IM2.6 Review 1: Similarity and angle relationships
Find the missing sides and angles for 1-6 above.
7.[br]a. What is the relationship between the large triangle and the two smaller ones? Why?[br]b. Solve for h,x,y.[br]c. Find the measures of the acute angles in the diagram.
8. In the diagram above, [math]d\parallel c,a\parallel b[/math] and segment m=7.4. Find the lengths of the remaining segments f-l.
9. Construction task
a. Construct parallelogram ABCD. [br]b. Construct midpoints M,N,O,P of the sides of parallelogram ABCD (AMB collinear, BNC collinear, COD collinear, DPA collinear).[br]c. Construct segments NP, CA, OM. Create point W at the intersection of these three segments.[br]
d. Describe a sequence of similarity transformations that takes [math]\Delta AMW\longrightarrow\Delta CDA[/math]. Be precise and use your best academic language.
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.