#### State whether the following statements are true (T) or false (F):

(i) All circles are congruent.

(ii) Circles having equal radii are congruent.

(iii) Two congruent triangles have equal areas and equal perimeters.

(iv) Two triangles having equal areas are congruent.

(v) Two squares having equal areas are congruent.

(vi) Two rectangles having equal areas are congruent.

(vii) All acute angles are congruent.

(vii)All right angles are congruent.

(ix) Two figures are congruent if they have the same shape.

(x) A two rupee coin is congruent to a five rupee coin.

(xi) All equilateral triangles are congruent.

(xii) Two equilateral triangles having equal perimeters are congruent.

(xii) If two legs of one right triangle are equal to two legs of another right angle triangle, then the two triangles are congruent by SAS rule.

(xiv) If three angles of two triangles are equal, then triangles are congruent.

(xv) If two sides and one angle of one triangle are equal to two sides and one angle of another triangle, then the triangle are congruent.

**Solution:**

**More Solutions:**

- Write all the corresponding congruent parts of the triangles.
- The lengths of the sides of the triangles are indicated.
- If, AB = 5 cm, AC = 5 cm, BD = 2.5 cm and CD = 2.5 cm
- In the given figure, AB = AC and D is the mid-point.
- The measures of some parts of the triangles are indicated.
- You want to show that ΔART = ΔPEN