Quadrilateral Angles and Construction

The video tutorial demonstrates how to construct quadrilaterals when given specific sides and angles. It covers two examples: constructing quadrilateral PLAN with two sides and three angles, and quadrilateral TRUE with three sides and two included angles. The tutorial emphasizes the use of geometric tools like compasses and protractors, and the properties of quadrilaterals, such as the sum of angles equaling 360 degrees.

What is the first step in constructing a quadrilateral when given two sides and three angles?

• Calculate the area first.

• Draw the diagonals first.

• Start with the given angles.

• Draw the given sides first.

How do you locate the point L when given PL = 4 cm?

• By drawing a circle with radius 4 cm.

• By drawing a line segment of 4 cm from P.

• By measuring 4 cm from the origin.

• By using a protractor to measure 4 cm.

What tool is used to draw a perpendicular line from a point?

• Set square

• Protractor

• Compass

• Ruler

What is the sum of all angles in a quadrilateral?

• 360 degrees

• 450 degrees

• 180 degrees

• 270 degrees

How is the unknown angle L calculated in the quadrilateral?

• By subtracting the known angles from 360 degrees.

• By adding all angles and dividing by 4.

• By using the Pythagorean theorem.

• By measuring directly with a protractor.

What is meant by 'included angles' in a quadrilateral?

• Angles that are opposite to each other.

• Angles that are equal in measure.

• Angles that are formed between two given sides.

• Angles that are adjacent to each other.

What is the first step in constructing a quadrilateral with three sides and two included angles?

• Draw the diagonals first.

• Start with the given angles.

• Draw the longest side first.

• Draw the given sides first.

How do you determine the position of point U in the second example?

• By drawing an arc from R with a given radius.

• By measuring directly with a ruler.

• By using a protractor to measure angles.

• By drawing a perpendicular from R.