WXYZ is a square. A is a point on WX such that WNA:AX is in the ratio 3:2 Y W a) Use a ruler and pair of compasses to construct the perpendicular to the line segment ZY passing through A. B is the point at which the perpendicular meets ZY. Label it on the diagram. b) The area of the square is 100 cm2 Work out the area of rectangle ABYX. cm?

The base of right pyramid ABCDF is rhombus ABCD. Segment FK is the altitude of the pyramid. The angle between the lateral edge FB and FK is 36°. Find the area and the perimeter of BFD if the length of is 10 cm. Round your the smaller diagonal BD cm². answer to the nearest cm F A D A ~ cm ABFD P cm ABKD 2 C

Construct a parallelogram ABCD with E midway between C and D. Let F be the intersection of AC with segment BE. Determine the following ratios of lengths and areas and explain how you found them. a. The ratio of AF to that of FC b. The ratio of the area of AAFB to ACFE

ABCD is a parallelogram and EF is parallel to AB. Select all triangles are similar to triangle AEX? 12 cm 8 cm D 2cm E A Triangle CDA Triangle CFX O Triangle XFC Triangle CBA Triangle ADC X C F B 4