While solving the puzzle Sonali remembered she had homework to do. Her homework was to find the length of EF if AB =5cm and CA= 7cm, given that AD is the line of symmetry for the figure. Help her finish her homework quickly.

1cm

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2cm

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3cm

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1.5cm

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Solution

The correct option is B
2cm

Since AD is the line of symmetry, the part of the figure to the right of this line is equal to the part of the figure to the left of it. Therefore, AB= AE=5cm, and CA= FA = 7cm.Hence EF= FA -AE i.e. EF= 7-5= 2cm.

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While solving the puzzle Sonali remembered she had homework to do. Her homework was to find the length of EF if AB =5cm and CA= 7cm, given that AD is the line of symmetry for the figure. Help her finish her homework quickly.

The correct option is B 2cm Since AD is the line of symmetry, the part of the figure to the right of this line is equal to the part of the figure to the left of it. Therefore, AB= AE=5cm, and CA= FA = 7cm.Hence EF= FA -AE i.e. EF= 7-5= 2cm.

The correct option is B
2cm

Since AD is the line of symmetry, the part of the figure to the right of this line is equal to the part of the figure to the left of it. Therefore, AB= AE=5cm, and CA= FA = 7cm.Hence EF= FA -AE i.e. EF= 7-5= 2cm.