Q1. - Geometry

Question

Suggest an alternate procedure for Construct $7$ that uses Constructions $5$ and $6$ .

Step-by-Step Solution

Answer

The line $ab$ will be parallel to line $k$ .

Step 1. Given information.

Draw $7$  which uses the construction of $5$ and $6$. 

Step 2. Concept used.

A parallelogram has opposite sides parallel and equal.

Step 3. Solution.

The following steps should be taken to draw $7$ which uses the construction of $5$ and $6$.

Step I: Construction  $6$ can be used to draw $j$ which is perpendicular to $k$ via $P$. Proper

procedures should be followed to absolute the Construction $6$. With the help of $x,y$ and $P$ as centers, two arcs, namely  $a and b$ above $k$ can be drawn.  A line should be drawn through $a and b$.

Step-II: Construction $5$  can be used to draw $l$ which is perpendicular to $j via P$.  Proper procedures should be followed to absolute the Construction$5$. With the help of $x,y and C$(as shown in Construction 5) as centers, two arcs, namely below $k$ can be drawn. A line $a$ should be drawn through $b$.

Step III: Therefore, it is visible that the line $ab$ will be parallel to line $k$.