What is quadrilateral ABCD is translated A.7 units left and 4 units up B.6 units right and 4 units down C.7 units right and 4 un
1 answer:
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[ Answer ]
[ Explanation ]
Area = 1420
Width =
Area For Rectangle: Length · Width
Use division to find width:
1420 ÷
Convert mixed numbers to fractions:
1420 =
=
÷
Use mixed multiplication:
=
Simplify:
=
BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
