Congruent, neither, or similar worksheet - Free Printable
Educational worksheet: Congruent, neither, or similar worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Congruent, neither, or similar worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Congruent, neither, or similar worksheet
To solve this worksheet, we need to understand the difference between congruent and similar shapes.
* Congruent: The shapes are exactly the same size and shape. You can slide, flip, or turn one, and it will fit perfectly on top of the other.
* Similar: The shapes have the same shape (same angles), but they are different sizes (one is bigger or smaller than the other).
* Neither: The shapes are different in shape (different number of sides, different angles, etc.).
Let's go through each problem step by step:
1) Two purple crosses. They look like the exact same size and shape.
* Answer: Congruent
2) Two orange L-shapes. One is clearly larger than the other, but they have the same shape.
* Answer: Similar
3) Two purple arrow-heads pointing at each other. If you flipped one over, it would match the other perfectly. They are the same size.
* Answer: Congruent
4) Two grey hexagons. One is much bigger than the other. Same shape, different size.
* Answer: Similar
5) Two pink curved arrows. They curve the same way and appear to be the same size.
* Answer: Congruent
6) Two blue arrows. One points down, one points up. Even though they point different ways, if you turned one upside down, it would be the same size and shape as the other.
* Answer: Congruent
7) Two green trapezoids. One is tall and wide, the other is short and narrow. They are not just scaled versions of each other; their proportions are different.
* Answer: Neither
8) A square and a rectangle. A square has 4 equal sides. A rectangle has 2 long and 2 short sides. They are different shapes.
* Answer: Neither
9) Two orange semi-circles. They look identical in size and shape.
* Answer: Congruent
10) Two purple curved arrows. One curves right, one curves left. If you flipped one horizontally, it would match the other. They are the same size.
* Answer: Congruent
11) A triangle and a pentagon-like shape. One has 3 sides, the other has 5 sides. Completely different shapes.
* Answer: Neither
12) Two yellow triangles. One looks like an equilateral triangle (all sides equal), the other looks like a right-angled triangle. Their angles are different.
* Answer: Neither
13) Two beige squares. They look like the exact same size.
* Answer: Congruent
14) Two yellow parallelograms. They look like the exact same size and slant.
* Answer: Congruent
15) Two stars. One is a standard 5-point star. The other is a "skinny" 5-point star with very sharp points. Their angles are different.
* Answer: Neither
16) Two moon shapes. One is a full crescent moon. The other is just a thin slice. They are different shapes.
* Answer: Neither
Final Answer:
1) Congruent
2) Similar
3) Congruent
4) Similar
5) Congruent
6) Congruent
7) Neither
8) Neither
9) Congruent
10) Congruent
11) Neither
12) Neither
13) Congruent
14) Congruent
15) Neither
16) Neither
* Congruent: The shapes are exactly the same size and shape. You can slide, flip, or turn one, and it will fit perfectly on top of the other.
* Similar: The shapes have the same shape (same angles), but they are different sizes (one is bigger or smaller than the other).
* Neither: The shapes are different in shape (different number of sides, different angles, etc.).
Let's go through each problem step by step:
1) Two purple crosses. They look like the exact same size and shape.
* Answer: Congruent
2) Two orange L-shapes. One is clearly larger than the other, but they have the same shape.
* Answer: Similar
3) Two purple arrow-heads pointing at each other. If you flipped one over, it would match the other perfectly. They are the same size.
* Answer: Congruent
4) Two grey hexagons. One is much bigger than the other. Same shape, different size.
* Answer: Similar
5) Two pink curved arrows. They curve the same way and appear to be the same size.
* Answer: Congruent
6) Two blue arrows. One points down, one points up. Even though they point different ways, if you turned one upside down, it would be the same size and shape as the other.
* Answer: Congruent
7) Two green trapezoids. One is tall and wide, the other is short and narrow. They are not just scaled versions of each other; their proportions are different.
* Answer: Neither
8) A square and a rectangle. A square has 4 equal sides. A rectangle has 2 long and 2 short sides. They are different shapes.
* Answer: Neither
9) Two orange semi-circles. They look identical in size and shape.
* Answer: Congruent
10) Two purple curved arrows. One curves right, one curves left. If you flipped one horizontally, it would match the other. They are the same size.
* Answer: Congruent
11) A triangle and a pentagon-like shape. One has 3 sides, the other has 5 sides. Completely different shapes.
* Answer: Neither
12) Two yellow triangles. One looks like an equilateral triangle (all sides equal), the other looks like a right-angled triangle. Their angles are different.
* Answer: Neither
13) Two beige squares. They look like the exact same size.
* Answer: Congruent
14) Two yellow parallelograms. They look like the exact same size and slant.
* Answer: Congruent
15) Two stars. One is a standard 5-point star. The other is a "skinny" 5-point star with very sharp points. Their angles are different.
* Answer: Neither
16) Two moon shapes. One is a full crescent moon. The other is just a thin slice. They are different shapes.
* Answer: Neither
Final Answer:
1) Congruent
2) Similar
3) Congruent
4) Similar
5) Congruent
6) Congruent
7) Neither
8) Neither
9) Congruent
10) Congruent
11) Neither
12) Neither
13) Congruent
14) Congruent
15) Neither
16) Neither
Parent Tip: Review the logic above to help your child master the concept of congruent and similar shapes worksheet.
