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7. In AABC, the midpoints of the sides are joined. (a) What does intuition suggest regarding the relationship between AAED and AFDE? (We will prove this relationship later.) (b) What does intuition suggest regarding AAED and AEBF? C F A E

7. In AABC, the midpoints of the sides are joined. (a) What does intuition suggest regarding the relationship between AAED and AFDE? (We will prove this relationship later.) (b) What does intuition suggest regarding AAED and AEBF? C F A E

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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number 7 only: 3.1 section
6. In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that? t. 7. In AABC, the midpoints of the sides are joined. (a) What does intuition suggest regarding the relationship between AAED and AFDE? (We will prove this relationship later.) (b) What does intuition suggest regarding AAED and AEBF? 8. (a) Suppose that you wish to prove that ARST = ASRV. Using the reason Identity, name one pair of corresponding parts that are congruent. (b) Suppose you wish to prove that ARWT = ASWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent. Unless other u Contenf off Uns p Cengage Leaming
Transcribed Image Text:6. In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that? t. 7. In AABC, the midpoints of the sides are joined. (a) What does intuition suggest regarding the relationship between AAED and AFDE? (We will prove this relationship later.) (b) What does intuition suggest regarding AAED and AEBF? 8. (a) Suppose that you wish to prove that ARST = ASRV. Using the reason Identity, name one pair of corresponding parts that are congruent. (b) Suppose you wish to prove that ARWT = ASWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent. Unless other u Contenf off Uns p Cengage Leaming
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