The diagram shows a rectangle with a line of symmetry at $$\(x=2\)$$. Two vertices of the rectangle are at $$\((-1,1)\)$$ and $$\((-1,4)\)$$. The shaded region is defined by the inequalities $$\(a \leqslant x \leqslant b\)$$ and $$\(c \leqslant y \leqslant d\)$$. Find the values of $$\(a, b, c\)$$ and $$\(d\)$$. $$\[ \begin{gathered} a= ................................................ \\ b= ................................................ \\ c= ................................................ \\ d= ................................................ \end{gathered} \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_21 Year:2020 Question No:11

Answer:

\({[a=]-1 }\)
\({[b=] 5 }\)
\({[c=] 1 }\)
\({[d=] 4 }\)

Knowledge points:

E3.3 Calculate the length and the coordinates of the midpoint of a straight line from the coordinates of its end points.

Solution:

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