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IM2.6 Review 1: Similarity and angle relationships

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Find the missing sides and angles for 1-6 above.

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7. a. What is the relationship between the large triangle and the two smaller ones? Why? b. Solve for h,x,y. c. Find the measures of the acute angles in the diagram.

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8. In the diagram above,  and segment m=7.4. Find the lengths of the remaining segments f-l.

9. Construction task

a. Construct parallelogram ABCD. b. Construct midpoints M,N,O,P of the sides of parallelogram ABCD (AMB collinear, BNC collinear, COD collinear, DPA collinear). c. Construct segments NP, CA, OM. Create point W at the intersection of these three segments.

d. Describe a sequence of similarity transformations that takes . Be precise and use your best academic language.

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a. State the pair of similar triangles.  Which similarity criterion guarantees their similarity (choose from AA, SAS, SSS)?b.Calculate DE to the hundredths place.