The document discusses geometry problems involving scale factors, areas and volumes of figures, properties of parallelograms and rectangles, and finding equations of lines. It includes finding the new area of a figure when its dimensions are multiplied by a scale factor of 4, proving all angles of a rectangle are right angles if one angle is right, and determining the value of a scale factor k when the original figure has an area of 30 cm^2 and the new figure has a volume of 270 cm^3.

1. Geometry
Workshop
il buco nero by flickr user paolo màrgari

2. 2
The area of figure F is 30 cm . If the dimensions of figure F
are multiplied by a scale factor of 4, what is the area of the
new figure?

4. Prove that if a parallelogram has one right angle then all its angles are
right angles, that is, the angles of a rectangle are all right angles.

5. The segment AB with A(5, –3) and B(–1, 3) is a diagonal of a
square. Find an equation of the line containing the other diagonal.
HOMEWORK

6. The volume of solid S is 24 m 3 . If the dimensions of S are tripled,
what is the volume of the newly formed solid?

8. The area of figure F is 30 cm2 . Its dimensions are multiplied by a
scale factor k to form a new figure with volume 270 cm 3 . What is
the value of k?