Question

Which statement about these figures on the grid is true?

1. Figures B and C are congruent.


2. Figures A and D are congruent.


3. Figures A and B are congruent.


4. Figures C and D are congruent.

Answer 1

Answer:4

Explanation:

this is because the figures are similar in shape.

Answer 2

The correct option is 2.

Explanation:

Two figure are congruent if their corresponding sides are congruent or the corresponding angles are congruent.

Let detentions of each both is 1×1.

The measure measurements of figure A are

1 unit, 3 unit, √2 unit, 1 units, 1 units,√2 unit

The measure measurements of figure B are

1 unit, 2 unit, √2 unit, 2 units, 1 units,√2 unit

The measure measurements of figure C are

3 unit, 2 unit, √2 unit, 1 units,√2 unit

The measure measurements of figure D are

1 unit, 3 unit, √2 unit, 1 units, 1 units,√2 unit

The measurements of figure A and D are same.

Since the corresponding measure of figures A and D are same, therefore figures A and D are congruent.

The correct option is 2.