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SSC CGL Triangle Center — practice questions — page 2

Explore 93 free Triangle Center questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Triangle Center questions and exercises with answers

Showing questions 31–60 of 93.

Triangle ABC is congruent to triangle DEF with A, B, C matching D, E, F. If BC = 9 cm, EF isRead the answer and worked solution →Triangle PQR is congruent to triangle XYZ in that order. If angle Q = 48°, angle Y isRead the answer and worked solution →A circle of radius 7 cm is congruent to a circle of diameterRead the answer and worked solution →Which property makes congruence an equivalence relation?Read the answer and worked solution →Two triangles each have sides 5 cm and 7 cm enclosing a 60° angle. They are congruent byRead the answer and worked solution →Two triangles have angles 40° and 60° and a 8 cm side between them. Their congruence criterion isRead the answer and worked solution →If triangles ABC and PQR are congruent and the area of ABC is 36 cm², the area of PQR isRead the answer and worked solution →Triangle ABC has perimeter 30 cm and is congruent to triangle LMN. The perimeter of LMN isRead the answer and worked solution →Two squares are congruent exactly when they have the sameRead the answer and worked solution →For congruent triangles ABC and DEF, AB = (3x - 2) cm and DE = 19 cm. The value of x isRead the answer and worked solution →Two line segments are congruent when theyRead the answer and worked solution →A right triangle has hypotenuse 13 cm and a leg 5 cm. Another right triangle has the same two. Its third side isRead the answer and worked solution →Two triangles are similar when two angles of one equal two angles of the other. This is theRead the answer and worked solution →Two pairs of sides are proportional and the angles between them are equal. The triangles areRead the answer and worked solution →Which statement about similar polygons is correct?Read the answer and worked solution →Which pair of shapes is always similar?Read the answer and worked solution →Congruent shapes are similar with a scale factor ofRead the answer and worked solution →A triangle with sides 3, 4, 5 cm and one with sides 6, 8, 10 cm have side ratioRead the answer and worked solution →Triangles ABC and PQR are similar. BC = 6 cm, QR = 9 cm and AC = 8 cm. Find PR.Read the answer and worked solution →Two similar triangles have sides in ratio 4 : 9. The altitude of the smaller is 8 cm. The other altitude isRead the answer and worked solution →A small triangle of area 20 cm² has sides in ratio 2 : 3 to a similar larger one. The larger area isRead the answer and worked solution →Two triangles are each similar to a third triangle. The first two areRead the answer and worked solution →One triangle has angles 40° and 75°. Another has angles 75° and 65°. They areRead the answer and worked solution →Triangle ABC ~ triangle PQR, AB = 6 cm, PQ = 9 cm, perimeter of ABC is 24 cm. Perimeter of PQR isRead the answer and worked solution →A 6 m pole casts a 4 m shadow. At that time a tower casts a 24 m shadow. Tower height?Read the answer and worked solution →A tree's shadow is 12 m when a 1.5 m boy's shadow is 1 m. How tall is the tree?Read the answer and worked solution →In triangle ABC, DE is parallel to BC with D on AB and E on AC. AD = 4, DB = 6, AE = 6. Find EC.Read the answer and worked solution →A line parallel to BC cuts AB at D and AC at E, with AD : DB = 2 : 3. If AC = 15 cm, AE isRead the answer and worked solution →A line cutting two sides of a triangle in the same ratio isRead the answer and worked solution →D and E are midpoints of AB and AC. If BC = 14 cm, then DE isRead the answer and worked solution →

Worked practice questions

Triangle ABC is congruent to triangle DEF with A, B, C matching D, E, F. If BC = 9 cm, EF is

  1. 9 cm
  2. 12 cm
  3. 18 cm
  4. 4.5 cm
Show answer and solution

Correct answer: A. 9 cm

BC and EF are corresponding sides of congruent triangles, so they are equal at 9 cm.

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Triangle PQR is congruent to triangle XYZ in that order. If angle Q = 48°, angle Y is

  1. 96°
  2. 42°
  3. 132°
  4. 48°
Show answer and solution

Correct answer: D. 48°

Q and Y are corresponding vertices, so their angles are equal.

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A circle of radius 7 cm is congruent to a circle of diameter

  1. 14 cm
  2. 21 cm
  3. 28 cm
  4. 7 cm
Show answer and solution

Correct answer: A. 14 cm

Circles are congruent when their diameters match, and a 7 cm radius gives a 14 cm diameter.

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More Quantitative Aptitude topics

Profit and LossSquare RootsTime, Speed and DistanceTime and WorkRatio and ProportionPercentageSimple & Compound InterestAverages