To create a scale drawing of the triangle using a scale factor of 3, you’ll need to enlarge each dimension of the original triangle by multiplying it by 3.

Original Triangle Dimensions

• Height: 2 units
• Base: 4 units

Scaled Triangle Dimensions

Using a scale factor of 3:

• New Height = $2 \times 3 = 6$ units
• New Base = $4 \times 3 = 12$ units

Drawing the Scaled Triangle

1. Starting from a point on the grid, draw a line segment that is 12 units long for the base.
2. From one end of this base, draw a perpendicular line that is 6 units tall for the height.
3. Connect the top of the height line back to the other end of the base to complete the triangle.

This will give you a scaled triangle that is similar to the original but three times larger in each dimension.

Would you like further details on how to complete this scale drawing?

Further Questions for Exploration:

1. What would happen to the area of the triangle with a scale factor of 3?
2. How would you scale the triangle by a factor of 1.5 instead of 3?
3. If the base was 5 units instead of 4, how would the scaled triangle dimensions change?
4. Can the scale factor be a fraction, and how would that affect the drawing?
5. How does scaling impact the angles in a triangle?

Tip:

When scaling a shape, all linear dimensions (like base and height) are multiplied by the scale factor, but area increases by the square of the scale factor.