5.5 – 5.6 Review G eometry Name___________________________ I can order the angles & sides of a triangle from smallest to largest. List the sides and the angles in order from smallest to largest. 1.) 2.) 3.) 4.) This one’s tricky!! I can determine which combinations of side lengths form a triangle. Is it possible to construct a triangle with the given side lengths? If not, explain why not. 5.) 22, 26, 65 6.) 1, 4, 6 7.) 17, 17, 33 Describe the possible side lengths of the third side of the triangle given the lengths of the other two sides. 8.) 4 ft, 12 ft 9.) 9 m, 18 m 10.) 7 ft, 24 in Is it possible to build a triangle using the given side lengths? List the sides in order from smallest to largest. (Hint: Try converting to decimals!) 11.) 46, 3 5, 5 12.) 26, 4 5, 2 2 13.) Describe the possible values of x. 14.) Application: You are standing 200 feet from a tall building. The angle of elevation from your feet to the top of the building is 51˚ (as shown in the figure). What can you say about the height of the building? I can use the Hinge Theorem to compare sides/angles of triangles. Complete with <, >, or =. 15.) 16.) 17.) 18.) m∠1 __?__ m∠2 19.) m∠1 __?__ m∠2 20.) m∠1 __?__ m∠2 Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x. 21.) 22.) 23.) Given the triangles below, if 𝑍𝑌 ≅ 𝐶𝐵, 𝑋𝑌 ≅ 𝐴𝐵, and m∠B < m∠Y, use the Hinge Theorem to write a statement comparing two sides of the triangles. 25.) MULTIPLE CHOICE: In ΔPQR and ΔEGF, 𝑃𝑅 ≅ 𝐸𝐹, 𝑄𝑅 ≅ 𝐺𝐹, PQ = 18 cm, EG = 24 cm, and m∠R = 65˚. Which angle measure is reasonable for ∠F? [Hint: Try drawing a picture of the 2 triangles] a.) 55˚ b.) 65˚ c.) 70 ˚ d.) 60 ˚