Question

2) AABC and ADEF are shown below. The

m/A=51°and m/F =39°. Is AABC~ADEF?
Fill in the blanks with words from the
word bank then read it to see if it
sounds correct.
the triangles are
because all angles
and the sides are
Word bank: yes, no, maybe, parallel,
vertical angles, corresponding,
complimentary, congruent, right angles,
similar, proportional.

Answer 1

Yes, the triangles are similar, because all angles are congruent and the sides are proportional.

Explanation:

In similar triangles the corresponding angles have the same measurement. The sum of the interior angles of a triangle is 180. Both triangles have a 90 angle. 180-90 = 90. The other two answer must add to 90.

90 - 51 = 39. So each triangle has a 90, 51 and 39 degree angle.

The sides are also proportional. The scale factor from the smaller triangle to the larger is 2 and if you go the other way the scale factor is 1/2