Option D: $\triangle K L M \cong \triangle K L M$

Here, ΔKLM is congruent to itself.

This statement illustrates the reflexive property of congruence for triangles.

Therefore, it is true.

Hence option D is the correct answer.

Answer 2

Answer:

C. If KLM= PQR, then PQR = KLM

Step-by-step explanation:

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