Name the triangle.
Understand the Problem
The question is asking to identify the type of triangle shown in the image, based on its properties, such as its sides and angles.
Answer
The triangle is an isosceles and right triangle.
Answer for screen readers
The triangle is an "isosceles and right" triangle.
Steps to Solve
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Identify the triangle type by angles This triangle has one angle marked as a right angle (90 degrees). This classification means the triangle is a right triangle.
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Identify the triangle type by sides The triangle has two equal segments shown by the short lines on the vertical side, indicating that it has two sides of equal length. Therefore, the triangle can be classified as isosceles.
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Combining angle and side classifications Since the triangle is identified as having one right angle and two sides of equal length, it can be named as "isosceles and right."
The triangle is an "isosceles and right" triangle.
More Information
In any triangle, the classification can be based on two main properties: the lengths of the sides and the measurements of the angles. An isosceles triangle has at least two sides of equal length, while a right triangle has one angle measuring 90 degrees.
Tips
- Confusing the angle types: Often, students may misidentify right angles as acute. Remember, a right triangle specifically has one angle that is exactly 90 degrees.
- Misidentifying the equality of sides: It's easy to overlook the markings that indicate two equal sides. Always check for such markings.
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