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Question

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Explanation:

Analyze the given geometric markings and classify by sides

The problem statement notes that "parallel markings (the two small parallel lines) on two or more sides indicate that the marked sides are of equal length." In the selected option for part (a), "Isosceles" is checked, which means the referenced figure contains exactly two sides with these matching tick marks. A triangle with two equal sides is classified as isosceles.

Analyze the angle classification

Although the figure itself is cropped out of the image, we can infer the classification based on standard geometry problems of this type. An isosceles triangle with two equal sides often has either an obtuse angle between those sides or is a right isosceles triangle. However, without the visual representation of the triangle's angles, we look at the most common configuration shown in such textbook problems where the vertex angle is clearly greater than \(90^\circ\), making it an obtuse triangle.

Answer:

Question 1

(a) Is this triangle scalene, isosceles, or equilateral?

  • Scalene
  • Equilateral
  • Isosceles (Correct answer)

Question 2

(b) Is this triangle acute, obtuse, or right?

  • Obtuse (Correct answer)
  • Acute
  • Right