Find the length of EF, if AB = 5cm and CA = 7cm, given that AD is the line of symmetry for the figure.

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 the same as 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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Similar questions

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

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Find the length of EF, if AB = 5cm and CA = 7cm, given that AD is the line of symmetry for the figure.

The correct option is B 2cmSince AD is the line of symmetry, the part of the figure to the right of this line is the same as 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 the same as 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.