Chapter 3 – Understanding Quadrilaterals

143. A playground in the town is in the form of a kite. The perimeter is 106 metres. If one of its sides is 23 metres, what are the lengths of other three sides? 143. A playground in the town is in the form of a kite. The perimeter is 106 metres. If one of [...]

142. Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason. 142. Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape [...]

141. Two sticks each of length 5 cm are crossing each other such that they bisect each other. What shape is formed by joining their end points? Give reason. 141. Two sticks each of length 5 cm are crossing each other such that they bisect each other. What shape is formed by joining their end [...]

140. The ratio between exterior angle and interior angle of a regular polygon is 1:5. Find the number of sides of the polygon. 140. The ratio between exterior angle and interior angle of a regular polygon is 1:5. Find the number of sides of the polygon. July 18, 2021 Category: Chapter 3 - Understanding Quadrilaterals [...]

139. The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1:2. Can it be a parallelogram? Why or why not? 139. The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1:2. Can it be a parallelogram? Why or why not? July 17, 2021 [...]

138. The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°. Find the measures of all angles of the parallelogram. 138. The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°. Find the measures of all angles of the parallelogram. July 17, 2021 Category: Chapter 3 - [...]

137. A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle? Why or why not? 137. A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle? Why or why not? July 17, 2021 [...]

136. PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2:3. Find ∠TPQ. 136. PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2:3. Find ∠TPQ. July 17, 2021 Category: Chapter 3 - Understanding Quadrilaterals , Chapter 4 - Practical Geometry [...]

135. In a rectangle ABCD, AB = 25 cm and BC = 15. In what ratio does the bisector of ∠C divide AB? 135. In a rectangle ABCD AB = 25 cm and BC = 15. In what ratio does the bisector of ∠C divide AB? July 17, 2021 Category: Chapter 3 - Understanding Quadrilaterals [...]

134. Of the four quadrilaterals— square, rectangle, rhombus and trapezium— one is somewhat different from the others because of its design. Find it and give justification. 134. Of the four quadrilaterals— square rectangle rhombus and trapezium— one is somewhat different from the others because of its design. Find it and give justification. July 17, 2021 [...]