Planimetry - practice problems - page 9 of 72
Number of problems found: 1438
- Three 237
Three vertices of a rectangle have the coordinates (5, 3), (5, -1), (-1, -1). What are the coordinates of the fourth vertex of the rectangle? - Quadrilateral angles in AP
The four angles of a quadrilateral form an arithmetic progression. If the common difference is 15°, then find all the angles. - The square - midpoints
The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD. - A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude. - The area 5 The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
- Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - An orange
An orange Grove has 858 trees. There are 33 rows, each with the same number of trees. How many trees are in each row - A triangle 10 A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)?
- Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - The angles 5
The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles. - Colour
The square is divided into 100 squares. If you needed to color 49%, how many squares would you color? - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 ) - Share 5
Share 30 oranges between Shola and Ade in the ratio 2:3. Find Shola's share and Ade's share. - Parallel lines - dist
Find the distance between the parallel lines 3x − 4y + 7 = 0 and 3x − 4y + 5 = 0. - Angle over circle
In the figure, O is the centre of the circle and AB is tangent to the circle at B. If angle OAB is 28°, find angle AOB. The figure is not to scale. - Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles. - Circle graph
Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle with side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - LS and y-axis intersection
In what ratio is the line segment joining P (5, 3) and Q (–5, 3) divided by the y-axis? Also, find the coordinates of the intersection point. - The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one.
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