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ponding parts of congruent triangles require a knowledge that two triangles are congruent if their vertices e corresponding sides are congruent and corresponding angles are congruent fer to the fimum

ponding parts of congruent triangles require a knowledge that two triangles are congruent if their vertices e corresponding sides are congruent and corresponding angles are congruent fer to the fimum

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 42E: There are plans to locate a disaster response agency in an area that is prone to tornadic activity....
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sy - 30 name) eek No. 6 April 26 - 30, 2021 etency: Solves corresponding parts of congruent triangles (M8GE-Ilf-11 (First Name) (MI.) Grade & Section: Learning Task A: IfA ACT A SHE, complete the congruence statement or find the indicated measure (Grade) Scores: Written Output: (Section) 1. ET 2. ZH- Performance Task: = CT 4. SH = 5. ES - 6. ZE - 7. 8. LA- 9. CT- 3. Solving Corresponding Parts of Congruent Triangles Topic 10. ACAT A corresponding parts of congruent triangles require a knowledge that two triangles are congruent if their vertices hat the corresponding sides are congrueint and corresponding angles are congruent 11 Gnits Learning Task B: Answer the following, refer to the figure I Given: ABYP = APSB -3, refer to the figure at the right. TIP = ARAY 1. What is the measure of PS ? 2. Which is the corresponding part of BY? 94 cm 3. What is the measure of LY? E is the measure of ZR? 4. What is the measure of Y P ? 45 5. Which is the corresponding part of 2S ? nd 2 T 80° - (75° + 45°) 80° - 120° 0° , identify the congruent angles TIP E A RAY Figure 1 75 Learning Task C: Solve each of the following. E L R, 21=LA and 4 Pe LY. TEZRand 2T - 60° .ZR= 60° 1. Triangles ABC and DEF are congruent. If LABC= 67" and 4 EDF = 79, what is the measure of LEFD? 2. Given: AUBD = ADIR, UB = 28, BD = 36, UD - 43 and DR -2x + 3. What is the value of x? 3. Given: ASIT = AABC, 2S = 40°, 2l = 55°, AB- 3x+2 cm and Si -11em. Find value of x and the measure of 4C. 4. If AABC E APQR, AB = 8x, BC - Sx -1, PR - 2x+3 and PQ - 4x+4, Find PR. 5. If AQED E ACAT, QE - 9x, ED = 4x +3, DQ - 5x+2 and AT =x+9. Find CT R Y. is the measure of LA? Example 3. What is the value of x? ample no. I, IELA | = 45°. re, LA= 45° Solution: From example no.2, LA = 45° LA = (3x)° 3x° = 45° 3x- 45 3 3 x= 15° from the figure by transitive property divide both sides of the equation by 3 Assessment: Read each statement carefully and encircle the letter that corresponds to the correct answer. 1. If the corresponding sides of congruent triangles measures (5x - 10y yd and (3x+18)" yd. What is the value of x? C. 14 A. 10 B. 12 D. 16 For mumbers 2- 3, refer the Figure 1 at the right. Given: A POT SA SUM Figure 1 6, refer to the figure at the right. 2. What is the measure of side PT? A. 16 m (5y - 12) in C. 51 m B. 32 m D. 63 m Is the measure of IM? 3. What is the measure of 4M? A. 40 D. 75" B. 55° C. 65" atify the congnuent sides WIN ASIM E Ši, IN = IM and WN = SM 2 IM and IN = 10 in For numbers 4 - 5, refer the Figure 2 at the vight. Given: A MAP 2 A EHP Figure 2 12 in M 76 n 4. What is the value of x? A. 9 IM = 10 in B. 10 C. 11 D. 12 s the measure of x? Example 6: What is the value of y? Solution: Since y is in WI, and the corresponding side of WI is SI then, WI = 5y - 12 and 5I = 18 where, Wi = 3T, 5. What is the value of y? A. 28 в 30 C. 45 D. 52 s in SM = 6x and WN = 24, M = WN. therefore, 5y - 12 = 18 Sy - 12 + 12 =18 + 12 Add 12 in both sides of the equation Sy = 30 Divide both sides of the equation by 6 30 sy = Divide both sides of the equation by 5 y = 6 "A man's mind, stretc may never retum to its or Olivem "A man's mind, stretched by new ideas, may never relurn to its original dimensions. Oliver Wendell Holmes Jr 7 uhits sarun 6 40 cm 18 in 24 in
Transcribed Image Text:sy - 30 name) eek No. 6 April 26 - 30, 2021 etency: Solves corresponding parts of congruent triangles (M8GE-Ilf-11 (First Name) (MI.) Grade & Section: Learning Task A: IfA ACT A SHE, complete the congruence statement or find the indicated measure (Grade) Scores: Written Output: (Section) 1. ET 2. ZH- Performance Task: = CT 4. SH = 5. ES - 6. ZE - 7. 8. LA- 9. CT- 3. Solving Corresponding Parts of Congruent Triangles Topic 10. ACAT A corresponding parts of congruent triangles require a knowledge that two triangles are congruent if their vertices hat the corresponding sides are congrueint and corresponding angles are congruent 11 Gnits Learning Task B: Answer the following, refer to the figure I Given: ABYP = APSB -3, refer to the figure at the right. TIP = ARAY 1. What is the measure of PS ? 2. Which is the corresponding part of BY? 94 cm 3. What is the measure of LY? E is the measure of ZR? 4. What is the measure of Y P ? 45 5. Which is the corresponding part of 2S ? nd 2 T 80° - (75° + 45°) 80° - 120° 0° , identify the congruent angles TIP E A RAY Figure 1 75 Learning Task C: Solve each of the following. E L R, 21=LA and 4 Pe LY. TEZRand 2T - 60° .ZR= 60° 1. Triangles ABC and DEF are congruent. If LABC= 67" and 4 EDF = 79, what is the measure of LEFD? 2. Given: AUBD = ADIR, UB = 28, BD = 36, UD - 43 and DR -2x + 3. What is the value of x? 3. Given: ASIT = AABC, 2S = 40°, 2l = 55°, AB- 3x+2 cm and Si -11em. Find value of x and the measure of 4C. 4. If AABC E APQR, AB = 8x, BC - Sx -1, PR - 2x+3 and PQ - 4x+4, Find PR. 5. If AQED E ACAT, QE - 9x, ED = 4x +3, DQ - 5x+2 and AT =x+9. Find CT R Y. is the measure of LA? Example 3. What is the value of x? ample no. I, IELA | = 45°. re, LA= 45° Solution: From example no.2, LA = 45° LA = (3x)° 3x° = 45° 3x- 45 3 3 x= 15° from the figure by transitive property divide both sides of the equation by 3 Assessment: Read each statement carefully and encircle the letter that corresponds to the correct answer. 1. If the corresponding sides of congruent triangles measures (5x - 10y yd and (3x+18)" yd. What is the value of x? C. 14 A. 10 B. 12 D. 16 For mumbers 2- 3, refer the Figure 1 at the right. Given: A POT SA SUM Figure 1 6, refer to the figure at the right. 2. What is the measure of side PT? A. 16 m (5y - 12) in C. 51 m B. 32 m D. 63 m Is the measure of IM? 3. What is the measure of 4M? A. 40 D. 75" B. 55° C. 65" atify the congnuent sides WIN ASIM E Ši, IN = IM and WN = SM 2 IM and IN = 10 in For numbers 4 - 5, refer the Figure 2 at the vight. Given: A MAP 2 A EHP Figure 2 12 in M 76 n 4. What is the value of x? A. 9 IM = 10 in B. 10 C. 11 D. 12 s the measure of x? Example 6: What is the value of y? Solution: Since y is in WI, and the corresponding side of WI is SI then, WI = 5y - 12 and 5I = 18 where, Wi = 3T, 5. What is the value of y? A. 28 в 30 C. 45 D. 52 s in SM = 6x and WN = 24, M = WN. therefore, 5y - 12 = 18 Sy - 12 + 12 =18 + 12 Add 12 in both sides of the equation Sy = 30 Divide both sides of the equation by 6 30 sy = Divide both sides of the equation by 5 y = 6 "A man's mind, stretc may never retum to its or Olivem "A man's mind, stretched by new ideas, may never relurn to its original dimensions. Oliver Wendell Holmes Jr 7 uhits sarun 6 40 cm 18 in 24 in
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