Question

here are 3 polygons. draw a scaled copy of polygon a using a scale factor of 2. draw a scaled copy of polygon b using a scale factor of 1/2. draw a scaled copy of polygon c using a scale factor of 3/2.

Explanation:

for Scaling Polygon A (Scale Factor 2)

Step1: Identify Original Sides/Angles

For Polygon A (a triangle), measure or note the lengths of its sides (e.g., base \( b \), two other sides \( s_1, s_2 \)) and angles.

Step2: Apply Scale Factor

Multiply each side length by 2: new base \( b' = 2b \), new sides \( s_1' = 2s_1 \), \( s_2' = 2s_2 \). Angles remain the same (similar triangles have equal angles).

Step3: Draw the Scaled Triangle

Using the new side lengths, draw a triangle with the same angle measures as Polygon A, ensuring proportionality.

for Scaling Polygon B (Scale Factor \( \frac{1}{2} \))

Step1: Identify Original Sides/Angles

For Polygon B (a rhombus), note side length \( s \) and angle measures.

Step2: Apply Scale Factor

Multiply side length by \( \frac{1}{2} \): new side length \( s' = \frac{1}{2}s \). Angles remain unchanged (similar rhombuses have equal angles).

Step3: Draw the Scaled Rhombus

Draw a rhombus with side length \( s' \) and the same angle measures as Polygon B.

for Scaling Polygon C (Scale Factor \( \frac{3}{2} \))

Step1: Identify Original Sides/Angles

For Polygon C (a parallelogram), note side lengths \( l \) (length) and \( w \) (width), and angle measures.

Step2: Apply Scale Factor

Multiply side lengths by \( \frac{3}{2} \): new length \( l' = \frac{3}{2}l \), new width \( w' = \frac{3}{2}w \). Angles remain the same (similar parallelograms have equal angles).

Step3: Draw the Scaled Parallelogram

Draw a parallelogram with side lengths \( l' \) and \( w' \), and the same angle measures as Polygon C.

Answer:

To solve, follow these steps for each polygon:

1. Polygon A (Scale Factor 2): Measure original side lengths, double each length, and redraw the triangle with equal angles.
2. Polygon B (Scale Factor \( \frac{1}{2} \)): Measure original side length, halve it, and redraw the rhombus with equal angles.
3. Polygon C (Scale Factor \( \frac{3}{2} \)): Measure original side lengths, multiply by \( \frac{3}{2} \), and redraw the parallelogram with equal angles.

(Note: Actual drawing requires using a ruler/protractor to ensure proportionality and equal angles.)