Construction of Perpendicular from a Point on a Line Using a Set Square

Q. Draw line l . Take any point P on the line. Using a set square, draw a line perpendicular to line l at the point P.

Q. Take a point R on line XY. Draw a line perpendicular to XY at R, using a set square.

Q. Draw line l . Take point P anywhere outside the line. Using a set square, draw a line PQ perpendicular to line l .

Q. There are 2 types of set - squares in a geometry box. State whether the statement is True or False.

1. False
2. True

Q. Choose the shape of a set - square.

1. Rectangle
2. None of the above
3. Semi - circle
4. Triangle

Q.

Which of the following sets of angles represent the angles that set squares in your geometry box have?

1. 30°, 60°, 90°

2. 20°, 70°, 90°

3. 75°, 15°, 90°

4. 45°, 45°, 90°

Q. Draw a line segment AB = 7 cm and mark a point P on it. Draw a line perpendicular to the given line segment at P.

Q. Identify the third step in the construction of a perpendicular to a line at a point on the line using a set square.

1. Place the set square on the line in such a way that the vertex of its right angle is at point C and one arm of the right angle falls on line AB.
2. Draw line AB and take point C anywhere on the line.
3. The line CD is perpendicular to the line AB at C.
4. Draw a line CD along the other arm of the right angle of the set square.

Q. The instrument in the geometry box having a shape of a triangle is called a ______.

1. protractor
2. compass
3. divider
4. set square

Q. Identify the second step in the construction of a perpendicular to a line at a point on the line using a set square.

1. The line CD is perpendicular to the line AB at C.
2. Place the set square on the line in such a way that the vertex of its right angle is at point C and one arm of the right angle falls on line AB.
3. Draw line AB and take point C anywhere on the line.
4. Draw a line CD along the other arm of the right angle of the set square.

Q.

Which of the following has a semi-circular shape?

1. Triangle

2. Circle

3. Semicircle

4. Rectangle

Q. Two (${45}^{\circ }-{45}^{\circ }$) set square can form a square. State whether the ststememt is true or False.

1. True
2. False

Q. From the given options, is a set of angles represented by the set -squares of a geometry box.

1. 20°, 70°, 90°
2. 75°, 15°, 90°
3. 30°, 60°, 90°

Q.

Which of the following is impossible to draw using the given set squares?

1. 105°

2. 95°

3. 45°

4. 75°

Q. Draw a line AB and take two points C and E on opposite sides of AB. Through C, draw CD ⊥ AB and through E draw EF ⊥ AB. (Using (i) ruler and set-squares (ii) ruler and compassed)

Q. Choose the shape of a set - square.

1. Semi - circle
2. Triangle
3. Rectangle
4. None of the above

Q. From the given options, is a set of angles represented by the set -squares of a geometry box.

1. 20°, 70°, 90°
2. 75°, 15°, 90°
3. 30°, 60°, 90°

Q. Draw any line segment $\overline{PQ}$. Take any point R, not on it, through R, draw a perpendicular to $\overline{PQ}$. (use ruler and set-square).

Q. We can use _____ to construct parallel lines.

1. ruler
2. protractor
3. compass
4. set square

Q. There are 2 types of set - squares in a geometry box. State whether the statement is True or False.

1. True
2. False