Which of the following completes the proof?
Triangles ABC and EDC are formed from segmen...
Mathematics, 26.02.2020 03:57 courtnicollee
Which of the following completes the proof?
Triangles ABC and EDC are formed from segments BD and AC, in which point C is between points B and D and point E is between points A and C.
Given: Segment AC is perpendicular to segment BD
Prove: ΔACB ~ ΔECD
Reflect ΔECD over segment AC. This establishes that . Then, translate point E' to point A. This establishes that . Therefore, ΔACB ~ ΔECD by the AA similarity postulate.
∠ABC ≅ ∠E'D'C'; ∠E'D'C' ≅ ∠ABC
∠ACB ≅ ∠E'C'D'; ∠D'E'C' ≅ ∠BAC
∠ACB ≅ ∠E'C'D'; ∠E'D'C' ≅ ∠ABC
∠ABC ≅ ∠E'D'C'; ∠D'E'C' ≅ ∠BAC
Answers: 1
Mathematics, 21.06.2019 19:30
Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*
Answers: 2
Mathematics, 22.06.2019 02:50
Atourist boat is used for sightseeing in a nearby river. the boat travels 2.4 miles downstream and in the same amount of time, it travels 1.8 miles upstream. if the boat travels at an average speed of 21 miles per hour in the still water, find the current of the river.
Answers: 2
Mathematics, 31.03.2020 22:27
Mathematics, 31.03.2020 22:27
History, 31.03.2020 22:27
Mathematics, 31.03.2020 22:28
Mathematics, 31.03.2020 22:28
Mathematics, 31.03.2020 22:28
History, 31.03.2020 22:28
History, 31.03.2020 22:28
Biology, 31.03.2020 22:28