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00:00 - 00:59 | in the given figure triangle are another respectively the medians of triangle ABC and triangle pqr respectively if triangle ABC is similar to triangle pqr prove that triangle ABC is similar to triangle pqr is equal to PQ third triangle sea and be similar to triangle and q at start so given triangle ABC is similar to triangle pqr with this angle A is equal to Angle B and angle b is equal to angle Q angle C is equal to angle of all we have to prove that triangle EMC is similar to Triangle pqr |

01:00 - 01:59 | pqr angle A is equal to Angle B and angle C is equal to angle angle triangle E MC is similar to triangle pqr angle rule proof CM by R L is equal to 3 by 3 Cube triangle ABC is similar to triangle pqr CM by R is equal to a b by P Q by corresponding |

02:00 - 02:59 | side of similar triangle property CM BC is similar to triangle and q is similar to triangle pqr angle C is equal to angle to show angle C is similar to triangle sorry similar to triangle are and cube by angle angle |

03:00 - 03:59 | similarity rule |

**What we already learned in previous classes**

**How similarity is different from congruence.**

**Similar Polygons**

**Similar Triangles and their properties**

**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.**

**If in a `DeltaABC`; a line DE||BC; intersects AB in D and AC in E; Then `AB`/
`AD` = `AC`/`AE`**

**Converse of Basis proportionality theorem : If a line divides any two sides of a triangle in the same ratio; then the line must be parallel to the third side.**

**The internal angle bisector of an angle of a triangle divide the opposite side internally in the ratio of the sides containgthe angle**

**If a line through one vertex of a triangle divides the opposite sides in the Ratio of other two sides; then the line bisects the angle at the vertex.**

**The external angle bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.**