ASA Rule

Q.

In the given figure $\angle$ ADB = $\angle$ CDB. If BD bisects $\angle$ ABC, then which of the following is true ?

1. AB = CD
2. $△ABD\cong △CBD$ by SSS postulate
3. $△ABD\cong △CBD$ by SAS postulate
4. $△ABD\cong △CBD$ by ASA postulate

Q.

In the figure, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If $\angle APR={25}^{\circ },\angle RQC={30}^{\circ }$ and $\angle CQF={65}^{\circ },$ then

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

1. 15
2. 20
3. 25
4. 30

Q. Prove that △ACD ≅ △BDC. Also find the side of △BDC that corresponds to side AC.

Q. In the given figure, AC = CE and AB||ED. Using this information, find the value of $x$.

(3 marks)

Q.

Using the information given in the figure, the values of x and y are ________.

1. $x=15,y={100}^{\circ }$

2. $x=20,y={100}^{\circ }$

3. $x=60,y={25}^{\circ }$

4. $x=20,y={25}^{\circ }$

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

1. 15
2. 20
3. 25
4. 30

Q.

In the given figure, BD bisects $\angle ABC$ and BD is perpendicular to AC. If the lengths of the sides of the triangle are expressed in terms of x and y as shown, then x = ___ and y = ___.

1. $x=3,y=7$

2. $x=9,y=14$

3. $x=3,y=14$

4. $x=-3,y=-7$

Q. If three angles of one triangle are equal to three angles of other traingle then, the two triangles are congruent.

1. False
2. True

Q.

For what value of $x$ will $△ABC\cong △XYZ$ ?

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

2. $x={30}^{\circ }$

3. $x={70}^{\circ }$

4. $x={80}^{\circ }$

Q.

OX bisects $\angle AOB$. C is any point on OX. If $CD\perp OA$ and $CE\perp OB$, then which of the following is true?

1. $△COD\cong △COE$ by AAS postulate
2. $△COD\cong △COE$ by RHS postulate
3. $△COD\cong △COE$ by ASA postulate
4. CO = DO = EO