Perpendicular bisectors have a particular property: if AB is a perpendicular bisector of CD, then every point lying on AB has the same distance from C and D.
In your case, we have that every point lying on AC has the same distance from B and D.
So, in particular, we have EB=ED, because E lies on AC.
Moreover, since AC is a perpendicular bisector, it is the height of the triangle (if we choose BD as base), and it bisects BD: this means that the triangle is isosceles, so AD=AB.
This means that triangles ABE and ADE have:
- AD=AB because ABD is isosceles
- EB=ED because AC is the perpendicular bisector of BD
- AE in common
So, their sides are all equal, and thus they are congruent.
Answer:Amy read 8 more books than ben read. how many books did ben read Get the answers you need, now! ... so amy is 8 more than ben, you have to add 8 to ben, who is x. ... Did this page answer your question? ... Write the answer as a mixed number fraction (if possible). 8 1 5 ÷ 7 1 2
Step-by-step explanation:
Answer:
$227
Step-by-step explanation:
6% = .06
450 * .06 = 27 commission
200 + 27 = $227
The colon is the symbol ":". It is used in a number of different ways in mathematics. 1. To denote ratio or odds, as in 2:1 (voiced "two to one").
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All of them are correct except the third option. The image is smaller than the pre-image after the dilations.
