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Mathematics

Study the graph and answer the following questions :

Study the graph and answer the following questions : Practice Test ICSE Mathematics Class 10.

(i) Write down the co-ordinates of A, B and C.

(ii) Reflect A, B and C in origin and mark the points as F, E and D respectively. Write down the co-ordinates of D, E and F.

(iii) Is BC and DE parallel ? Justify your answer.

Reflection

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Answer

A = (-3, 1), B = (0, 3), C = (-2, -2); D = (2, 2), E = (0, -3), F = (3, -1); yes, as slope of BC and DE are equal.

Reason

From graph,

Study the graph and answer the following questions : Practice Test ICSE Mathematics Class 10.

Co-ordinates of A = (-3, 1), B = (0, 3), C = (-2, -2), D = (2, 2), E = (0, -3), F = (3, -1)

By formula,

Slope = y2−y1x2−x1\dfrac{y2 - y1}{x2 - x1}

Slope of BC = −2−3−2−0=−5−2=52\dfrac{-2 - 3}{-2 - 0} = \dfrac{-5}{-2} = \dfrac{5}{2}

Slope of DE = −3−20−2=−5−2=52\dfrac{-3 - 2}{0 - 2} = \dfrac{-5}{-2} = \dfrac{5}{2}

We know that,

Slope of parallel lines are equal.

Slope of BC = Slope of DE.

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