Deducing Congruent Parts of Congruent Triangles

Q.

3. the following pairs of triangles are congruent . find the unknown lengths of the sides .

(a)

Q.
Which of the following measurements can be used to prove the congruency of the two triangles $△ABC\text{and}△EFD$?

1. $\overline{AB}$ , $\overline{EF}$
2. $\angle A$, $\angle E$
3. $\angle C$, $\angle D$
4. $\angle B$, $\angle F$

Q. If triangles PQR and EFG are congruent , then angle R is equal to?

1. G
2. E
3. F
4. cannot be determined

Q.

In the given figure, if $\angle BAD=\angle CAD,\angle ABD=\angle ACD,$ then which of the following is false?
a)$△ABD\cong △ACD$ by SAS postulate
b)$△ABD\cong △ACD$ by AAS postulate
c)AB = AC
d)BD = CD

Q.

Refer to the following figure:

D and C are equidistant from O.

If any point P is is located such that $△ODP$ is congurent to $△OCP$, then P lies on the ________.

1. Altitude of ΔDOC to side DC.

2. Perpenidicular bisector of ∠DOC

3. None of these

4. Angular bisector of ∠DOC

Q.

In the given figure, if x = y and AB = CB, then AE is _____.

1. less than CD

2. greater than CD

3. equal to CD

4. Can't be determined

Q.

In the figure, if AB = CD and $\angle$ABO = ${35}^{\circ }$. What is the value of $\angle$DCO in degrees?

___

Q.

In the given figure, ABC is a triangle, right-angled at B. BCDE is a square on the side BC and ACFG is a square on AC. Then,

1. $AD=BF$

2. $AD<BF$

3. $AD>BF$

4. lengths of sides AD and BF cannot be compared.

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

1. 13
2. 15
3. 25
4. 17

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 AB = AC, then
$△ABD\cong △ACD$ by ____ criteria.

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

Q. If $△ABC\cong △QRP$ , then match the corresponding parts of congruent triangles .

1. $\overline{AB}$
2. $\angle B$
3. $\overline{CA}$
4. $\angle C$
5. $\angle P$
6. $\overline{QR}$
7. $\angle R$
8. $\overline{PQ}$

Q. Which of the following are congruency conditions?

1. ASA
2. AAS
3. AAA
4. SSA
5. SSS
6. RHS
7. RHA
8. SAS

Q. Any two right-angled triangles are congruent.

1. True
2. False