Congruency Postulates

Q. What is meant by adjacent sides.

Q. Triangle ABC is congruent to triangle PQR. Which of the corresponding sides are equal?

1. AB = PQ
2. AC = PR
3. BC = QR
4. AB = QR

Q.

If two angles have the same measure, they are congruent.

1. True

2. False

Q. If three sides of a triangle are congruent to three corresponding sides of another triangle, then the two triangles are congruent by

1. ASA test
2. SSS test
3. RHS test
4. AAS test

Q.

What are the criteria for congruence of triangles?

1. SSS, SAS, ASS, AAS, RHS

2. SSS, SAS, ASA, AAS, AAA

3. SSS, SAS, ASA, SSA, RHS

4. SSS, SAS, ASA, AAS, RHS

Q.

Two angles are said to be , if they have equal measures.

Q.

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

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

1. AAS and SAS

2. AAS and ASA

3. No two congruency criteria are same

4. SAS and ASA

Q. ∆ PQR and ∆ XYZ such that l(PQ) = l(XY), l(QR) = l(YZ), l(RP) = l(ZX), then the triangles are congruent by

1. ∆ PQR ≅ ∆ XYZ by SSS test
2. ∆ QPR ≅ ∆ XYZ by SSS test
3. ∆ PQR ≅ ∆ XYZ by ASA test
4. ∆ PQR ≅ ∆ XZY by SSS test

Q.

Identify the corresponding sides and corresponding angles in the following congruent triangles:

(a)

(b)

Q.

If two angles and the included side of a triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent by which condition?

1. SAS

2. ASA

3. SSS

4. RHS

Q. ∆ ABC ≅ ∆ PQR, then C↔

1. P
2. Q
3. R
4. None of the above

Q.

In the figure, AB is a straight line. Find x.

Q.

An angle is 20^o less than its complement. Find its measure.

1. 35^o

2. 25^o

3. 45^o

4. 55^o

Q. If two angles of a triangle and a side included by them are congruent with two corresponding angles and the side included by them of the other triangle, then the triangles are congruent with each other by _______

1. SSS test
2. SAS test
3. RHS test
4. ASA test

Q.

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

Q.

In triangle ABC, if AB = AC, then which of the following is correct?

1. A = C

2. B = C

3. A = B

4. A = B = C

Q. Which angle is included between side ED and side FD?

1. ∠ DFE
2. ∠ EDF
3. ∠ DEF
4. ∠ EFD

Q. If triangle ABC is congruent to triangle PQR and AC = 10 cm and BC = 6 cm then find the length of side PQ.

1. 8 cm
2. $\sqrt{1}36$ cm
3. 10 cm
4. 6 cm

Q. In the figure, the two triangles are congruent. The corresponding parts are marked. We can write $△RAT\cong ?$

Q.

In ∆ABC and ∆PQR, if AB = AC, ∠C = ∠P and ∠B = ∠Q, then the two triangles are:

1. Isosceles but not congruent

2. Isosceles and congruent

3. Congruent but not isosceles

4. Neither congruent not isosceles

Q. ∆ ABC ≅ ∆ LMN are congruent by SAS test then which statement is wrong

1. ∠ CBA = ∠ NML
2. AC = LN
3. AB = LM
4. ∠ CBA = ∠ NML

Q.

Show that the perpendiculars drawn from the vertices of the base of an isosceles triangle to the opposite sides are equal.

Q.

Adjacent angles have a common vertex and a common arm.

1. True
2. False

Q.

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

1. $△ABD\cong △CBD$ by SAS postulate

2. $△ABD\cong △CBD$ by ASA postulate

3. AB = BC

4. AD = CD

Q. What is parallax method and parallax angle

Q. By which criteria for congruence are the following triangles congruent?

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

Q. State the test by which both triangles are congruent to each other in the provided figure.

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

Q. What is the complement of a 16 degree angle?

1. 74 Degrees
2. 64 Degrees
3. 84 Degrees
4. 54 Degrees

Q. If, ∆ ABC ≅ ∆ DEF then

1. ∠B = ∠D
2. AC = DE
3. ∠B = ∠F
4. BC = EF

Q.

In $\Delta$ ABD, AB=AD and AC is perpendicular to BD. State the property by which $\Delta$ ABC $\cong$ $\Delta$ ADC.

1. SSS property

2. ASA property

3. SAS property

4. RHS property