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A( 4, 1 ), B(2,3) and C( 5,6) Are the Vertices of a Figure Which is Symmetrical About X=7. Complete the Figure and Give the Geometrical Name of the Figure If Any. - Mathematics

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प्रश्न

A( 4, 1 ), B(2,3) and C( 5,6) are the vertices of a figure which is symmetrical about x=7. Complete the figure and give the geometrical name of the figure if any. 

योग

उत्तर

Steps of construction: 

(i) Plot the point A, B and Con the graph. 

(ii) Point symmetric to A( 4, 1) about x = 7 is D( 10, 1) 

(iii) Point symmetric to B(2,3) about x = 7 is E( 12, 3) 

(iv) Point symmetric to C(S,6) about x = 7 is F(9,6) 

(v) Join AB, AC, BC, AD, DE, DF, EF and CF. 

The figure formed is a trapezium ADCF with two equal scalene triangles (ABC and DEF) attached to it. 

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अध्याय 14: Symmetry - Exercise 14.1

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 14 Symmetry
Exercise 14.1 | Q 6
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