Basic Constructions

Q. Construct a line segment of length 5.6 cm using ruler and compasses.

Q. is a branch of mathematics that deals with properties of shapes and figures.

1. Geometry
2. Trigonometry
3. Algebra

Q. Geometry is a branch of mathematics that studies the sizes, shapes, angle of inclination and dimensions of things.

1. True
2. False

Q. Construct a triangle ABC such that: BC = 6 cm, $\angle B={60}^{\circ }$ and $\angle C={45}^{\circ }$ In the same figure, find a point which is equidistant from the vertices of the triangle.Name this point. Draw the Circumcircle of the triangle.

1. Circumcenter
2. Incenter
3. Midpoint
4. Data insufficient

Q. Draw a right angle and construct its bisector.

Q. The measure of half of the angle shown in the given figure is ___

1. 75${}^{\circ }$
2. 130${}^{\circ }$
3. 25${}^{\circ }$
4. 50${}^{\circ }$

Q. How many arcs do we need to draw to construct an angle of measure 120°?​

1. 2
2. 3
3. 1
4. 0

Q. Draw a right angle and construct its bisector.

Q. The houses of Jocelyn and Alivia are 5 miles apart. Alivia's house is toward the left of Jocelyn's house. Jocelyn starts from her house and walks 2 min toward east, then turns right and walks 1 mile, then turns left and walks 1 mile. Alivia walks 2 miles from her house toward west, then turns left and walks 1 mile. Which of the following is true about the given scenario?

1. Both will meet at the same place.
2. Jocelyn is 2 miles away from Alivia.
3. Jocelyn is 1 mile away from Alivia.
4. Jocelyn is 4 miles away from Alivia.