Correct Answer - Option 1 : Both I and II
Congruent Figures: Two plane- figures (figures drawn in a plane) are said to be congruent if the traced copy of one coincides with the other exactly. To make the work logical, we will give some definitions and some conditions under which figures (triangles) become congruent. The symbol that represents is congruent to is ≅.
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Congruence of line-segments: If the lengths of two line segments are equal, then the line segments are said to be congruent. Thus two congruent line segments are of equal in length.
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Congruence of angles: Two angles are congruent if their measures are equal. Thus two congruent angles have equal measures.
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Congruence of triangles: Two triangles are said to be congruent if their all sides and angles are equal corresponding to the other triangle’s all sides and angles. There are four ways in which a triangle can be proved or said congruent.
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SSS (Side-Side-Side) Rule: It is when we are given that all the three sides of one triangle are equal to three sides of another triangle correspondingly.
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SAS (Side-Angle-Side) Rule: It states that two sides and the angle included between those sides of one triangle are equal to two sides and the angle included between them of the other triangle.
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ASA (Angle-Side-Angle) Rule: If the two angles and one side between them of one triangle is equal to the corresponding angles and side, the triangle is said to be congruent.
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AAS (Angle-Angle-Side) Rule: It states that if two consecutive angles and one adjacent side of a triangle is equal to two consecutive angles and one adjacent side of another triangle.
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Right- Hand Side (RHS) Rule: It states that if in two right-angled triangles, the length of the hypotenuse and one of the sides of one triangle is equal to the length of the hypotenuse and one of the sides of another triangle, the triangle is said to be congruent.
Hence, we conclude that both statements are true.
