AAS Criteria for Congruency

Q.

In the figure given below, AD and BC are equal and perpendicular to the same line segment AB. CD cuts AB at O. Then the relation between OC and OD is _____ .

1. $OD$ = $\frac{1}{2}$ $OC$

2. OD = OC

3. OD > OC

4. OD < OC

Q.

If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other.

Using the above statement, choose which two congruency criteria eventually becomes same.

1. AAS and SAS

2. AAS and ASA

3. SAS and ASA

4. No two congruency criteria are same

Q.

Consider the figure and choose the correct option.

1. $\Delta ABC\cong \Delta DEF$

2. $\Delta ABC\cong \Delta DFE$

3. $\Delta ABC\cong \Delta FED$​

4. $\Delta ABC$ $≆$ $\Delta FED$​

Q.

In two triangles; if a pair of corresponding angles and a side are equal, then the triangles are necessarily congruent.

1. True

2. False

Q.

The theorem which describes "Two angles and the included side of two triangles are congruent" is:

1. AAS Theorem

2. SAS Postulate

3. SSS Postulate

4. ASA Postulate

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 SAA postulate

4. CD = CE

Q.

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

1. $x=5,y=8$

2. $x=7,y=6$

3. $x=5,y=7$

4. $x=7,y=8$

Q.

In the given figure, AB and CD intersect at O. If AC = DB and $\angle ACO=\angle DBO$ then which of the following is true ?

1. $△AOC\cong △DOB$ by AAS postulate

2. $△AOC\cong △DOB$ by SAA postulate

3. AO = DO

4. O is midpoint of CD

Q.

In the given figure, if $\angle BAD=\angle CAD,\angle ABD=\angle ACD,$ then which of the following is false?

1. $△ABD\cong △ACD$ by SAS postulate

2. $△ABD\cong △ACD$ by AAS postulate

3. AB = AC

4. BD = CD

Q.

In the given figure, if $\angle BAD=\angle CAD,\angle ABD=\angle ACD,$ then which of the following is true ?

1. $△ABD\cong △ACD$ by SAA postulate

2. $△ABD\cong △ACD$ by AAS postulate

3. AB = AC

4. BD = CD