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1.

Write the converse statement of the following statement : If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other . Also state whether the converse statement is true .

Answer» Converse statement " if the diagonals of a quadrilateral are perpendicular bisectors of each other than if is rhombus. The converse statement is ture.
Discussion
2.

`square` PQRS is a rhombus and `anglePQS=42^@` , then find `angle` PQR. Justify .

Answer» `angle PQR =84^@ ` . QS bisects `angle PQR`.
Discussion
3.

Write the following statement in conditional form : Angles in a linear pair are supplementary .

Answer» Stament in conditionla from : If the angles are in alinear pair then they are supplementaruy.
Discussion
4.

If d(A,B) =5 , d(B,D)=3 and d(A,D)=8 then decide whether in between exists among the points A, B and D . If so,decide which point lies between the other two .

Answer» in between exists, A-B-D
Discussion
5.

`square` ABCD is a parallelogram of AB =4 cm , BC =5 cm, then find AD and DC . State your reason .

Answer» AD =5 cm and DC =4 cm .
Discussion
6.

Write the antecedent and the consequent part the following statement : The diagonals parallelogram bisect each other .

Answer» Atecedent" The quadrilateral is parallelogram. Consequent. The diagonals bisect each other .
Discussion
7.

In the figure , write the alternate exterior angle of `angle`d and corresponding angle of `angle`c .

Answer» Alternate exterior angle of `angle d` is `angle g` and corresponding angle of `angle c is angle h`.
Discussion
8.

In `triangle ABC, angle ABC =90^@` `angle BAC =45^@ ` and AC =4`sqrt(2) cm`, then find AB.

Answer» Answer: AB =4 cm .
Discussion
9.

In `triangle FAN, angle F= 80 ^@ , angle A=40^@` . Find out the greatest and the smallest side of the triangle. State the reason.

Answer» AN is the largest side . FN is the smallest side .
Discussion
10.

In a circle of radius of 6 cm , there are two chords of length 10 cm and 11 cm . Find out which chord will be nearer to centre.

Answer» Chord of length 11 cm will be nearer to the centre .
Discussion
11.

Observe the figure and find which angle of `triangle` PQR is congruent to `angle` YXZ and which side of `triangle` PQR is congruent to seg YZ . Justify .

Answer» `angleQRP ~=angle YXZ` (c.a.c.t)
seg PQ `~=`seg YZ(c.s.c.t.)
Discussion
12.

In `triangle PQR , PQ =10` cm , QR =12 , PR =8 cm . Find out the greatest and the smallest angle of the triangle .

Answer» `angle QPR` is the gratest angle , `angle PQR` is the smallest angle.
Discussion
13.

In `triangle` XYZ, XY =4cm , YZ =6 cm , XZ =5 cm. If `triangle` XYZ `triangle PQR ` and PQ =8 cm then find QR and PR.

Answer» QR =12 cm, PR =10 cm,
Discussion
14.

In the figure ,segPQ || seg SR and PQ =SR =5 cm . If QR =10 cm , then find PS . Justify your answer.

Answer» PS =10 cm , [`because` PQ =SR and seg PQ || seg SR `therefore square` PQRS is a parallelogram .
Discussion