ASA Postulate

Q.

In the given figure, it is given that AB = CF, EF = BD and $\angle$AFE = $\angle$DBC. Then $△$AFE is congruent to $△$CBD by which criterion?

1. SAS

2. None of these

3. ASA

4. SSS

Q. ABC+ABC+ABC=BBB What are the values of A, B, C?

Q. In the given figure, $AB\parallel CD$ and AB = CD. [3 MARKS]



Prove that: (i) $\Delta AOB\cong \Delta DOC$

(ii) AO = DO

(iii) BO = CO

Q.

In the given figure, O is equidistant from the sides AC and AB. Then the value of x - 3 is

___.

Q. Question 2
It is given that $\Delta DEF\sim \Delta RPQ$. Is it true to say that $\angle D=\angle Rand\angle F=\angle P?$ why?

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

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

Q.

In the given figure, $AB\parallel DC$ and $AD\parallel BC$. If $\angle ABC={75}^{\circ }$, then $\angle CDA$ = ___.

1. ${75}^{\circ }$
2. ${60}^{\circ }$
3. ${105}^{\circ }$
4. ${30}^{\circ }$

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

1. x = 5, y = 6
2. x = 6, y = 7
3. x = 7, y = 8
4. x = 8, y = 7

Q.

In the given figure, P is the midpoint of AB. If $\angle PAC=\angle PBD,$ then which of the following are true?

1. P is midpoint of CD

2. $△APC\cong △BPD$ by SAS postulate

3. $△APC\cong △BPD$ by SSS postulate

4. $△APC\cong △BPD$ ASA postulate

Q.

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

1. RHS

2. SAS

3. ASA

4. SSS

Q.

Which statement is correct for the following Venn diagram?

1. S ∩ T = {Rajdeep, Shreya}

2. S - T = {Rajdeep, Shreya}

3. S X T = {Rajdeep, Shreya}

4. S U T = {Rajdeep, Shreya}

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

1. x = 10
2. x = 20
3. x = 5
4. x = 15

Q. AB and DC are parallel to each other
A and D is the ratio of 4:5
B=(3x-15) degree and C=(4x+20)
find each angle of ABCD

Q.

In the given figure, if AB//DC and AD // BC, then which of the following is true ?

1. $△ABC\cong △CBD$ by RHS postulate

2. $△ABC\cong △CDA$ by ASA postulate

3. If $\angle ABC={75}^{\circ }$, then $\angle$ CDA = 105${}^{\circ }$

4. If $\angle ABC={75}^{\circ }$, then $\angle$CDA = 75${}^{\circ }$

Q.

In the quadrilateral ACBD, AB is a diagonal. If AC = AD and AB bisects $\angle A$, by which congruence property is $\Delta ACB\cong \Delta ADB$?

1. S.A.S.

2. A.S.A.

3. S.S.S.

4. R.H.S.

Q. In the quadrilateral ACBD, AB is a diagonal. If AC = AD and AB bisects $\angle A$, by which congruence property is $\Delta ACB\cong \Delta ADB$?

1. S.A.S.
2. S.S.S.
3. R.H.S.
4. A.S.A.

Q.

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. In the given figure, $AB=AC$ and $\angle GBC=\angle HCB={90}^{\circ }$.
Which of the following statements is true?

1. BG = CB and AG = AH
2. AG = AB and BG = CH
3. BG = CH and AG = AH
4. $\angle BAC={120}^{\circ }$

Q.

For what value of $x$ will $△ABC$ be congruent to $△XYZ$ ?

1. $x={50}^{\circ }$
2. $x={60}^{\circ }$
3. $x={40}^{\circ }$
4. $x={30}^{\circ }$

Q. In the pair of triangles below, find matching pairs of sides and write their names.

[3 marks]

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

Q.

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

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

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

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

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