ASA

Q. Question 5 (ii)
Line l is the bisector of an angle $\angle AandB$ is any point on l. BP and BQ are perpendiculars from B to the arms of $\angle A$ (see the given figure). Show that:
BP = BQ or B is equidistant from the arms of $\angle A.$

Q. Question 4
I and m are two parallel lines intersected by another pair of parallel lines p and q (see the given figure). Show that $\Delta ABC\cong \Delta CDA.$

Q. In the given figure ABCD is a parallelogram. If P is a point on the diagonal, which of the following is true?

1. $ar\left(△APD\right)=ar\left(△APB\right)$
2. $ar\left(△APD\right)=ar\left(△PDC\right)$
3. $ar\left(△APD\right)=ar\left(△BPC\right)$
4. $ar\left(△CPD\right)=ar\left(△APB\right)$

Q.

In the given figure, l $\parallel$ m and M is the mid-point of the line segment AB. Which of the following options are correct?

1. $MC=DM$
2. $DM=MB$
3. $AM=MC$
4. $DM=AM$

Q. Question 4
I and m are two parallel lines intersected by another pair of parallel lines p and q (see the given figure). Show that $\Delta ABC\cong \Delta CDA.$

Q. $\text{In parallelogram}ABCD,AP\text{and}CQ\text{are perpendicular to diagonal}BD.\text{It can be proved that:}\text{Statement 1:}\Delta APB\cong \Delta CQD,\text{Statement 2: RHS congruence is applied}$

1. Both statements are correct
2. Both statements are false
3. Statement 1 is correct but 2 is false
4. Statement 1 is false but 2 is correct

Q. In Fig X and Y are two points on equal sides AB and AC of a $\Delta ABC$ such that AX=XY. Prove that XC = YB.

Q. In Fig X and Y are two points on equal sides AB and AC of a $\Delta ABC$ such that AX=XY. Prove that XC = YB.

Q. In the given figure, if $\angle x=\angle y$ and AB = CB, then AE is _____.

1. less than CD
2. greater than CD
3. equal to CD
4. data insufficient

Q.
In the given figure, AC = CE and AB $\parallel$ ED. The value of $x$ is ___ units.

Q.
In the given figure, AC=CE and AB||ED. The value of $x$ is ___ units.

Q.

In the given figure if BE = CF, then which of these following options is correct?

1. $\Delta ABE\cong \Delta ACF$

2. $\Delta ABC\cong \Delta AFC$

3. $\Delta ABC\cong \Delta ACF$

4. $\Delta ABE\cong \Delta CAF$

Q. $\text{In parallelogram}ABCD,AP\text{and}CQ\text{are perpendicular to diagonal}BD.\text{Statement 1:}\Delta APB\cong \Delta CQD\text{Statement 2: SSS congruence is applied}$


Pick the correct option.

1. Both statements are correct
2. Both statements are false
3. Statement 1 is correct but 2 is false
4. Statement 1 is false but 2 is correct

Q. I and m are two parallel lines intersected by another pair of parallel lines p and q (see the given figure). Show that $\Delta ABC\cong \Delta CDA.$

Q.
In the given figure, AC=CE and AB||ED. The value of $x$ is ___ units.