Introduction to Curves

Q. In the figure BD = DC and $\angle DBC={25}^{\circ }$. What is the value of $\angle BAC$?

1. ${100}^{\circ }$
2. ${50}^{\circ }$
3. ${90}^{\circ }$
4. ${30}^{\circ }$

Q. Tap the items which are available inside a Geometry Box.

1. Scale
2. silver
3. magnet
4. gold
5. set-squares
6. dividers
7. compass
8. protector

Q. One angle of a cyclic quadrilateral measures 60 degrees. The angle opposite to it is:

1. 60 degree
2. 120 degree
3. 90 degree
4. 180 degree

Q.

In the given figure, if $\angle AOC={130}^{\circ },$ then the value of $\angle ABC$ = _______.

1. ${95}^{\circ }$

2. ${115}^{\circ }$

3. ${50}^{\circ }$

4. ${100}^{\circ }$

Q.

In the given figure, ABCD and ABEF are two cyclic quadrilateral. If $\angle BCD={110}^{\circ }then\angle BEF=?$

Q. In the given figure, $\angle BAD={75}^o$, $\angle DCF=x^o$ and $\angle DEF=y^o$. Find the values of $x$ and $y$.

Q.

In the adjoining figure, if $\angle QPR={60}^{\circ }$ and $\angle SPR={70}^{\circ }$, then $\angle QRS$= ___.

1. ${50}^{\circ }$

2. ${70}^{\circ }$

3. ${60}^{\circ }$

4. ${65}^{\circ }$

Q. One angle of a cyclic quadrilateral measures 60 degrees. The angle opposite to it is:

1. 60 degree
2. 120 degree
3. 90 degree
4. 180 degree

Q. In the parallelogram $ABCD$, the dissectors of $\angle A$ and $\angle B$ meet $CD$ at the point $E$. The length of the side $BC$ is $2cm$. Find the length of the side $AB$ ?

Q.

Question 7
Write True or False and justify your answer :
ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°

Q. One angle of a cyclic quadrilateral measures 60 degrees. The angle opposite to it is:

1. 180 degree
2. 120 degree
3. 60 degree
4. 90 degree

Q. Tap the items which are available inside a Geometry Box.

1. compass
2. Scale
3. magnet
4. dividers
5. gold
6. silver
7. protector
8. set-squares

Q. If the sum of two adjacent angles is ${180}^o$, then the ________arms of the two angles are opposite rays this statement is called the _______ axiom.

1. Non-common, Non-linear pair
2. Non-common, linear pair
3. Common, linear pair
4. Common, Non-linear pair

Q. In the given figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If $\angle DBC={55}^{\circ }$ and $\angle BAC={45}^{\circ }$, then $\angle BCD$ = ___ .

1. ${80}^{\circ }$
2. ${70}^{\circ }$
3. ${60}^{\circ }$
4. ${90}^{\circ }$

Q. Question 11
If a line is drawn parallel to the base of an isosceles triangle to intersect its equal sides, prove that the quadrilateral, so formed is cyclic.

Q. if $OCD$ is an isosceles triangle in which $OD$ and $OC$ are equal, and its included angle is ${40}^o$ then what will be the value of $\angle OCD$?

1. ${70}^o$
2. ${50}^o$
3. ${65}^o$
4. ${45}^o$

Q.

In the adjoining figure, if $\angle QPR={60}^{\circ }$ and $\angle SPR={70}^{\circ }$, then $\angle QRS$= ___.

Q. Tap the items which are available inside a Geometry Box.

1. protector
2. compass
3. dividers
4. gold
5. Scale
6. set-squares
7. magnet
8. silver

Q. In the given figure, ABCD is a rectangle, PQRS is a parallelogram and TUVR is a rhombus, DQM is a straight line. Then find (i) $\angle QPS$, (ii) $\angle PQD$, (iii) $\angle MQN$

1. (i) ${45}^0$, (ii) ${98}^0$, (iii) ${105}^0$
2. (i) ${36}^0$, (ii) ${42}^0$, (iii) ${121}^0$
3. (i) ${75}^0$, (ii) ${46}^0$, (iii) ${121}^0$
4. (i) ${70}^0$, (ii) ${43}^0$, (iii) ${105}^0$

Q.

In the given figure, if $\angle AOC={130}^{\circ },$ then the value of $\angle ABC$ = _______.

1. ${95}^{\circ }$

2. ${115}^{\circ }$

3. ${50}^{\circ }$

4. ${100}^{\circ }$