SSC CGL Geometry Congruent Triangles Set 1 : Ques No 1
In the figure below, AY ⊥ YZ and BY ⊥ XY such that AY = YZ and BY = XY. If k is the ratio of the lengths of AB and ZX, then the value of k is
Options:
A. 1
B. 1/2
C. 2
D. 2/3
Answer: A
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 2
In the figure below, the triangle ABC is an isosceles triangle with AB = AC. X and Y are two points on equal sides AB and AC respectively such that AX = AY. If CX = 5 units, then the value of BY is
Options:
A. 1
B. 3
C. 5
D. 2
Answer: C
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 3
In the figure below, if the angles x and y are equal and AB = BC, then which of the following is correct?
Options:
A. DF = EF
B. AE = CD
C. BE = BF
D. AF = FC
Answer: B
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 4
In the figure below, D is the mid-point of BC. If DL and DM are perpendiculars drawn on AB and AC respectively such that DL = DM, then the value of AB – AC is
Options:
A. 0
B. 1
C. 2
D. 3
Answer: A
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 5
In the figure below, ABC is an equilateral triangle, PQ || AC and AC is produced to R such that CR = BP, then which of the following is incorrect?
Options:
A. PQ = CR
B. PM = MC
C. BP = PQ
D. BP = PM
Answer: D
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 6
In the figure below, AC = BC, ∠DCA = ∠ECB and ∠DBC = ∠EAC. If p = DC / EC and q = BD / AE, then the value of (p + q) is
Options:
A. 1
B. 2
C. 3
D. 4
Answer: B
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 7
In the figure below, BD and CE are altitudes. If BE = CD, then
Options:
A. AB = BC
B. AE = AC
C. BD = CE
D. None of these
Answer: C
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 8
In the figure below, AB = CF, EF = BD and ∠AFE = ∠CBD, then which of the following is incorrect?
Options:
A. AF = CB
B. ∠AEF = ∠CDB
C. AE = CD
D. None of these
Answer: D
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 9
In the figure below, ∠A = ∠C and AB = BC, then which of the following is incorrect?
Options:
A. AD = CE
B. BD = BE
C. OA = OC
D. None of these
Answer: C
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 10
ABC and DBC are two isosceles triangles on the same base and the vertices A and D are on the same side of BC. If AD is extended to intersect BP at P, then which of the following is incorrect?
Options:
A. ∆ABD ≅ ∆ACD
B. ∆ABP ≅ ∆ACP
C. AP bisects ∠A and ∠D
D. None of these
Answer: D
Solution:
SSC CGL Geometry Congruent Triangles Set 1 : Ques No 11
ABCD is a square, X is a point in the diagonal BD and the perpendicular from B to AX meets AC in Y. Then, which of the following is true?
Options:
A. ∆AXD ≅ ∆AYB
B. ∆BCY ≅ ∆AXB
C. Angle ADX = Angle AYB
D. None of these
Answer: A
Solution:
