InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Using the ruler, measure the lengths of seg AB and seg PQ. Are they of same length? Trace the seg AB on a sheet of transparent paper. Now place this new segment on PQ verify that if point A is placed on point P, then B falls on Q.l(AB) = ___ l(PQ) = ___ |
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Answer» l(AB) = 4 cm l(PQ) = 4 cm Since the length of two segments is the same, if placed on one another, they will coincide. |
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| 2. |
From the shape shown below, write the names of the pairs of congruent line segments.i. seg AB ≅ seg DC ii. seg AE ≅ seg BH iii. seg EF ≅ seg ___ iv. seg DF ≅ seg ___ |
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Answer» seg EF ≅ seg AD ≅ seg BC ≅ seg HG seg DF ≅ seg CG ≅ seg AE ≅ seg BH |
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| 3. |
Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures. |
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Answer» i. ∠AOC ≅ ∠PQR ii. ∠DOC ≅ ∠LMN iii. ∠AOB ≅ ∠BOC ≅ ∠RST |
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| 4. |
Write the names of pairs of congruent line segments. (Use a divider to find them.)i. ___ ii. ___ |
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Answer» i. seg BG ≅ seg CG ii. seg NG ≅ seg MG ≅ seg EG ≅ seg RG |
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| 5. |
Observe the given angles and write the names of those having equal measures. |
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Answer» i. ∠ABC and ∠SPM ii. ∠NIT and ∠SRI iii. ∠PTQ and ∠RTS |
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| 6. |
Observe the image shown in the adjacent figure and answer the following questions.1. What time does this clock show? 2. What is the measure of the angle between its two hands? 3. At which other times is the angle between the hands congruent with this angle? |
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Answer» 1. 3 o’ clock. 2. 90°. 3. 9 o’ clock. |
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| 7. |
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blanks.i. seg AB ≅ seg ___ ii. seg AP ≅ seg ___ iii. seg AC ≅ seg ___ iv. seg ___ ≅ seg BY v. seg __ ≅ seg YQ vi. seg BW ≅ seg ___ |
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Answer» i. BC ii. QW iii. QZ iv. AZ v. AY vi. AC Note: The above problem has many solutions. Students may write solutions other than the ones given. |
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| 8. |
Can a triangle be drawn if the three angles are given, but not any side? How many such triangles can be drawn? |
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Answer» Yes a triangle can be drawn. Since the length of side is not given, any length of side can be selected and then triangle can be constructed. We will get different triangles for different length of sides. |
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| 9. |
Maithili, Shaila and Ajay live in three different places in the city. A toy shop is equidistant from the three houses. Which geometrical construction should be used to represent this? Explain your answer. |
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Answer» Since, Maithili, Shaila and Ajay live in three different places, lines joining their houses will form a triangle. The position of the toy shop which is equidistant from three houses can be found out by drawing the perpendicular bisector of the sides of the triangle joining the three houses. The shop will be at the point of concurrence of the perpendicular bisectors. |
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| 10. |
Try to draw triangles with the following data. Can you draw these triangles. If not, look for the reason why you could not draw so.i. ∆ABC in which m∠A = 85° , m∠B = 115° , l(AB) = 5cm.ii. ∆PQR in which l(QR) = 2cm, l(PQ) = 4cm, l(PR) = 2cm. |
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Answer» i. m∠A + m∠B = 85° + 115° = 200°>180° But the sum of the measures of the angles of a triangle is 180° Hence, ∆ABC cannot be drawn. ii. l(QR) + l(PR) = 2 cm + 2cm = 4 cm = l(PQ) But in a triangle, the sum of the length of any two sides of a triangle is always greater than the length of the third side. Hence, ∆PQR cannot be drawn. |
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