Complete the following table.

Item	m	cm	mm
a. Length of a piece of paper		35
b. Height of a woman	1.63
c. Width of a filmstrip			35
d. Length of a cigarette			100
e. Length of two meter-sticks laid end to end	2

a. Estimate the area in square centimeters that your handprint will cover.
b. Trace the outline of your hand on square-centimeter grid paper and use the outline to obtain an estimate for the area. Explain how you arrived at your estimate.

Circular-shaped cookies are to be packaged 48 to a box. Each cookie is approximately 1 cm thick and has a diameter of 6 cm. Design a box that will hold this volume of cookies and has the least amount of surface area.

A soup can has a $2\frac 5 8$ in. diameter and is 4 in. tall. What is the area of the paper that will be used to make the label for the can if the paper covers the entire lateral surface area?

Explain how similar triangles can be used to determine the height of a tree.

True or false: The line that joints the midpoints of two sides of a triangle creates a similar triangle whose perimeter is $\frac{1}{4}$ that of the original triangle.

Classify as true or false:

a) If the midpoints of two sides of a triangle are joined, the triangle formed is similar to the original triangle.

b) Any two isosceles triangles are similar.

True or false?

Two triangles are similar if two sides of one triangle are proportional to two sides of the other triangle.

Identify the statement as true or false. If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Answer true or false:

(a) All equilateral triangles are congruent.

(b) All equilateral triangles are similar.

If all vertices of a polygon are points on square-dot paper, the polygon is a lattice polygon. In 1899, Georg Pick discovered a surprising theorem involving I, the number of dots inside the polygon, and B, the number of dots that lie on the polygon. The theorem states that the area of any lattice polygon is I + $\frac 1 2$ B - 1. Check that this is true for the polygons in exercise 6.

Draw a net for a right prism that has surface area 80 $cm^2$ .

A student asks whether there is an ASA similarity condition for triangles. How do you respond?

If two isosceles triangles have non-base angles of $40^\circ$, are they similar? Justify your answer.