31. Make Sense and Persevere The bottom of a hemispherical cake has diameter 8 in.
8 in.
a. If the cake is sliced horizontally in half so each
piece has the same height would the top half
fit on a plate with diameter 6 in.? Explain.
b. If the cake is sliced horizontally in thirds so
each piece has the same height, would the
top third fit on a plate with diameter 5 in.?
Explain.

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap