Determine if triangle CD E and triangle FGH are or are not similar, and, if they are , state how you know (Note that figures are NOT necessarily drawn to scale.)

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Determine if triangle CD E and triangle FGH are or are not similar, and, if they are , state how you know (Note that figures are NOT necessarily drawn to scale.)

Answer 1

To determine if triangles \(CDE\) and \(FGH\) are similar, we need to compare their angles. Similar triangles have the same shape but not necessarily the same size. This means that all corresponding angles are equal, and the sides are proportional.From the picture details, we know the following angles for triangle \(FGH\):∠H = 34°∠G = 49°Since the sum of angles in any triangle is 180°, we can find the measure of angle F:∠F = 180° - ∠H - ∠G∠F = 180° - 34° - 49°∠F = 180° - 83°∠F = 97°Now we have all the angles for triangle \(FGH\):∠H = 34°∠G = 49°∠F = 97°However, we do not have the angles for triangle \(CDE\) provided in the question or the picture details. Without the angles of triangle \(CDE\), we cannot compare them to the angles of triangle \(FGH\) to determine if they are similar.Since we do not have the necessary information about triangle \(CDE\), we cannot conclude whether triangles \(CDE\) and \(FGH\) are similar. Additional information about the angles or sides of triangle \(CDE\) would be required to make this determination.Final Answer: With the given information, we cannot determine if triangles \(CDE\) and \(FGH\) are similar.

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Determine if triangle CD E and triangle FGH are or are not similar, and, if they are , state how you know (Note that figures are NOT necessarily drawn to scale.)

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