Problem 8
Graph each quadrilateral using the given vertices. Then use the distance formula and the slope formula to determine the most specific name for each quadrilateral: trapezoid, kite, rectangle, rhombus, square, parallelogram, or just quadrilateral. $$E(1,-2), F(5,-5), G(2,-8), H(-2,-5)$$
Problem 12
The lengths of the three sides of a right triangle are consecutive even integers. Find them.
Problem 13
Mount Fuji, the active volcano in Honshu, Japan, is 3776 m high and has a slope of approximately \(30^{\circ} .\) Mount Etna, in Sicily, is \(3350 \mathrm{m}\) high and approximately \(50 \mathrm{km}\) across the base. If you assume they both can be approximated by cones, which volcano is larger?
Problem 15
The lengths of the three sides of a right triangle are consecutive integers. Find them
Problem 16
A rectangular garden 6 meters wide has a diagonal measuring 10 meters. Find the perimeter of the garden.
Problem 20
Construct a circle and a chord in a circle. With compass and straightedge, construct a second chord parallel and congruent to the first chord. Explain your method.