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В In Exercises 1-5, use the graph of AABC. 1. In AABC, show that the midsegment ED is 2 parallel to BC and that ED = BC. 2 D -1 2. Find the coordinates of the endpoints of 2- C midsegment EF, which is opposite AC. 3. Show that EF is parallel to AC and that EF = AC. %3D

В In Exercises 1-5, use the graph of AABC. 1. In AABC, show that the midsegment ED is 2 parallel to BC and that ED = BC. 2 D -1 2. Find the coordinates of the endpoints of 2- C midsegment EF, which is opposite AC. 3. Show that EF is parallel to AC and that EF = AC. %3D

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
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6.4 Practice A A AYE In Exercises 1-5, use the graph of AABC. B. 1. In AABC, show that the midsegment ED is 2- parallel to BC and that ED = 2 1BC. -1 2 2. Find the coordinates of the endpoints of midsegment EF, which is opposite AC. 1AC. 3. Show that EF is parallel to AC and that EF 4. State the coordinates of the endpoints of midsegment DF. 5. Show that DF is parallel to AB and DF = 4 2 AB. АВ. %3D In Exercises 6-11, use AQRS where A, B, and C are the midpoints of the sides. 6. When AB = 16, what is QS? R 7. When SR = 68, what is CA? 8. When SR = 46, what is BR? %3D C. B. 9. When CA = 3x - 1 and SR = 5x + 4, what is CA? %3D %3D 10. When OS = 6x and CS = 5x - 8, what is AB? %3D %3D 11. When OR = 5x + 2 and CB = 2x + 5, what is AR? %3D 12. Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the midsegment triangle is half the perimeter of the original triangle. Is your friend correct? Explain your reasoning. 13. A building has the shape of a pyramid with a square base. The midsegment parallel to the ground of each triangular face of the pyramid has a length of 58 feet. Find the length of the base the pyramid. 58 ft
Transcribed Image Text:6.4 Practice A A AYE In Exercises 1-5, use the graph of AABC. B. 1. In AABC, show that the midsegment ED is 2- parallel to BC and that ED = 2 1BC. -1 2 2. Find the coordinates of the endpoints of midsegment EF, which is opposite AC. 1AC. 3. Show that EF is parallel to AC and that EF 4. State the coordinates of the endpoints of midsegment DF. 5. Show that DF is parallel to AB and DF = 4 2 AB. АВ. %3D In Exercises 6-11, use AQRS where A, B, and C are the midpoints of the sides. 6. When AB = 16, what is QS? R 7. When SR = 68, what is CA? 8. When SR = 46, what is BR? %3D C. B. 9. When CA = 3x - 1 and SR = 5x + 4, what is CA? %3D %3D 10. When OS = 6x and CS = 5x - 8, what is AB? %3D %3D 11. When OR = 5x + 2 and CB = 2x + 5, what is AR? %3D 12. Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the midsegment triangle is half the perimeter of the original triangle. Is your friend correct? Explain your reasoning. 13. A building has the shape of a pyramid with a square base. The midsegment parallel to the ground of each triangular face of the pyramid has a length of 58 feet. Find the length of the base the pyramid. 58 ft
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