SSS Rule

Q. Question 5
ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that $\angle ABD=\angle ACD.$

Q. If ∆ABC ≅ ∆ PQR and ∆ABC is not congruent to ∆RPQ, then which of the following is not true?
(a) BC = PQ
(b) AC = PR
(c) BC = QR
(d) AB = PQ

Q. Question 2 (i)
AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that
AD bisets BC

Q.

Among two congruent angels, if one has a measure of ${100}^{\circ }$, then the measure of the other angle is __________________ .

Q. AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that
AD bisets BC

Q. How to write a congruence statement easily?

Q. In the given figure, $\text{seg}AB\cong \text{seg}CB\text{and seg}AD\cong \text{seg}CD.$ Prove that $△ABD\cong △CBD$.

Q.

All the following are criteria for measuring the congruency of triangles except the _____.

1. SAS

2. SSS

3. ASA

4. AAA

Q.

Question 2 (ii)
AD is an altitude of an isosceles triangles ABC in which AB = AC.
Show that AD bisects $\angle A$.

Q.

In case of two equilateral triangles, PQR and STU which of the following correspondence is not correct

1. PQR ↔ STU

2. PQR ↔ SUT

3. PQR ↔ UST

4. PQR ↔ TTS

Q. If two triangles $△ABC$ and $△PQR$ are such that AB = QR, BC = RP and CA = PQ, then ___.

1. $△ABC\cong △PQR$
2. $△CBA\cong △PRQ$
3. $△PQR\cong △BCA$
4. $△BAC\cong △RPQ$

Q. In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?

Q. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:
$\angle DBCisarightangle.$

Q.

If the areas of two triangles are equal . Prove that

1) They can be congruent to each other.

2) They cannot be congruent to each other.

Q. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:
$\angle DBCisarightangle.$

Q.

If two angles are equal they are said to be _________________.

Q. Which of the following options is/are appropriate criteria for congruence?

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

Q.

In case of two equilateral triangles, PQR and STU which of the following correspondence is not correct

1. 

2. 

3. 

4. 

Q. “If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.” Is this statement true? Why/why not?

Q.

In the following figure, $△ABC\cong △ACD$ if ___.

1. BC = AC

2. BC = AD

3. BC = CD

4. CD = AC

Q. If $\Delta ABC$ $\cong$ $\Delta DEF$ by SSS congruence, then, match the corresponding equal sides.

1. DE
2. EF
3. FD

Q. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:
$\angle DBCisarightangle.$

Q.

If $\Delta ABC$ $\cong$ $\Delta DEF$ by S.S.S. 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 = EF, CA = FD

4. AB = DE, BC = FD, $\angle$C = $\angle$F

Q. In the figure, it is given that AB = AC and point D bisects the side BC. Find $\angle ADC$.

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${90}^{\circ }$
4. ${120}^{\circ }$

Q. SSS rule is not a sufficient criterion for two triangles to be congruent.

1. False
2. True

Q. $△ABC$ and $△DBC$ are two isosceles triangles on the same base BC (see the given figure). Then, $\angle ABD$ = _______.

1. $\angle BCA$
2. $\angle ABC$
3. $\angle ACD$
4. $\angle CDB$

Q. If 3 sides of one triangle are equal to the three sides of another triangle, then the two triangles are .

1. congruent by SSS
2. congruent by SAA
3. congruent by SAS
4. congruent by SSA

Q. $△ABC$ and $△DBC$ are two isosceles triangles on the same base BC (see the given figure). Then, $\angle ABD$ = _______.

1. $\angle BCA$
2. $\angle ABC$
3. $\angle ACD$
4. $\angle CDB$

Q. In the given figure, if AB = AC and D is the midpoint of BC, then which of the following is true ?

1. $△ADB\cong △ADC$ by RHS postulate
2. $△ADB\cong △ADC$ by SSS postulate
3. AD bisects $\angle BAC$
4. If $\angle BAC={80}^{\circ },$ then $\angle ABD={80}^{\circ }$

Q. The two triangles are congruent by _________ congruency rule.

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