Geometric twin

Why is learning about geometric twins important?

1. It is useful only in mathematics examinations.
2. It helps students understand congruence, transformations, symmetry, and applications in engineering, architecture, art, and design.
3. It replaces arithmetic completely.
4. It has no practical value.

Which statement about geometric twins is correct?

1. They may differ in size.
2. They always have different shapes.
3. They are identical in size and shape.
4. They must have the same colour.

Why are congruent figures important in construction?

1. They increase costs.
2. They ensure identical parts fit together correctly.
3. They reduce measurements.
4. They make buildings colourful.

Which branch of mathematics mainly studies congruent figures?

1. Arithmetic
2. Geometry
3. Statistics
4. Probability

If two figures are congruent, what can be said about their corresponding sides?

1. They are unequal.
2. They are equal in length.
3. They are always curved.
4. They do not exist.

Which real-life object best demonstrates congruent shapes?

1. Two identical floor tiles
2. A football and a notebook
3. A coin and a ruler
4. A triangle and a rectangle

Which property is NOT necessary for congruence?

1. Equal shape
2. Equal size
3. Equal corresponding angles
4. Same colour

What happens if a congruent figure is rotated?

1. It changes its size.
2. It changes its shape.
3. It remains congruent.
4. It disappears.

Which of the following figures can never be congruent?

1. Two squares with side 5 cm
2. Two circles with radius 4 cm
3. A square and a circle
4. Two triangles with equal sides and angles

Which symbol is used to represent congruence?

1. =
2. ≅
3. ∥
4. ⊥

If two triangles have exactly equal sides and equal angles, they are:

1. Similar only
2. Congruent
3. Parallel
4. Intersecting

Which transformation does NOT change the size or shape of a figure?

1. Rotation
2. Reflection
3. Translation (sliding)
4. All of the above

Which of the following pairs is most likely to be geometric twins?

1. Two identical ₹10 coins
2. A square and a rectangle
3. A circle and a triangle
4. Two rectangles of different sizes

Two figures are called congruent if they have:

1. The same colour
2. The same size and shape
3. The same perimeter only
4. The same area only

What are geometric twins?

1. Shapes that are exactly the same in size and shape
2. Shapes that have the same colour only
3. Shapes that have different sizes and shapes
4. Shapes with no sides