AIM: What happens when we draw an altitude in a right triangle?
HW: Read pp. 391-393 (§ 7-4). Do questions p. 394 #9–21, 38. Show work for credit.
Do Now: Solve for x. Solve for y.
x/3 = 12/x 7/y = y/4
Students learned that an altitude is a line drawn through a vertex of a triangle that meets the opposite side at a perpedicular. We looked at some examples of altitudes and then narrowed our focus to altitude drawn in a right triangle. We noticed that three triangles are formed. By AA similarity, each of the triangles are similar to each other. Using this, we were able to set up proportions to solve for missing side measurements.
From the last week before winter holiday break: We investigated the shortcuts for triangle similarity. We learned that you can use the following shortcuts:
AA similarity (If two corresponding angles are congruent, triangles are similar)
SAS similarity (If two corresponding sides are proportional and their included angle is congruent, triangles are similar)
SSS similarity (If all corresponding sides are proportional, triangles are similar)
We applied the shortcuts to determine similar triangles and/or solve for missing pieces in similar triangles.