In the figure given below, AB || DC || EF, AD || BC and ED || FA. Prove that: Area of DEFH = Area of ABCD
10. In the figure given alongside, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right triangle ABC.
IF BH is perpendicular is FG, prove that :
(ii) Area of the square ABDE = Area of the rectangle ARHF.
9. In the given figure, AP is parallel to BC, BP is parallel to CQ. Prove that the areas of triangles ABC and BQP are equal.
Q.6. In the figure given below, ABC is an equilateral triangle in which P and S are the mid-points of arcs AB and AC respectively. Prove that: PQ = QR = RS.
In the figure given below, AB || DC || EF, AD || BC and ED || FA. Prove that: Area of DEFH = Area of ABCD
6. (i) Draw a rectangle ABCD with base 4 cm and diagonal BD = 5 cm. Measure CB. Take any point P on AD. Join BP. From C draw a line parallel to BP to meet AP produced at Q.
(ii) What type of quadrilateral is PBCQ ?
(iii) Prove that the area of the rectangle ABCD is equal to that of the figure PBCQ.
(iv) Prove that the area of the triangle PBC is half the area of the rectangle ABCD.