Math, asked by avnibhatt771, 19 days ago

1. Two triangles, A PQR and ADEF are of the same size and shape. What can we conclude about them? (a) ΔPQR is smaller than ΔDFE. (b) ΔPQR is larger than ΔDFE. (c) ΔPQR is congruent to ΔDFE. (d) ΔPQR is not congruent to ΔDFE. 2. Which of the following is not a congruence criterion? (a) ASA (b) SAS (c) SSS (d) None of these 3. ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RQP, then the part of ΔABC that correspond to ∠P is (a) ∠A (b) ∠C (c) ∠B (d) None of these 4. In ΔPQR and ΔXYZ, ∠P = 50o, XY = PQ, and XZ = PR. By which property are ΔXYZ and ΔPQR congruent? (a) S.S.S. property (b) S.A.S. property (c) A.S.A. property (d) R.H.S. property 5. Two students drew a line segment each. What is the condition for them to be congruent? (a) They should be drawn with a scale. (b) They should be drawn on the same sheet of paper. (c) They should have different lengths. (d) They should have the same length 6. In ΔABC,AB = AC and AD is ⊥ to BC. State the property by which ΔADB = ΔADC. (a) S.A.S. property (b) S.S.S. property (c) R.H.S. property (d) A.S.A, property 7. ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RQP, then the part of ΔABC that correspond to ∠Q is (a) ∠C (b) ∠A (c) ∠B (d) None of these 8. If ∆ ABC = ∆ PQR, then ∠A corresponds to (a) ∠P (b) ∠Q (c) ∠R (d) None of these 9. To show that ∆ ART = ∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show? (a) AT = PN (b) AT = PE (c) AT = EN (d) None of these 10. If ΔDEF ≅ ΔACB, then the part of ΔACB that correspond to ∠F is (a) ∠A (b) ∠C (c) ∠B (d) None of these 11. What is the side included between the angles A and C of △ABC? (a) AB (b) BC (c) AC (d) None of these 12. If the vertical angle of a isosceles triangle is 40°, then measure of other two angles will be (a) 60°, 60° (b) 80°, 80° (c) 70°, 70° (d) 45°, 45°

Answers

Answered by Learnerger

Answer:

1. Two triangles, A PQR and ADEF are of the same size and shape. What can we conclude about them?

(a) ΔPQR is smaller than ΔDFE.

(b) ΔPQR is larger than ΔDFE.

(d) ΔPQR is not congruent to ΔDFE.

► (c) ΔPQR is congruent to ΔDFE.

2. Which of the following is not a congruence criterion?

(a) ASA

(b) SAS

(d) None of these

► (d) None of these

3. ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RQP, then the part of ΔABC that correspond to ∠P is

(a) ∠A

(b) ∠C

(d) None of these

► (b) ∠C

4. In ΔPQR and ΔXYZ, ∠P = 50o, XY = PQ, and XZ = PR. By which property are ΔXYZ and ΔPQR congruent?

(a) S.S.S. property

(b) S.A.S. property

(d) R.H.S. property

► (b) S.A.S. property

5. Two students drew a line segment each. What is the condition for them to be congruent?

(a) They should be drawn with a scale.

(b) They should be drawn on the same sheet of paper.

(d) They should have the same length.

► (d) They should have the same length.

6. In ΔABC,AB = AC and AD is ⊥ to BC. State the property by which ΔADB = ΔADC.

(a) S.A.S. property

(b) S.S.S. property

(d) A.S.A, property

► (c) R.H.S. property

7. ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RQP, then the part of ΔABC that correspond to ∠Q is

(a) ∠C

(b) ∠A

(d) None of these

► (c) ∠B

8. If ∆ ABC = ∆ PQR, then ∠A corresponds to

(a) ∠P

(b) ∠Q

(d) None of these

► (a) ∠P

9. To show that ∆ ART = ∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show?

(a) AT = PN

(b) AT = PE

(d) None of these

► (a) AT = PN

10. Which of the following examines the congruence of plane figures?

(a) Trial and error method

(b) Superposition method

(d) Transposition method

► (b) Superposition method

11. If ∆ ABC and ∆ PQR are to be congruent, name one additional pair of corresponding parts

(a) BC = QR

(b) BC = PQ

(d) None of these

► (a) BC = QR

12. Which of the following is a pair of congruent figures?

(a) A regular pentagon and a regular hexagon.

(b) A rhombus and a square.

(d) A quadrilateral and a rectangle.

► (c) Two equilateral triangles of the same length of their sides.

13. If ΔDEF ≅ ΔACB, then the part of ΔACB that correspond to ∠F is

(a) ∠A

(b) ∠C

(d) None of these

► (c) ∠B

14. What is the side included between the angles A and C of △ABC?

(a) AB

(b) BC

(d) None of these

► (c) AC

15. If the vertical angle of a isosceles triangle is 40°, then measure of other two angles will be

(a) 60°, 60°

(b) 80°, 80°

(d) 45°, 45°

► (c) 70°, 70°

16. Two angles are congruent if they have

(a) Same name

(b) unequal measures

(d) None of these

► (c) equal measures

17. ΔABC is right triangle in which ∠A = 90° and AB = AC. The values of ∠B and ∠C will be

(a) ∠B = ∠C = 30°

(b) ∠B = ∠C = 50°

(d) ∠B = ∠C = 60°

► (c) ∠B = ∠C = 45°

18. In ΔABC and ΔPQR, AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm. QR = 5 cm. PR = 6 cm. then which of the following is true?

(a) ΔABC ≅ ΔQRP

(b) ΔABC ≅ ΔPQR

(d) None of these

► (b) ΔABC ≅ ΔPQR

19. 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, then which of the following is true

(a) ΔABC ≅ Δ PQR

(b) ΔABC ≅ Δ QRP

(d) ΔABC ≅ Δ QPR

► (c) ΔABC ≅ Δ RPQ

20. Which of the following is an example of ASA. criterion of congruency for two triangles ∠ACB and ∠DEF?

(a) AB = EF, ∠B = ∠E and ∠C = ∠F

(b) BC = EF, ∠B = ∠F and ∠C = ∠E

(d) AC = DE, ∠B = ∠D and ∠C = ∠F

► (b) BC = EF, ∠B = ∠F and ∠C = ∠E

21. What is the angle included between the sides PN and PM of ΔMNP?

(a) ∠M

(b) ∠N

(d) None of these

► (c) ∠P

22. A triangle in which all three sides are of equal lengths is called _________.

(a) Isosceles

(b) Equilateral

(d) None of these

► (b) Equilateral

23. ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RPQ, then the part of ΔABC that correspond to PQ is

(a) AC

(b) AB

(d) None of these

► (c) BC

24. If ΔDEF ≅ ΔBCA, then the part of ΔBCA that correspond to ∠E is

(a) ∠B

(b) ∠C

(d) None of these

► (b) ∠C

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