Side-Side-Side Similarity Theorem | Examples

Criteria for similarity OF triangles || Condition OF two triangles be similar-: All angles OF both triangles equal || Ratio OF corresponding sides on equal || AAA similarity || AA similarity || SAS similarity || Examples

Side Side Side(SSS) Congruence: Two triangles are congruent if the three sides of one triangle are equal to the corresponding three sides of the other triangle.

Basic proportionality Theorem or Thales Theorem - If a line is drawn parallel to one side of a triangle intersecting the other two sides; then it divides the two sides in the same ratio.

Construct a triangle of sides 4cm,5cm and 6cm and then a triangle similar to it where sides are (2)/(3) of the corresponding sides of the first triangle.

SSS Similarity Criterion : If the corresponding sides of two triangles are proportional;then they are similar

SAS Similarity Criterion: If in two triangle; one pair of corresponding sides are proportional and the included angles are equal then two triangles are similar.

Thales theorem is given by a greek mathematician. According to this theorem, if a line is drawn parallel to one side of a triangle then it divides the other two sides in the same ratio. This theorem is also known as Basic Proportionality Theorem. Here, the value of x is :

Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 2/3 of the corresponding sides of the first triangle.

Fill in the blanks using the correct word given in brackets: Two triangles are similar, if their corresponding angles are ...... (proportional, equal) Two triangles are similar, if their corresponding sides are ....... (proportional, equal) (iii) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding sides are ........ (equal, proportional).

Two polygons of the same number of sides are similar, if their corresponding angles are …………….. . (equal, proportional)