Kerala Board Solutions for Chapter: Similar Triangles, Exercise 3: Exercise 3

Author:Kerala Board

Kerala Board Mathematics Solutions for Exercise - Kerala Board Solutions for Chapter: Similar Triangles, Exercise 3: Exercise 3

Attempt the free practice questions on Chapter 7: Similar Triangles, Exercise 3: Exercise 3 with hints and solutions to strengthen your understanding. Standard 9 Mathematics Part - 1 solutions are prepared by Experienced Embibe Experts.

Questions from Kerala Board Solutions for Chapter: Similar Triangles, Exercise 3: Exercise 3 with Hints & Solutions

MEDIUM
9th Kerala Board
IMPORTANT

The picture shows two circles with the same centre and two triangles formed by joining the centre to the points of intersection of the circles with two radii of the larger circle:

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Prove that these triangles are similar.

MEDIUM
9th Kerala Board
IMPORTANT

The lines joining the circumcentre of a triangle to the vertices are extended to meet another circle with the same centre, and these points are joined to make another triangle.

Question Image

Prove that the two triangles are similar.

MEDIUM
9th Kerala Board
IMPORTANT

The lines joining the circumcentre of a triangle to the vertices are extended to meet another circle with the same centre, and these points are joined to make another triangle.

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Prove that the scale factor of the sides of the triangle is the scale factor of the radii of the circles.

HARD
9th Kerala Board
IMPORTANT

A point inside a quadrilateral is joined to its vertices and the lines are extended by the same scale factor. Their ends are joined to make another quadrilateral.

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Prove that the sides of the two quadrilateral are scaled by the same factor.

HARD
9th Kerala Board
IMPORTANT

A point inside a quadrilateral is joined to its vertices and the lines are extended by the same scale factor. Their ends are joined to make another quadrilateral.

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Prove that the angles of the two quadrilaterals are the same.