Select the correct option(s) about the congruency of the angles.

All the angles in a regular polygons are congruent.

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If two angles are said to be congruent, then they must have same measure.

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In an isosceles triangle, two angles are congruent.

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In a scalene triangle, any angle is congruent to other.

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Solution

The correct options are
A All the angles in a regular polygons are congruent.
B If two angles are said to be congruent, then they must have same measure.
C In an isosceles triangle, two angles are congruent.
If two angles are said to be congruent, then they must have the same measure.

In a regular polygon, all the angles are equal, so they are congruent.

In an isosceles triangle, two angles opposite to the equal sides are equal, so they are congruent.

In a scalene triangle, no angle is equal, so they are not congruent to any angle.

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Similar questions

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

State, true or false :
(i) Two similar polygons are necessarily congruent.
(ii) Two congruent polygons are necessarily similar.
(iii) All equiangular triangles are similar.
(iv) All isosceles triangles are similar.
(v) Two isosceles-right triangles are similar.
(vi) Two isosceles triangles are similar if an angle of one is congruent to the corresponding angle of the other.
(vii) The diagonals of a trapezium divide each other into proportional segments.

Q. Fill in the blanks:

(i) Two lines segments are congruent if they have ...... .
(ii) Two angles are congruent if they have ...... .
(iii) Two squares are congruent if they have ...... .
(iv) Two circles are congruent if they have ...... .
(v) Two rectangles are congruent if they have ...... .
(vi) Two triangles are congruent if they have ...... .

If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other.

Using the above statement, choose which two congruency criteria eventually becomes same.

Q. If all the three corresponding angles of any two triangles are equal then the triangles are said to be congruent.

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