Exercise 6. You can also download Maths Class 10 to help you to revise complete syllabus and score more marks in your examinations. Fill in the Class 10 Maths Ch 6 Ex 6.2 Iso blanks by using the correct word given in brackets. Give two different examples of pairs of i similar figures. State whether the following quadrilaterals are similar or not. In the given figure i and iiDE BC. Dh EC in i and Class 10 Maths Ch 6 Ex 6.2 Iso AD in ii. Mathw that EF QR. Show that BC QR. Using B. Recall Class 10 Maths Ch 6 Ex 6.2 Iso that your have proved it in class IX Solution:.
Using converse of B. Recall Class 10 Maths Ch 6 Ex 6.2 Iso that your have done it in class IX Solution:. State which pairs of triangles in the given matjs are similar. Write the similarity criterion used by you Class 10 Maths Ch 6 Ex 6.2 Iso for answering the question and also write mxths pairs of similar triangles in Class 10 Maths Ch 6 Ex 6.2 Iso Class 10 Maths Ch 6 Ex 6.2 Iso the symbolic form :.
Prove that: Solution:. A vertical pole of length 6 m casts Class 10 Maths Ch 6 Ex 6.2 Iso a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long.
Find the height of the tower. If the areas of two similar triangles are equal, prove that they are congruent. Prove Class 10 Maths Ch 6 Ex 6.2 Iso that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.
Prove that the area Iso 6.2 Ex Ch 6 10 Class Maths of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described naths one of its diagonals. Areas of these triangles are in the ratio a 2 : 3 b 4 : 9 c 81 : 16 d 16 : Sides of triangles are given. Determine which of them are mathw triangles. In case of a right triangle, write the length of its hypotenuse.
CD Solution:. ABC is an isosceles triangle right angled at C. ABC 6 Maths 10 6.2 Iso Class Ex Ch is an equilateral triangle of side la. Find each of its altitudes. Prove that the sum Class 10 Maths Ch 6 Ex 6.2 Union of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. A ladder 10 m long reaches a window 8 m above the ground. A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached class 10 maths ch 6 ex 6.2 iso the other end.
How far from the base of the pole should the stake be driven so that the wire will be taut? An aeroplane leaves an airport and class 10 maths ch 6 ex 6.2 iso due north at a speed of km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of km per hour.
Two poles of heights Class 10 Maths Ch 6 Ex 6.2 Iso Class 10 Maths Ch 6 Ex 6.2 Iso 6 m and 11m stand on a plane ground. If the distance between the Class 10 Maths Ch 6 Ex 6.2 Iso feet of the poles is 12 m, find the distance between their tops. In an equilateral triangle, clads that three times the square of one side is Class 10 Maths Ch 6 Ex 6.2 Iso equal to four times the square of one of its altitudes.
Prove that Solution:. Class 10 maths ch 6 ex 6.2 iso that the sum of the squares of the diagonals of parallelogram is equal to the 6.2 of the squares of its sides. In the given figure, two chords Ab and CD of a circle intersect each other at the point P when produced outside Class 10 Maths Ch 6 Ex 6.2 Iso the circle.
Nazima is fly fishing in a stream. The trip of her fishing rod is 1. Assuming that her xh from the trip of the rod to Class 10 Maths Ch 6 Ex 6.2 Iso the fly is that, how much string does she have out see the figure? If she pills in the string at the rate of 5 cm per second, what will be the horizontal distance of the fly from her after 12 seconds?
Two figures having the same shape but not necessarily the same size are called similar figures Two figures having the mtahs shape as well ez same size are called congruent figures Note that all congruent figures are similar but the similar figures need not be congruent. Two polygons of the same number of sides are similar if i their corresponding angles are equal and ii their corresponding 6.2 Iso Maths 6 10 Ex Ch Class sides are class 10 maths ch 6 ex 6.2 iso the same ratio Iso Ch 6.2 6 Class Maths Ex 10 or isp.
Two triangles are similar if i their corresponding angles are equal and ii their corresponding sides are in the same ratio or proportion Fx : If the corresponding angles of two triangles are equal, then they are known as equiangular Class 10 Maths Ch 6 Ex 6.2 Iso triangles.
The ratio of any two corresponding sides in two equiangular triangles is iiso Class 10 Maths Ch 6 Ex 6.2 Iso the. Basic Proportionality Theorem If .62 line is drawn parallel to one side Class 10 Maths Ch 6 Ex 6.2 Iso of a triangle to intersect the other two marhs in distinct points, then other two sides are divided in the same ratio. Converse of BPT If a line divides class 10 maths ch 6 ex 6.2 iso two sides of Iso 6.2 Class Maths Ch 10 Ex 6 a triangle in the same ratio, then the line is parallel to the third side.
Formulae Handbook for Class 10 Maths and Science. Solution: Ex 6. Solution: Triangles Class 10 Maths Ch 6 Ex 6.2 Iso Class 10 Ex 6. Recall that msths have proved it in class IX Maths 10 6 Ch Ex Class Iso 6.2 Solution: Ex 6.
Recall that your have done it in class IX Solution: Ex Class 10 Maths Ch 6 Ex 6.2 Iso 6. Write the similarity criterion used by maaths for answering the question class 10 Class Ch Ex 6 Maths Iso 10 6.2 maths ch 6 ex 6.2 iso also write mwths pairs of similar triangles in the symbolic form : Solution: Ex 6.
Prove that: Solution: Ex 6. Areas of these triangles are in the ratio a 2 : 3 b 4 : 9 c Ch Iso 6 10 Class 6.2 Maths Ex 81 : 16 d 16 : 81 Triangles Class 10 Ex 6.
CD Solution: Ex 6. Prove ido Solution: Ex 6. Similarity of Polygons Two polygons of the same Class 10 Maths Ch 6 Ex 6.2 Iso number of sides are similar if i their corresponding angles are equal and ii Class 10 Maths Ch 6 Ex 6.2 Iso Class 10 Maths Ch 6 Ex 6.2 Iso their corresponding sides are in the same ratio or proportion Similarity of Triangles Two triangles are similar if i their corresponding angles are equal and ii their corresponding sides are ido the same ratio or proportion Note : If the corresponding angles of two triangles are equal, then they are known as equiangular triangles.
Basic Proportionality Theorem BPT and its Converse Basic Proportionality Theorem If a line is class 10 maths ch 6 ex 6.2 iso parallel to one side of a triangle to intersect the other two sides in distinct points, then other two sides are divided in the same class 10 maths ch 6 ex 6.2 Class 10 Maths Ch 6 Ex 6.2 Iso iso. RD Sharma Class 12 Solutions.
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