Constructions Test

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Constructions Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

To construct a triangle similar to given ΔABC with its sides of 7/4 the corresponding sides of ,ΔABC, with a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is :

A
7

B
3

C
4

D
3

Solution

When numerator is greater than the denominator, the number of arcs should be drawn larger of m and n. Therefore, according to the question, the minimum number of points to be located at equal distances on ray BX is 7.
Question 2
1 / -0

To divide a line segment LM in the ratio 4 : 3, a ray LX is drawn first such that ∠MLX is an acute angle and then points, L₁,L₂, L₃, … are located at equal distances on the ray LX and the points M is joined to:

A
L₃

B
L₂

C
L₇

D
L₄

Solution

To divide a line segment AB in the ratio m: n, a ray AX is drawn, such that ∠BAX is an acute angle and the points A₁, A₂, A₃, …….., Am, …….. An are located at equal distances on the ray AX and then the point B is joined to An.
Therefore, according to the question, the point M is joined to L7M.
Question 3
1 / -0

To construct a triangle similar to given with ΔPQR its sides 5/8 of the corresponding sides of first ΔPQR, a ray PX is drawn such that is ∠QPX an acute angle and X lies on the opposite side of R with respect to PQ. Then locate points, P₁,P₂,P₃…. On PX at equal distances and the next step is to join:

A
P₃to Q

B
P₈to Q

C
P₅to Q

D
P₆to Q

Solution

To construct a triangle similar to given ΔABC with its sides mnmn of the corresponding sides of first ΔABC, a ray AX is drawn such that ∠BAX is an acute angle and X lies on the opposite side of C with respect to AB. Then locate points,A₁,A₂, A₃…. A_m ….. A_non AX at equal distances and next step is to join, A_nB.Therefore, according to sides of question, the next step is to join P8 to Q.
Question 4
1 / -0

To divide a line segment AB internally in the ratio 5:2, first a ray AX is drawn so that ∠BAX is an acute angle and then points A1,A2,A3........ are located at equal distances on ray AX and point B is joined to:

A
A₇

B
A₃

C
A₆

D
A₂

Solution

To divide a line segment AB in the ratio m:n (when m > n), a ray AX is drawn such that ∠BAX is an acute angle and then points A₁,A₂,A₃...A_m,…..A_n…. are located at equal distances on the ray AX and then the point B is joined to A_n
Therefore, according to the question, point B is joined to A₇.

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Re-Attempt Weekly Quiz Competition

Constructions Test - 5

Result

Constructions Test - 5

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Rank

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SHARING IS CARING

Question 1

7

3

4

3

Solution

Question 2

L3

L2

L7

L4

Solution

Question 3

P3 to Q

P8 to Q

P5 to Q

P6 to Q

Solution

Question 4

A7

A3

A6

A2

Solution

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Question Analysis

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Rank

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L₃

L₂

L₇

L₄

P₃to Q

P₈to Q

P₅to Q

P₆to Q

A₇

A₃

A₆

A₂