Question

question 1 (6 points)
match the description of each triangle with its classification.

column a

1. ___ a triangle with three equal sides.
2. ___ a triangle with two equal sides.
3. ___ a triangle with no equal sides.
4. ___ a triangle with all angles less than 90°.
5. ___ a triangle with one angle equal to 90°.
6. ___ a triangle with one angle greater than 90°.

column b
a. scalene triangle
b. isosceles triangle
c. equilateral triangled. acute triangle
e. obtuse triangle
f. right triangle

Explanation:

1. An equilateral triangle is defined as a triangle with three equal sides, so 1 matches c.
2. An isosceles triangle has two equal sides, so 2 matches b.
3. A scalene triangle has no equal sides, so 3 matches a.
4. An acute triangle has all angles less than \(90^\circ\), so 4 matches d.
5. A right triangle has one angle equal to \(90^\circ\), so 5 matches f.
6. An obtuse triangle has one angle greater than \(90^\circ\), so 6 matches e.

Answer:

1. c. Equilateral Triangle
2. b. Isosceles Triangle
3. a. Scalene Triangle
4. d. Acute Triangle
5. f. Right Triangle
6. e. Obtuse Triangle