. If PQRS∼ TUVW, then we simply create a ration of the lengthd of two corresponding sides of two polygons.
∠R≅ ___ ; ∠Q≅ ___ ; = ___ ; x = ___
The scale factor of PQRS ∼ TUVW is ___.

II. Using the figure below, name the three similar triangles.
3-4. Δ ~ ________ ~ __________




III. Answer the following:
5. In the given figure, △ADE ∼ △ABC. Which triangle similarity theorem justifies this similarity?



6.If for two polygons corresponding angles are ___ and corresponding sides are___, then the polygons are similar.
7. If the scale factor between two similar triangles is one, then the triangles are___.
8. To find the length of the hypotenuse of a 45°-45°-90° triangle, multiply the length of one of the legs by ___.
9.Given: p ∥ q
Which of the following is not necessarily true?
a.AB : AC = AE : AD
b.∠ACD ≅ ∠ABE
c.AB : BC = AE : ED
d.AB : ED = AE : BC
e.m∠BED + m∠CDA = 180

IV. Answer the following problems correctly. Show your complete solution.
10. The length of the hypotenuse of a 45°-45°-90° triangle is 10√3 m. Find the length of the legs. (1pt.)