To solve this problem, we need to look at each triangle and decide which category it fits into based on its sides and angles.
Step 1: Understand the Definitions
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Equilateral: All three sides are the same length. It looks perfectly symmetrical.
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Isosceles: Two sides are the same length. It often looks like a tall, narrow tent or an arrowhead.
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Scalene: All three sides are different lengths. It looks "lopsided" or uneven.
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Right-angled: Has one corner that is a perfect square corner (90 degrees), like the corner of a book or a piece of paper.
Step 2: Analyze Each Triangle
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Triangle A: All three sides look exactly the same length. This is
Equilateral.
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Triangle B: One corner looks like a perfect square corner (bottom left). The other two sides are different lengths. This is
Right-angled.
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Triangle C: Two long sides look equal, and the bottom side is short. This is
Isosceles.
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Triangle D: All three sides appear to be different lengths. It is tilted and uneven. This is
Scalene.
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Triangle E: All three sides look equal in length, similar to A but rotated. This is
Equilateral.
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Triangle F: All three sides look equal in length. This is
Equilateral.
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Triangle G: The two slanted sides look equal in length, making it symmetrical. This is
Isosceles.
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Triangle H: One corner (top right) looks like a perfect square corner. This is
Right-angled.
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Triangle J: All three sides are clearly different lengths. The bottom is long, the left is medium, and the right is short. This is
Scalene.
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Triangle K: The two top sides look equal in length. This is
Isosceles.
Step 3: Match to the Table
Now we group the letters by their type to fill in the table rows.
1.
Equilateral (Three equal sides): Triangles
A, E, F
2.
Isosceles (Two equal sides): Triangles
C, G, K
3.
Scalene (All three sides different): Triangles
D, J
4.
Right angled (Has one right angle): Triangles
B, H
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Final Answer:
Type of triangle: Equilateral
Properties: Three equal sides
Letter:
A, E, F
Type of triangle: Isosceles
Properties: Two equal sides
Letter:
C, G, K
Type of triangle: Scalene
Properties: All three sides different
Letter:
D, J
Type of triangle: Right angled
Properties: Has one right angle
Letter:
B, H
Parent Tip: Review the logic above to help your child master the concept of different types of triangles worksheet.
