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to Go Math Grade 8 Chapter 11 Questions and Answers on our website. Choose the best and get the best. practice with perfection and get the best results by practicing with Go Math Grade 8 Chapter 11 Angle Relationships in Parallel Lines and Triangles Answer Key. Lesson 1: Parallel Lines Cut by a Transversal Lesson 2: Angle Theorems for Triangles Lesson 3: Angle-Angle Similarity Model Quiz Review Use the figure for Exercises
1–4. Question 1. Answer: Explanation: Question 2. Answer: Explanation: Question 3. Answer: Explanation: Question 4. Answer: Explanation: Question 5. Answer: ESSENTIAL QUESTION CHECK-IN Question 6. Answer: Explanation: 11.1 Independent Practice – Parallel Lines Cut by a Transversal – Page No. 351Vocabulary
Use the figure for Exercises 7–10. Question 7. Answer: Explanation: Question 8. Answer: Explanation: Question 9. Answer: Explanation: Question 10. Answer: Explanation: Find
each angle measure. Question 11. Answer: Explanation: Question 12. Answer: Explanation: Question 13. Answer: Explanation: Question 14. Answer: Explanation: Question 15. Answer: Explanation: Question 16. Answer: Explanation: Question 17. _________ ° Answer: Explanation: The larger angle formed at the intersection of the bike trail and 360th Street is the angle 5 in our schema. ∠5 and ∠3 are same-side interior angles. Therefore, m∠5 + m∠3 = 180º m∠5 + 48º = 180º m∠5 = 180º – 48º m∠5 = 132º Question 18. Answer: Explanation: Parallel Lines Cut by a Transversal – Page No. 352Question 19. Type below: ____________ Answer: FOCUS ON HIGHER ORDER THINKING Question 20. Answer: Question 21. Answer: We have to select ∠a form of eight angles that are formed. There are two other angles that are congruent to the angle ∠a. Two other angles are ∠e and ∠g. There are no supplementary to ∠a. If we select a different angle then the answer will also change. Question 22. ____________ Answer: Guided Practice – Angle Theorems for Triangles – Page No. 358Find each missing angle measure. Question
1. m∠M = _________ ° Answer: Explanation: Question 2. m∠Q = _________ ° Answer: Explanation: Use the Triangle Sum Theorem to find the measure of each angle in degrees. Question 3. m∠T = _________ ° m∠V = _________ ° m∠U = _________ ° Answer: Explanation: Question 4. m∠X = _________ ° m∠Y = _________ ° m∠Z = _________ ° Answer: Explanation: Use the Exterior Angle Theorem to find the measure of each angle in degrees. Question 5. m∠C = _________ ° m∠D = _________ ° Answer: Explanation: ∠DEC + 116° = 180° ∠E = ∠DEC = 180° – 116° = 64° The sum of the angles of a traingle = 180° ∠C +∠D + ∠E = 180° 4y° + (7y + 6)°+ 64° = 180° 11y° + 70° = 180° 11y° = 180° – 70° = 110° y = 10 ∠C = 4y° = 4. 10 = 40° ∠D = (7y + 6)° = ((7 . 10) + 6)° = (70 + 6)° = 76° Question 6. m∠L = _________ ° m∠M = _________ ° Answer: Explanation: ESSENTIAL QUESTION CHECK-IN Question 7. Answer: 11.2 Independent Practice – Angle Theorems for Triangles – Page No. 359Find the measure of each angle. Question 8. m∠E = _________ ° m∠F = _________ ° Answer: Explanation: Question 9. m∠T = _________ ° m∠V = _________ ° Answer: Explanation: Question 10. m∠G = _________ ° m∠H = _________ ° m∠J = _________ ° Answer: Explanation: Question 11. m∠Q = _________ ° m∠P = _________ ° m∠QRP = _________ ° Answer: Explanation: m∠R = m∠QRP = 180° – 153° = 27° From the Triangle Sum Theorem, the sum of the angles of the triangle is 180° m∠P + m∠Q + m∠R = 180° (3y + 5)° + (2y – 7)°+ 27° = 180° 5y° + 25 = 180° 5y° = 155° y = 31° m∠Q = (3y + 5)° = ((3 . 31°) + 5)° = 98° m∠P = (2y – 7)° = ((2. 31° – 7)° = 55° m∠QRP = 27° Question 12. m∠ACB = _________ ° m∠DCE = _________ ° m∠BCD = _________ ° Answer: Explanation: Question 13. m∠K = _________ ° m∠L = _________ ° m∠KML = _________ ° m∠LMN = _________ ° Answer: Explanation: Question 14. Answer: Explanation: Angle Theorems for Triangles – Page No. 360Question
15. Answer: Explanation: FOCUS ON HIGHER ORDER THINKING Question 16. Answer: Explanation: Question 17. Sum: _________ ° Answer: Question 17. Answer: Question 18. Answer: Guided Practice – Angle-Angle Similarity – Page No. 366Question 1. Type below: ___________ △ABC has angle measures _______and △DEF has angle measures______. Because _______in one triangle are congruent to ______in the other triangle, the triangles are_____. Answer: Question 2. _________ ft Answer: Explanation: Question 3. ∠BAC and∠EDC are ___________ since they are ___________. ∠ABC and∠DEC are ___________ since they are ___________. By ________, △ABC and△DEC are ___________. Type below: ___________ Answer: ESSENTIAL QUESTION CHECK-IN Question 4. Answer: 11.3 Independent Practice – Angle-Angle Similarity – Page No. 367Use the diagrams for Exercises 5–7. Question 5. Answer: Explanation: Question 6. Answer: Question 7. Answer: Explanation: Question 8. a. How tall is the tree? h = ________ ft Answer: Explanation: Question 8. Answer: Explanation: Question 9. Answer: Explanation: 3/15 = 5/h 15 ×3 = 3h 75 = 3h h = 75/3 = 25 Question 10. Answer: Angle-Angle Similarity – Page No. 368Question 11. \(\frac{3.4}{6.5}=\frac{h}{19.5}\) 19.5 × \(\frac{3.4}{6.5}=\frac{h}{19.5}\) × 19.5 \(\frac{66.3}{6.5}\) = h 10.2cm = h Type below: ___________ Answer: FOCUS ON HIGHER ORDER THINKING Question 12. Answer: Question 13. Answer: Question 14. Answer: Ready to Go On? – Model Quiz – Page No. 36911.1 Parallel Lines Cut by a Transversal In the figure, line p || line q. Find the measure of each angle if m∠8
= 115°. Question 1. Answer: Explanation: Question 2. Answer: Explanation: Question 3. Answer: Explanation: 11.2 Angle Theorems for Triangles Find the measure of each angle. Question 4. Answer: Explanation: Question 5. Answer: Explanation: Question 6. Answer: Explanation: 11.3 Angle-Angle Similarity Triangle FEG is similar to triangle IHJ. Find the missing values. Question 7. Answer: Explanation: Question 8. Answer: Explanation: Question 9. Answer: Explanation: ESSENTIAL QUESTION Question 10. Answer: Selected Response – Mixed Review – Page No. 370Use the figure for Exercises 1 and 2. Question 1. Answer: Explanation: Question 2. Answer: Explanation: Question
3. Answer: Explanation: Question 4. Options: A. 36° B. 38° C. 40° D 70° Answer: Explanation: Question 5. Answer: Explanation: Question 6. Answer: Explanation: Mini-Task Question 7. a. What is the value of x? x = ________ Answer: Explanation: Question 7. Answer: Explanation: Question 7. Answer: Explanation: Question 7. Answer: Explanation: Conclusion:Go Math Grade 8 Answer Key Chapter 11 Angle Relationships in Parallel Lines and Triangles PDF for the best practice. Practice all the math questions available on Grade 8 Text Book and learn how to solve Grade 8 math questions in a simple way. How do you answer parallel lines cut by a transversal?If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
What is transversal line class 7th?Transversal lines. A line that intersects two or more lines in a plane at distinct points is called a transversal line. Here, line mn intersects two lines AB and CD at two distinct points O and P respectively.
What is transversal line class 9th?A line that intersects two or more straight lines at distinct points is called a transversal line.
Can a transversal cut 3 lines?In Chapter 1 we defined a transversal to be a line which intersects two other lines, We will now extend the definition to a line which intersects three other lines. In Figure 4.3. 1, AB is a transversal to three lines.
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