Self Studies

Practical Geome...

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  • Question 1
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    Each of the four angles at $$J$$ are $$90^\circ$$ and $$PJ=JQ$$. Therefore $$AB$$ is _____ to $$PQ$$.

  • Question 2
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    A perpendicular is to be drawn to a line segment of length $$5$$ cm at a distance of $$3$$ cm from the left end. In what ratio, does it divide the given line?

  • Question 3
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    How many angle bisectors need to be drawn in the steps of construction of an angle $$60^\circ$$?

  • Question 4
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    You are asked to "construct" an angle of $$90^\circ$$. Which of the following methods is considered appropriate for construction

  • Question 5
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    How many angle bisectors need to be drawn in the steps of construction of an angle $$45^\circ$$?

  • Question 6
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    Directions For Questions

    The following are the jumbled steps to construct a perpendicular from a point $$P$$ on line $$AB$$. $$(P$$ lies on line $$AB)$$.
    1. From points $$C$$ and $$D$$, mark two intersecting arcs on either side of the line $$AB$$. Name the intersection point as $$E$$.
    2. From point $$P$$, mark two equidistant points from $$P$$ on line $$AB$$, and name them as $$C$$ and $$D$$.
    3. Join $$E$$ and $$P$$. $$EP$$ is the required perpendicular.
    4. Draw segment $$AB$$ and take any point $$P$$ on it.

    ...view full instructions

    The third step in the process will be:

  • Question 7
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    Directions For Questions

    The steps for constructing a perpendicular from point $$A$$ to line $$PQ$$ is given in jumbled order as follows: $$(A$$ does not lie on $$PQ)$$
    1. Join $$R-S$$ passing through $$A$$.
    2. Place the pointed end of the compass on $$A$$ and with an arbitrary radius, mark two points $$D$$ and $$E$$ on line $$PQ$$ with the same radius.
    3. From points $$D$$ and $$E$$, mark two intersecting arcs on either side of $$PQ$$ and name them $$R$$ and $$S$$.
    4. Draw a line $$PQ$$ and take a point $$A$$ anywhere outside the line.

    ...view full instructions

    The third step in the process is:

  • Question 8
    1 / -0

    Directions For Questions

    The steps for constructing a perpendicular from point $$A$$ to line $$PQ$$ is given in jumbled order as follows: $$(A$$ does not lie on $$PQ)$$
    1. Join $$R-S$$ passing through $$A$$.
    2. Place the pointed end of the compass on $$A$$ and with an arbitrary radius, mark two points $$D$$ and $$E$$ on line $$PQ$$ with the same radius.
    3. From points $$D$$ and $$E$$, mark two intersecting arcs on either side of $$PQ$$ and name them $$R$$ and $$S$$.
    4. Draw a line $$PQ$$ and take a point $$A$$ anywhere outside the line.

    ...view full instructions

    The first step in the process is:

  • Question 9
    1 / -0

    The steps for constructing a perpendicular from point $$A$$ to line $$PQ$$ is given in jumbled order as follows: $$(A$$ does not lie on $$PQ)$$
    1. Join $$R-S$$ passing through $$A$$.
    2. Place the pointed end of the compass on $$A$$ and with an arbitrary radius, mark two points $$D$$ and $$E$$ on line $$PQ$$ with the same radius.
    3. From points $$D$$ and $$E$$, mark two intersecting arcs on either side of $$PQ$$ and name them $$R$$ and $$S$$.
    4. Draw a line $$PQ$$ and take a point $$A$$ anywhere outside the line.
    The second step in the process is:

  • Question 10
    1 / -0

    In square $$\square ABCD$$, join $$AC$$. Let $$O$$ be midpoint of $$AC$$ and $$AO \perp BD$$.

    Which one of following is true?

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