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GEOMETRY MODULE 2 LESSON 25 INCREDIBLY USEFUL RATIOS OPENING EXERCISE Use your notes from Lesson 24 to label each side of the triangles below. 1 1 WORKBOOK Complete Exercise 1 thru 3. DISCUSSION Another common way of labeling the sides of triangles is to make use of the relationship between a vertex and the side opposite the vertex and the lowercase letter of each vertex angle. MOD2 L25 1 Another set of labels is specific to right triangles. Label ∠𝐵 as the right angle. Of the two acute angles, we will focus our attention on labeling ∠𝐴. Mark ∠𝐴 with a single arc. ̅̅̅̅ is the opposite side, label as opp. With respect to ∠𝐴, side 𝐵𝐶 ̅̅̅̅ is the adjacent side, label as adj. With respect to ∠𝐴, side 𝐴𝐵 The hypotenuse is always opposite the 90° angle. Label as hyp. WORKBOOK Complete Exercise 4 thru 6. MOD2 L25 2 GROUP ACTIVITY Group 1: Left side of room complete the chart for Group 1. Use triangles on page 193 Group 2: Right side of room complete the chart for Group 2. Use triangles on page 195 𝑜𝑝𝑝 𝑎𝑑𝑗 NOTE: Regardless of the side measures, the ratios for ℎ𝑦𝑝 and ℎ𝑦𝑝 always results in the same value for corresponding congruent angles. Compare the rows between the two charts. MOD2 L25 3 WORKBOOK 10. From a point 120 m away from a building, Serena measures the angle between the ground and the top of a building and finds it measures 41°. What is the height of the building? Round to the nearest meter. SUMMARY HOMEWORK Problem Set Module 2 Lesson 25 page 189: #1-7 Due: Wednesday, Dec 14 (Corrections) No late work will be accepted after this date. MOD2 L25 4