TOPOC: SIMILARITY OF TRIANGLES SPECIFICALLY RIGHT TRIANBGLE SIMILARITY THEOREM AND RIGHT TRIANGLE THEOREM

Activity 2: I am Special. Apply the theorems on special right triangles to answer the following. Simplify your answers. (for nos. 1-5, refer to figure 1) Given: ACAT is an isosceles right triangle C 1. Find CT if AC = 7. 45 0 2. What is the measure of AC if AT = 9? 3. If CT = 22, then AT = 4. Give the measure of CT if AC = V3. 450 A 5. What is the measure AC if CT = 30? fig. 1 (for nos. 6-10, refer to figure 2) D 6. What is the length of DG if OG = 16? 7. Find the length of DO if OG = V5 . 8. If the length of DG = 24, then OD = 9. What is the measure of the hypotenuse if the longer leg is 21? 60 10. What is the measure of the shorter leg if the hypotenuse is 4v2 ? O G fig. 2Activities Activity 1: Mark my Word! Given AHOT, with ZHOT as the right angle. OS is the altitude to the hypotenuse #7. Fill in the blanks by underlining the correct letter of your choice. Write the letter in the box corresponding to the number grid below to find the mystery word. S 5v5 2V5 1. If TS - 5 and HS = 20, then OT = 2 D V 2. If TS = 3 and HS = 9, then OH = 9V3 6V3 O 3. If TS = 2 and HS =8, then OS - 16 4V/2 4V5 C A E 4. If TS = 2 and TH =16, then OT - 2V2 4V/2 3V2 2V3 G V E 5. If TS = 4 and TH =10, then OH = 2V15 3V15 4V15 V15 A R C S 6. If TS = 5 and TH =20, then OS =_ 3V5 10 3V7 5V3 S L O T 7. If SH = 20 and TH =30, then OS = 10v6 6V10 10v2 10V6 S K M 8. If SH = 12 and TH =22, then OS -_ 2v55 2V66 2V30 60 B L O W 9. If TS = 7 and TH = 25, then OH = 3v5 15V2 9V2 5v3 K N O W 10, If TS - 7 and TH - 25, then OS = 3v14 4v14 14V3 14V/2 S O A R 5 7 8 10 Look for the meaning of the word. 7 Mathematics 9 Quarter 3 Week 7