congruence statements
complete the congruence statement for each pair of triangles.
1)
2)
3)
4)
5)

Question

Accepted Answer

# Explanation:
## Step1: Identify corresponding vertices for $\triangle ABC$ and $\triangle DEF$
In $\triangle ABC$ and $\triangle DEF$, $\angle A=\angle D = 90^{\circ}$, the sides with one mark ( $AC = DE$),  the sides with two marks ($AB=DF$). So $A$ corresponds to $D$, $B$ corresponds to $F$, $C$ corresponds to $E$.
## Step2: Identify corresponding vertices for $\triangle UVW$ and $\triangle ZXY$
In $\triangle UVW$ and $\triangle ZXY$, the sides with one mark ($UV = ZX$), the sides with two marks ($UW=ZY$), the sides with three marks ($VW = XY$). So $U$ corresponds to $Z$, $V$ corresponds to $X$, $W$ corresponds to $Y$.
## Step3: Identify corresponding vertices for $\triangle PQR$ and $\triangle TSR$
In $\triangle PQR$ and $\triangle TSR$, the sides with one mark ($PQ=TS$), the sides with two marks ($PR = TR$), $\angle QPR=\angle STR$. So $P$ corresponds to $T$, $Q$ corresponds to $S$, $R$ corresponds to $R$.
## Step4: Identify corresponding vertices for $\triangle KLM$ and $\triangle EGF$
In $\triangle KLM$ and $\triangle EGF$, the sides with one mark ($KL=EG$), the sides with two marks ($KM = EF$), $\angle K=\angle E$. So $K$ corresponds to $E$, $L$ corresponds to $G$, $M$ corresponds to $F$.

# Answer:
1. $\triangle ABC\cong\triangle DFE$
2. $\triangle UVW\cong\triangle ZXY$
3. $\triangle PQR\cong\triangle TSR$
4. $\triangle KLM\cong\triangle EGF$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify corresponding vertices for \(\triangle ABC\) and \(\triangle DEF\)

Step2: Identify corresponding vertices for \(\triangle UVW\) and \(\triangle ZXY\)

Step3: Identify corresponding vertices for \(\triangle PQR\) and \(\triangle TSR\)

Step4: Identify corresponding vertices for \(\triangle KLM\) and \(\triangle EGF\)

Answer: