Question

name the corresponding angles and the corresponding sides for pairs of similar triangles shown to the right. choose the correct answer below to complete each statement. ∠p and ∠
∠h and ∠
∠poh and ∠
ph and

Explanation:

Step1: Recall similar - triangle properties

In similar triangles, corresponding angles are equal and corresponding sides are in proportion. By observing the orientation of the two similar triangles, we can match the angles and sides.

Step2: Identify corresponding angles

For the angles:

• $\angle P$ corresponds to the angle in the other triangle with the same relative position. Looking at the similar - triangle setup, $\angle P$ and the non - right angle in the other triangle at the bottom left are corresponding. So $\angle P$ and $\angle O$ (assuming the non - right angle at the bottom left of the other triangle is labeled $\angle O$).
• $\angle H$ corresponds to the non - right angle in the other triangle at the bottom right. So $\angle H$ and $\angle H$ (assuming the non - right angle at the bottom right of the other triangle has the same label due to similarity).
• $\angle POH$ (the right angle) corresponds to the right angle in the other triangle. So $\angle POH$ and the right angle in the other triangle.

Step3: Identify corresponding sides

For the sides:

• Side $PH$ corresponds to the hypotenuse of the other triangle. If we assume the hypotenuse of the other triangle is labeled with endpoints similar to the naming convention, $PH$ and the hypotenuse of the other triangle.

Answer:

$\angle P$ and $\angle O$
$\angle H$ and $\angle H$
$\angle POH$ and the right - angle in the other triangle
$PH$ and the hypotenuse of the other triangle