To identify the type of each triangle, we look at two things:
1.
Angles: Does it have a right angle (90 degrees)? If yes, it's a
Right triangle. If all angles are less than 90, it's
Acute. If one angle is greater than 90, it's
Obtuse.
2.
Sides: Are all sides different lengths? That’s
Scalene. Are two sides the same length? That’s
Isosceles. Are all three sides the same length? That’s
Equilateral.
*Note: An Equilateral triangle is also technically Isosceles, but in these problems, if all sides are marked the same, we usually call it Equilateral.*
Here is the step-by-step identification for each number:
1)
Right Scalene: It has a square symbol for a right angle. The sides are labeled a, b, and c, which usually implies they are all different lengths.
2)
Acute Scalene: No right angle symbol. The sides a, b, and c look different, and no tick marks indicate equality. All angles appear to be less than 90 degrees.
3)
Acute Scalene: Similar to #2. No right angle, sides labeled differently (a, b, c).
4)
Obtuse Scalene: The top angle is clearly wider than 90 degrees (obtuse). Sides are labeled a, b, c.
5)
Obtuse Scalene: Same as #4. Wide top angle, different side labels.
6)
Acute Isosceles: Two sides are labeled 'b', meaning they are equal. The third is 'a'. All angles look sharp (acute).
7)
Right Isosceles: It has a right angle symbol. The two legs are both labeled 'a', meaning they are equal length.
8)
Obtuse Isosceles: The top angle is very wide (obtuse). The two long sides are both labeled 'b', making them equal.
9)
Acute Equilateral: All three sides are labeled 's', meaning they are all equal. This makes it equilateral (and therefore acute).
10)
Acute Equilateral: All three sides are labeled 's'. Same as #9.
11)
Acute Isosceles: Two sides are labeled 'b'. The triangle is tall and narrow, so the angles are acute.
12)
Right Scalene: It has a right angle symbol. The sides are a, b, and c, implying different lengths.
Final Answer:
1) Right Scalene
2) Acute Scalene
3) Acute Scalene
4) Obtuse Scalene
5) Obtuse Scalene
6) Acute Isosceles
7) Right Isosceles
8) Obtuse Isosceles
9) Acute Equilateral
10) Acute Equilateral
11) Acute Isosceles
12) Right Scalene
Parent Tip: Review the logic above to help your child master the concept of types of triangle worksheet.
