Question

cool down! write a congruence statement for each pair of congruent figures.

Explanation:

Step1: Identify corresponding vertices

For the first pair of pentagons:

• Match the vertices of the first pentagon \(LMNOP\) with the second pentagon \(AYHFS\).
• \(L\) corresponds to \(A\), \(M\) corresponds to \(Y\), \(N\) corresponds to \(H\), \(O\) corresponds to \(F\), \(P\) corresponds to \(S\).

Step2: Write the congruence statement

Using the order of corresponding vertices, the congruence statement is \(\text{LMNOP}\cong\text{AYHFS}\).

Step3: Identify corresponding vertices for the second pair of quadrilaterals

For the quadrilaterals \(DEFC\) and \(XUVW\):

• \(D\) corresponds to \(X\), \(E\) corresponds to \(U\), \(F\) corresponds to \(V\), \(C\) corresponds to \(W\).

Step4: Write the congruence statement

The congruence statement is \(\text{DEFC}\cong\text{XUVW}\).

Step5: Identify corresponding vertices for the third pair of triangles

For the triangles \(OMN\) and \(TEU\):

• \(O\) corresponds to \(T\), \(M\) corresponds to \(E\), \(N\) corresponds to \(U\).

Step6: Write the congruence statement

The congruence statement is \(\text{OMN}\cong\text{TEU}\).

Answer:

\(\text{LMNOP}\cong\text{AYHFS}\), \(\text{DEFC}\cong\text{XUVW}\), \(\text{OMN}\cong\text{TEU}\)