Understanding Scale Factors in Geometry

The video tutorial explains how Ismail created a scaled copy of a quadrilateral using a scale factor less than one. It discusses the implications of using such a scale factor, particularly how it results in side lengths that are smaller than the original. The tutorial guides viewers through the process of determining possible lengths for a side corresponding to a given side in the original quadrilateral. It emphasizes the importance of understanding scale factors and their effects on geometric figures, and concludes by helping viewers identify correct answers from a set of options.

What is the scale factor used by Ismail to create the scaled copy of the quadrilateral?

• Greater than one

• Equal to one

• Less than one

• Equal to zero

If the original length of side AD is 16 units, what can be said about its length in the scaled copy?

• It will be greater than 16 units

• It will be exactly 16 units

• It will be less than 16 units

• It will be zero units

How does the scale factor affect the entire quadrilateral?

• The area is unchanged

• Only the angles are scaled

• All sides are scaled by the same factor

• Only one side is scaled

Which of the following lengths could correspond to side AD in the scaled quadrilateral?

• 20 units

• 32 units

• 18 units

• 14 units

What would a scale factor of two imply for the length of side AD?

• The length would be halved

• The length would remain the same

• The length would double

• The length would be zero

If a scale factor of four is used, what would be the new length of side AD?

• 64 units

• 16 units

• 8 units

• 4 units

Why is a scale factor of 32 not suitable for this problem?

• It is equal to zero

• It is greater than one

• It is equal to one

• It is less than one