Question

investigate reductions and enlargements

1. use tools in the space provided, sketch an enlargement that has sides 3/2 the length of each given figure.
2. a. use the coordinate plane to sketch a reduction of the irregular pentagon on the grid by any amount.

Explanation:

Step1: Understand the scale - factor for enlargement

The scale - factor for the enlargement is $\frac{3}{2}=1.5$. This means each side of the new figure will be 1.5 times the length of the corresponding side of the original figure.

Step2: For the triangle

Measure the lengths of the sides of the given triangle. Multiply each side - length by 1.5. Then, using a ruler and a protractor (if needed to maintain the angles), draw a new triangle with the calculated side - lengths.

Step3: For the trapezoid

Measure the lengths of all the sides (the two parallel sides and the two non - parallel sides) of the given trapezoid. Multiply each side - length by 1.5. Then, draw a new trapezoid with the new side - lengths, keeping the angles the same as in the original trapezoid.

Step4: For the rhombus

Measure the length of a side of the given rhombus (since all sides of a rhombus are equal). Multiply this side - length by 1.5. Then, draw a new rhombus with the new side - length, keeping the angles the same as in the original rhombus.

Answer:

Sketch the enlarged triangle, trapezoid and rhombus with sides $\frac{3}{2}$ times the length of the original figures as described above.