Understanding Scale Factors and Ratios

The video tutorial explains how to find the ratio between two triangles, A and B, and determine whether the transformation is an enlargement or a reduction. It discusses the concept of scale factors, explaining that a scale factor greater than one indicates enlargement, while a scale factor less than one indicates reduction. The tutorial provides a practical example using lengths along the x-axis to calculate the ratio and determine that the larger triangle is double the size of the smaller one, with a scale factor of two.

What is the primary goal when finding the ratio between triangles A and B?

• To calculate the area of the triangles

• To see if the transformation is an enlargement or reduction

• To find out if the triangles are congruent

• To determine the color of the triangles

Tags

CCSS.8.G.A.3

What does a scale factor greater than one indicate?

• The shape is unchanged

• The shape is reduced

• The shape is enlarged

• The shape is rotated

Tags

CCSS.8.G.A.3

If the scale factor is less than one, what happens to the size of the shape?

• It remains the same

• It is enlarged

• It is reduced

• It is mirrored

Tags

CCSS.6.G.A.3

What is the length of triangle A along the x-axis?

• 4 units

• 6 units

• 3 units

• 5 units

Tags

CCSS.6.G.A.3

What is the length of triangle B along the x-axis?

• 8 units

• 7 units

• 9 units

• 6 units

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of the lengths from A to B?

• 4:8

• 8:4

• 1:2

• 2:1

Tags

CCSS.8.G.A.3

How is the ratio 8:4 interpreted in terms of enlargement?

• The larger triangle is half the size of the smaller one

• The larger triangle is double the size of the smaller one

• The triangles are the same size

• The larger triangle is triple the size of the smaller one

Tags

CCSS.6.RP.A.3A

What would the ratio 4:8 imply if interpreted incorrectly?

• A is three times the size of B

• A is twice the size of B

• A is half the size of B

• A is the same size as B

Tags

CCSS.7.G.A.1

What is the correct scale factor to enlarge triangle A to triangle B?

• 1

• 1.5

• 2

• 2.5

Tags

CCSS.RI.6.2

CCSS.RI.7.2

CCSS.RI.8.2

CCSS.RL.6.2

CCSS.RL.8.2

What is the main concept emphasized in the final section?

• The importance of triangle color

• The congruence of triangles

• The calculation of triangle area

• The correct interpretation of the scale factor

Tags

CCSS.RI.6.2

CCSS.RI.7.2

CCSS.RI.8.2

CCSS.RL.7.2

CCSS.RL.8.2