x + 6 = 2x - 54 x = 60 Therefore, = = 22 and = 33, so the perimeter is 77. AB AC BC 5. Ming and Juan submitted the following to prove that the base angles of an isosceles triangle are congruent. Several students in your class have questions about this solution. How would you answer their questions and help them understand this solution? How do we know that line QS is the perpendicular bisector of segment PR? How do we know that triangle PQS is congruent to triangle RQS? Answer: Since segment AC is congruent to segment BC we know that point C is on the perpendicular bisector of segment AB. So line CD is the perpendicular bisector of segment AB. Triangle ACD is congruent to triangle BCD by SSS. 6. Isosceles with base are given. is the perpendicular bisector of . ; ; . Find AB. A. 16 B. 14 C. 12 D. 10 Answer: D 7. B, U and S are the midpoints of the sides of . CA = 5, CR = 9, and AR = 11. What is the perimeter of parallelogram BUSA? A. 10.5 B. 12.5 C. 16 D. 20 Answer: C 8. H, A, and T are midpoints of . and .
x + 6 = 2x - 54 x = 60 Therefore, AB = AC = 22 and BC = 33, so the perimeter is 77. 5. Ming and Juan submitted the following to prove that the base angles of an isosceles triangle are congruent. Several students in your class have questions about this solution. How would you answer their questions and help them understand this solution? How do we know that line QS is the perpendicular bisector of segment PR? How do we know that triangle PQS is congruent to triangle RQS? Answer: Since segment AC is congruent to segment BC we know that point C is on the perpendicular bisector of segment AB. So line CD is the perpendicular bisector of segment AB. Triangle ACD is congruent to triangle BCD by SSS. 6. Isosceles with base are given. is the perpendicular bisector of . ; ; . Find AB. A. 16 B. 14 C. 12 D. 10 Answer: D 7. B, U and S are the midpoints of the sides of . CA = 5, CR = 9, and AR = 11. What is the perimeter of parallelogram BUSA? A. 10.5 B. 12.5 C. 16 D. 20 Answer: C 8. H, A, and T are midpoints of . and .
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