congruent triangles summary

SAS Axiom: - If two triangles have two sides of one equal to two sides of the other, each to each, and angles included by these sides are equal, then the triangles are congruent..

Enlargement or Dilatation If D PQR is the image of D ABC (Pre image) and K is the enlargement factor, If K = 1 the triangles are congruent. The ratio of their areas is K 2 (SAS similarity) If a pair of corresponding angles are equal and the sides including them a..

Congruent Triangles - When two triangles have (i) the same shape, and (ii) the same size, then they are said to be congruent triangles. Symbol for congruency is Draw with AB = 4 cm, AC = 5 cm, and . Also with DE = 4 cm, DF = 5 cm and Draw these ..

Every geometric figure has a shape and a size. Two circles of different radii have the same shape but their sizes are different. But if we draw two circles of the same radius both the shape and size will be the same. Such figures with the same shape and size are called congruent fig..

Choose a triangle that is congruent to the triangle shown. => Figure 3 or Figure 4 or Figure 1 or Figure 2..

If two sides of a triangle are equal, the angles opposite to them are equal. If two angles of a triangle are equal, the sides opposite to these angles are equal..

The difference between any two sides of a triangle is less than the third sid..

If two sides of a triangle are unequal, then the greater angle is opposite to the greater side. If two angles of a triangle are unequal, the greater side is opposite to the greater angle. Of all the line segments that can be drawn to a given straight line from a point outsid..

(S.S.S Similarity) : If three pairs of corresponding sides are proportional, then the two triangles are simila..

Midpoint Theorem : The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third sid..