Hyperbolas
Establish an x-axis on quadrille paper. Put the center at the origin and the foci on the xaxis symmetrically about the center.
Construct the hyperbola using the tongue-depressor-type thing. This took me numerous
tries.
Identify three points. Fill in the table below.
point
distance to left focus, in cm distance to rt focus, in cm difference in distances
Do the differences seem to be constant?
Similar triangles
Take the sheet with triangles to a copier and enlarge or reduce the images, as you chose.
Identify the image and % reduction/enlargement.
Label sides. Complete table below
Original
side label
Original
side length
Original
side label
Original
side length
Ratio of original
side lengths
Copied
side label
Copied
side length
Copied
side label
Copied
side length
Ratio of copied
side lengths
Original
side label
Original
side length
Original
side label
Original
side length
Ratio of original
side lengths
Copied
side label
Copied
side length
Copied
side label
Copied
side length
Ratio of copied
side lengths
Original
side label
Original
side length
Original
side label
Original
side length
Ratio of original
side lengths
Copied
side label
Copied
side length
Copied
side label
Copied
side length
Ratio of copied
side lengths
Does the ratio of corresponding sides seem to be constant?
What does it mean for triangles to be similar?