A conjecture and the two-column proof used to prove the conjecture are shown. Given: segment A B is congruent to segment B D, se
gment B D is congruent to segment C E, and segment C E is congruent to segment A C. Prove: triangle A B C is an isosceles triangle. Segment A D with endpoints D and A moving from left to right. Segment A D is diagonally down to the left from point A. B is the midpoint of segment A D. Segment A E shares endpoint at point A with segment A D. Segment A E is diagonally down to the right from point A. C is the midpoint of segment A E. Segment B C is horizontal between segment A D and segment A E. Drag an expression or phrase to each box to complete the proof. Statement Reason 1. AB¯¯¯¯¯≅BD¯¯¯¯¯ Given 2. BD¯¯¯¯¯≅CE¯¯¯¯¯ Given 3. Transitive Property of Congruence 4. Given 5. AB¯¯¯¯¯≅AC¯¯¯¯¯ 6. △ABC is an isosceles triangle.
2 answers:
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Answer:
(2 , 5)
Step-by-step explanation:
point (x,y) that divides the segment PI in the ratio 2 to 1
PD=4 - (-2) = 6 PE/ED=2/1 PE=2ED PE+ED=6 3ED=6 ED=2 PE=4
coordinate of E (2,1) .... 2 is x coordinate of E
DI=7-1=6 DF/FI=2/1 DF=4
coordinate of F (4,5) .... .... 5 is y coordinate of E
CF // PD PC/CI=DF/FI=2/1
C (2,5)
