Similarity questions | form two Basic Mathematics

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#	Question
1	PXQ and RXS are straight lines and PR is parallel to SQ. Calculate PX and RX if PR=XQ = 18 cm, XS = 9 em and SQ = 12 cm. Mathematical Calculation
2	Find the length of $ar{AC}$ in the figure below if $ar{BD}$ =5cm, $ar{DC}$ =5cm and $ar{DE}$ =3cm. Mathematical Calculation
3	The middle angle of a triangle exceeds the ,smallest angle by 20° and the largest angle is twice the middle angle. Find the size of the largest angle. Mathematical Calculation
4	With reference to figure 3 below, calculate the length of segment $ar{CE}$ Mathematical Calculation
5	In the diagram below ,show that the $frac{AD}{AB} =frac{CD}{AC}$ Mathematical Calculation
6	The volumes of two similar cylinders is 125cm³and 512cm³. If the radius of the larger cylinder is 8cm, find the radius of the smaller cylinder. Mathematical Calculation
7	Show whether triangles PQR and ABC are similar or not Find the relationship between y and x in the triangles given above. Mathematical Calculation
8	If polygons X and Y are similar and their areas are 16cm² and 49cm² respectively, what is the length of a side of polygon Y if the corresponding side of polygon X is 28cm? Mathematical Calculation
9	In the figure below, calculate the length BD Mathematical Calculation
10	The ratio of the areas of two similar polygons is 144 : 225. If the length of a side of the smaller polygon is 60cm, find the length of the corresponding side of the other polygon. Mathematical Calculation