Question
Construct a triangle similar to a given $\triangle\text{XYZ}$ with its sides equal to $\Big(\frac{3}{4}\Big)^\text{th}$ of the corresponding sides of $\triangle\text{XYZ}$ Write the steps of construction.
✓
Answer
Steps of construction:
i. Draw a triangle $X Y Z$ with some suitable data.
ii. Draw a ray $Y L$ making an acute angle with $X Z$ and cut off 5 equal parts making $Y Y_1=Y_1 Y_2=Y_2 Y_3=Y_3 Y_4$.
iii. Join $Y_4$ and $Z$.
iv. From $Y_3$, draw $Y_3 Z^{\prime}$ parallel to $Y_4 Z$ and $Z^{\prime} X^{\prime}$ parallel to $Z X$.
Then $\triangle\text{X}'\text{YZ}'$ is the required triangle.
i. Draw a triangle $X Y Z$ with some suitable data.
ii. Draw a ray $Y L$ making an acute angle with $X Z$ and cut off 5 equal parts making $Y Y_1=Y_1 Y_2=Y_2 Y_3=Y_3 Y_4$.
iii. Join $Y_4$ and $Z$.
iv. From $Y_3$, draw $Y_3 Z^{\prime}$ parallel to $Y_4 Z$ and $Z^{\prime} X^{\prime}$ parallel to $Z X$.
Then $\triangle\text{X}'\text{YZ}'$ is the required triangle.
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Marks (out of 90)
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Number of candidates
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More than or equal to 80
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4
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More than or equal to 70
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6
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More than or equal to 60
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11
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34
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