false
37
Apex 37
Its area in square units = 0.5*(sum of parallel sides)*height
The identity transformation.
To find the perimeter of polygon efgh, you need the ratio of similarity between polygons abcd and efgh, as well as the perimeter of polygon abcd. Once you have the perimeter of abcd, multiply it by the ratio to obtain the perimeter of efgh. If the ratio is not provided, it cannot be determined.
It is k times the perimeter of EFGH where k is the constant ratio of the sides of ABCD to the corresponding sides of EFGH.
It is k times the perimeter of abcd where k is the constant ratio of the sides of efgh to the corresponding sides of abcd.
It is k times the perimeter of efgh, where k is the constant of proportionality between the sides of abcd and the corresponding sides of efgh.
If each side of ABCD is four then the midpoints divide each side in half, or two. If you draw the square efgh, each side is 2 times square root 2 from Pythagorean theorem. sqrt (2 sq + 2 sq) =2 square root 2. the area is the sides squared or 2 root 2 times 2 root 2 = 4 x 2 = 8
6
Vertices: E (-2, -1); F (-4, 3); G (1, 5); and H (3, 1).Plot these points in a coordinate system and connect them. The quadrilateral EFGH is formed.The slope of the line where the side EF lies is -2.[(3 - -1)/(-4 - -2)] = 4/-2 = -2The slope of the line where the side HG lies is -2.[(5 - 1)/(1 - 3)] = 4/-2 = -2Thus the opposite sides EF and HG of the quadrilateral EFGH are parallel.The slope of the line where the side EH lies is 2/5.[(1 - -1)/(3 - -2)] = 2/5The slope of the line where the side FG lies is 2/5.[(5 - 3)/(1 - -4)] = 2/5Thus the opposite sides EH and FG of the quadrilateral EFGH are parallel.Since any of the slopes is not a negative reciprocal of the others, then the two adjacent sides are not perpendicular. And if we look at the diagram, we clearly see that this quadrilateral can be a parallelogram.The length of the side EF is square root of 20.Square root of [(5 - 1)^2 + (1 - 3)^2] = Square root of [4^2 + (-2)^2] = Square root of 20.The length of the side HG is square root of 20.Square root of [(3 - -1)^2 + (-4 - -2)^2] = Square root of [4^2 + (-2)^2] = Square root of 20.Thus, the opposite sides EF and HG of the quadrilateral EFGH are congruent.Two other parallel sides, EH and FG, must be congruent also, since they intersect two other parallel lines (their length is equal to square root of 29).So we verified that the quadrilateral EFGH is a parallelogram.
It is k times the perimeter of eh where k is the constant ratio of the sides of abcd to the corresponding sides of efgh.