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WorksheetsCongruence of Triangles!
Total questions: 13
Worksheet time: 6mins
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. Which type of congruence is this?
SAS
SSS
AAS
RHS
AD = CD and AB = CB, Does BD bisect ∠ABC?
Yes
No
There is not enough information given.
Which of the following pairs of triangles are congruent?
Only i).
i) and ii)
i) and iii)
i), ii) and iv)
AB = AC and AD is the bisector of ∠BAC. Is ΔADB ≅ ΔADC? Give reasons.
Yes, because ∠BAD = ∠CAD, AB = AC, AD = AD
No, because BD = CD is not given.
Yes, because ∠ABD = ∠CDA, AB = AC, AD = AD
No, because ∠ADB = ∠ADC is not given.
In triangles ABC and PQR, ∠B = 90∘, AC = 8 cm, AB = 3 cm, ∠P = 90∘, PR = 3 cm, QR = 8 cm. By which congruence rule the triangles are congruent?
SSS
RHS
SAS
None of the above.
In the below figure, by which congruence rule the following triangles are congruent?
ASA
None of these.
RHS
SSS
10. Which of the following is not a congruence criterion?
A. SSS Criterion
B. AAA Criterion
C. SAS Criterion
D. All are criteria
Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle.
SSS
SAS
ASA
RHS
If ∆ ABC = ∆ PQR, then AB
corresponds to
PR
QR
RP
None of these.
Which congruence criterion do you use in the following?
SSS
SAS
ASA
RHS
In the following figure, the two triangles are congruent. The corresponding parts are marked. We can write ∆ RAT = ?
∆OWN
∆WNO
∆WON
∆ONW
Complete the congruence statement ∆ BCA = ?
∆ BTA
∆ BTA
∆ ABT
∆ ATB
By which congruence, is ∆ ABC = ∆ FED?
SSS
SAS
RHS
ASA
