Congruence Criteria: SAS and ASA

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. In the given figure, AB = AC, AD = AE = 5 cm and DC = 8 cm. Length of EB is.

3 cm

8 cm

7 cm

5 cm

Question 1 of 20

2.

AC = EF

AC = DE

BC = DE

BC = EF

Question 2 of 20

3. Two parallel lines m and n are intersected by another pair of parallel lines p and q as shown in the figure. Which of the following criterion is true for ∆ ABC ≅ ∆ CDA?

SSS

AAS

ASA

SAS

Question 3 of 20

4. Which of the following statements is incorrect ?

Two squares having the same side length are congruent

Two rectangles having the same area are congruent

Two circles having the same radius are congruent

Two lines having same length are congruent

Question 4 of 20

5. In the following figure, PQ = PR and SQ = SR, then

∠PQS =∠ PRS

∠PQS = ∠PQR

∠PQR = ∠SQR

∠PRQ = ∠SRQ

Question 5 of 20

6.

QR= 5 cm, ∠R= 60⁰

QP = 5 cm, ∠P= 60⁰

QR= 5 cm, ∠Q= 40⁰

QP= 5 cm, ∠R = 60⁰

Question 6 of 20

7. If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q and C ↔ R, then symbolically, it is expressed as

ΔABC ≅ ΔPQR

ΔABC = ΔPQR

ΔABC and ΔPQR are scalene triangles

ΔABC and ΔPQR are isosceles triangles

Question 7 of 20

8. If then which of the following is true:

CA = RP

AB = RP

AC = RQ

CB = QP

Question 8 of 20

9. If two sides of a triangle are equal, the angles opposite to these sides are

supplementary

equal

right angles

not equal

Question 9 of 20

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

PQR ↔ TTS

PQR ↔ STU

PQR ↔ SUT

PQR ↔ UST

Question 10 of 20

11. In quadrilateral ABCD, AB bisects ∠A. Which of the following criterion will prove ΔABC ≅ ΔABD ?

A

B

C

D

Question 11 of 20

12. In an isosceles triangle ABC with AB = AC, if BD and CE are the altitudes, then BD and CE are

perpendicular to each other

not equal to each other

equal to each other

parallel to each other

Question 12 of 20

13. In figure , if OA = OB, OD= OC then by congruence rule:

SSS

RHS

ASA

SAS

Question 13 of 20

14. In fig., if AB = AC and PB = QC, then by which congruence criterion PBC ≅ QCB

SSS

RHS

ASA

SAS

Question 14 of 20

15. X and Y are two points on equal sides AB and AC of the triangle ABC such that AX = BY then the three conditions for are

A

B

C

D

Question 15 of 20

16. The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

PS = PQ and QR = RS

PS = PR and SR = QS

PQ = SR and QR = PS

PS = RS and PQ = QR

Question 16 of 20

17.

5 cm

13 cm

8 cm

6 cm

Question 17 of 20

18. In the given figure, AB = EF, BC = DE, AB ⊥ BD and EF ⊥ CE. Which of the following criterion is true for ΔABD ≅ ΔEFC?

AAS

ASA

SSS

SAS

Question 18 of 20

19. Two figures are congruent if they have

same area

same size

same shape

same shape and size

Question 19 of 20

20. A triangle can have:

Two obtuse angles

Two acute angles

Two right angles

All angles more than 60°

Question 20 of 20

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