Justifying Line and Angle Relationships Gothing Marton Activity Talk ACTIVITY 5 the Talk TOPIC 2 LESSON 4 MATHia CONNECTION Using Triangle Theorems Solving Problems HABITS OF MIND with Congruence . Reason abstractly and quantitatively. . Construct viable arguments and critique the reasoning of others. > Use any theorems you have proven to solve each problem. Explain each answer. 1 Calculate AP if the perimeter of AAYP 2 Calculate mcT. is 43 cm. M 1170 70 13 cm 70 25 ft 3 Lighting booms on a Ferris wheel consist of four steel beams that have cabling with light bulbs attached. These beams, along with three shorter beams, form the edges 5 ft of three congruent isosceles triangles, as shown. Maintenance crews install new lighting along the four longer beams. Calculate the total length of lighting needed. @ Camegie Learning. Inc. 348 Topic 2 > Justifying Line and Angle RelationshipsACTIVITY 5 Continued 4 Given: ST = SR, TA = RA. Explain why LT = ZR. TOPIC 2 5 A broadcast antenna is on top of a tower. The signal travels from the antenna to your house so you can watch TV. Consider the diagram to calculate the height of the tower and the distance the signal travels. Antenna 60 30 500 ft House 900 6 This stamp is from Mongolia. Suppose the longest side of this stamp is 50 @ Carnegie Learning, Inc. millimeters. Determine the approximate length of the other sides of this stamp. Round your answer to the nearest tenth 20 AIR MAIL of a millimeter. 450 450 MORTON WYYAAH MONGOLIA Lesson 4 > Identical Twins 349ACTIVITY 5 Continued 7 This stamp is from the Netherlands. Suppose the length of each side of the Netherlands stamp is 40 millimeters. Use the 30"-60"-90" Triangle Theorem to determine the height of the stamp. CA LUCHTPOSTZEGEL VOOR 30 NEDERLAND C 8 In 1929, Uruguay issued a triangular parcel post stamp BO URUGUAY with sides equal in measure. Suppose the height of the S DE GRANJA Uruguay stamp is 30 millimeters. Use the 30-60-90 ENCOMIENDATO CENTS Triangle Theorem to determine the length of the three 10 CENTI sides of the stamp. @ Carnegie Learning, Inc. 350 Topic 2 > Justifying Line and Angle Relationships