Choose the correct Options
0 of 15 Questions completed
Questions:
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
0 of 15 Questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score 

Your score 

If one angle of a parallelogram is fivesevenths of its adjacent angle then find all the angles of the parallelogram.
Sum of adjacent angles of a parallelogram is 180°. Let one angle be and other angle will be .
(1)
Therefore, angles of the parallelogram are 105°, 75°, 105° and 75°.
PQRS is a rhombus having side PQ = 29 cm and diagonal QS = 40 cm. Find the length of the diagonal PR.
Let the point of intersection of diagonals be K. Use Pythagoras theorem to find the length of KP.
(1)
Therefore, length of the diagonal PR is 42 cm.
In a quadrilateral FGHK, sum of angles F and G is 150°. The angles H and K are in the ratio 3:4. Find the measure of angle H.
Sum of all angles of a quadrilateral is 360°. Let the angle H be and then angle K will be .
(1)
Therefore, angle H is 90°.
The measure of two opposite angles of a parallelogram are \( 8x20 \) and \( 5x+13 \). Find the value of \( x \).
Opposite angles of a parallelogram are equal.
(1)
Lengths of diagonals of a rhombus are 126 cm and 32 cm. Find the length of the side of the rhombus.
Diagonals of rhombus are perpendicular bisectors. Let the length of the side of rhombus be .
(1)
The angles of a quadrilateral taken in order are in the ratio 1:9:3:7. What type of quadrilateral is it?
Sum of all angles of a quadrilateral is 360°. The measure of angles can be written as and .
(1)
The angles are 18°, 162°, 54° and 126°. The adjacent angles are supplementary but it is clear that opposite angles are not equal. Therefore, the shape is a trapezium.
The diagonals of a parallelogram FGHK bisect each other at the point P. What type of triangle is FGP?
The lengths of the diagonals of a rectangle are equal. So the sides FP and GP are equal. Diagonals of a rectangle do not bisect each other at 90°. So the triangle formed is isosceles but not right angle.
What is the figure formed by joining the mid points of the sides of a rectangle?
The sides of the figure formed are equal and opposite sides are parallel. Also the diagonals bisect at 90°. So it is a rhombus.
The measure of two adjacent angles of a parallelogram are \( 7k36^{\circ} \) and \( 5k+21^{\circ} \). Find the value of \( k \).
Sum of adjacent angles of a rhombus is 180°.
(1)
In a quadrilateral FGHK \( \angle F + \angle G = 160^{\circ} \) and \( \angle F : \angle H = 2:3 \) and \( \angle G : \angle K = 10:11 \). Find the measure of all four angles.
We can write and . Therefore, we can form equations
(1)
After solving the equations we will get . Therefore all the angles are 60°, 100°, 90° and 110°.
Which of the following statement is correct?
All rectangles are not squares because the adjacent lengths are not equal in rectangle. All kites are not parallelograms because the opposite sides are not parallel and equal. All rhombuses are parallelograms because opposite sides are equal and parallel in it.
In a triangle FGH, a line PQ is formed by joining mid points of FG and GH. The length of PQ is 6.4 cm. What is the length of GH?
GH is twice in length as compared to PQ. Therefore the length of GH is 12.8 cm.
Which of the following statement is not correct?
A square is not a trapezium because trapezium has a pair of parallel sides and a pair of nonparallel sides and the square has 2 pairs of parallel sides.
In a quadrilateral FGHK \( \angle F = 42^{\circ} \) and \( \angle G = 2 \angle F\) and \( \angle H = 4 \angle F\). Find the measure of \( \angle K\).
(1)
KLMN is a rectangle and its diagonals bisect at the point P as shown in the following figure. Find the measure of \( \angle PMN\).
(1)