AAS Postulate

Q.

In right triangles ABC and DEF, if hypotenuse AB = hypotenuse EF and side AC = side DE, then △ABC is congruent to

1. △DEF

2. △FED

3. △EFD

4. △EDF

Q.

The diagonals of a parallelogram ABCD intersect at O. A line through O intersects AB at X and DC at Y. Prove that OX = OY. [4 MARKS]

Q.

In parallelogram ABCD, AP and CQ are perpendicular to diagonal BD.
It can be proved that $\Delta$APB $\cong$ $\Delta$CQD.

1. True

2. False

Q. In $△ABC$ and $△XYZ$, if BC = YZ, $\angle ABC=\angle XYZ$ and $\angle ACB=\angle XZY,$, then by which postulate is $△ABC\cong △XYZ$ ?

Q.

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

1. $x=5,y=8$

2. $x=5,y=7$

3. $x=7,y=6$

4. $x=7,y=8$

Q. Diagonals of a parallelogram bisect each other.

1. Not sure
2. No
3. Sometimes
4. Yes

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 SAA postulate

2. AO = DO

3. O is midpoint of CD

4. $△AOC\cong △DOB$ by AAS postulate

Q.

In the given $AD=BE$ and $\angle DAB=\angle EBA$. Then $\Delta DAB\cong \Delta EBA$ by AAS postulate.

1. True

2. False

Q.

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

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

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

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

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

Q. In a $\Delta ABC,\angle C=3\angle B=2(\angle A+\angle B)$. Find the angles. [ 4 MARKS]

Q.

In the given $AD=BE$ and $\angle DAB=\angle EBA$. Which of the following statements are true?

1. $\Delta DAB\cong \Delta EBA$ by SAS postulate

2. $\Delta DAB\cong \Delta EBA$ by ASA postulate

3. $\Delta DAB\cong \Delta EBA$ by AAS postulate

4. $BD=AE$

Q. If $△ABC\cong △DEF$ by SSS congruence, then, which of the following options is correct?

1. AB = EF, BC = FD, CA = DE
2. AB = FD, BC = DE, CA = FE
3. AB = DE, BC = FE, CA = FD
4. AB = DE, BC = FE, $\angle$C = $\angle$E

Q. AAS criteria of congruency and ________ criteria can be used interchangeably.

1. SSS
2. ASA
3. AAA
4. SAS

Q.

In the figure, AC = DE = 7 cm. If BD = 4 cm, then CF equals

1. 3 cm

2. 4 cm

3. 5 cm

4. 2 cm

Q. AAS criteria of congruency and ________ criteria can be used interchangeably.

1. SSS
2. ASA
3. AAA
4. SAS

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