Questions: Let triangle ABC ≅ triangle GHK in the figure to the right. List the corresponding angles. List the corresponding angles. angle A and angle angle B and angle angle C and angle

Let triangle ABC ≅ triangle GHK in the figure to the right. List the corresponding angles. List the corresponding angles. angle A and angle angle B and angle angle C and angle
Transcript text: Let $\triangle \mathrm{ABC} \cong \triangle \mathrm{GHK}$ in the figure to the right. List the corresponding angles. List the corresponding angles. $\angle \mathrm{A}$ and $\angle$ $\square$ $\angle \mathrm{B}$ and $\angle$ $\square$ $\angle \mathrm{C}$ and $\angle$ $\square$
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Solution

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Solution Steps

Step 1: Identify the given triangles

We are given two triangles, \( \triangle ABC \) and \( \triangle GHK \), which are congruent.

Step 2: Understand congruence

Since \( \triangle ABC \cong \triangle GHK \), all corresponding angles and sides of these triangles are equal.

Step 3: Match corresponding angles

To list the corresponding angles, we need to match each angle in \( \triangle ABC \) with its corresponding angle in \( \triangle GHK \).

  • \( \angle A \) corresponds to \( \angle H \)
  • \( \angle B \) corresponds to \( \angle K \)
  • \( \angle C \) corresponds to \( \angle G \)

Final Answer

  • \( \angle A \) and \( \angle H \)
  • \( \angle B \) and \( \angle K \)
  • \( \angle C \) and \( \angle G \)
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