suppose $ \triangle ith \cong \triangle apg $.
which congruency statement is true?
$ \overline { i t } \cong \overline { a g } $
$ \overline { t h } \cong \overline { a g } $
$ \overline { i h } \cong \overline { a g } $
$ \overline { t h } \cong \overline { a p } $

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Accepted Answer

# Explanation:
## Step1: Recall congruent triangle properties
When $\triangle ITH\cong\triangle APG$, corresponding parts are congruent. That is, $I$ corresponds to $A$, $T$ corresponds to $P$, and $H$ corresponds to $G$.
## Step2: Analyze each option
- For $\overline{IT}\cong\overline{AG}$: $IT$ corresponds to $AP$ (not $AG$), so this is false.
- For $\overline{TH}\cong\overline{AG}$: $TH$ corresponds to $PG$ (not $AG$), so this is false.
- For $\overline{IH}\cong\overline{AG}$: Since $I$ corresponds to $A$ and $H$ corresponds to $G$, by the property of congruent triangles, $\overline{IH}$ (side between $I$ and $H$) corresponds to $\overline{AG}$ (side between $A$ and $G$).
- For $\overline{TH}\cong\overline{AP}$: $TH$ corresponds to $PG$ (not $AP$), so this is false.

# Answer:
$\overline{IH}\cong\overline{AG}$ (the option $\overline{IH}\cong\overline{AG}$ is true)

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QUESTION IMAGE

Question

Explanation:

Step1: Recall congruent triangle properties

Step2: Analyze each option

Answer: