McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
5. Parts of Similar Triangles
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Exercise 38 Page 590

Recall the definitions of all quadrilaterals you know.

H

Practice makes perfect
Let's begin with recalling one of the Conditions for Rhombi. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

According to this condition, a parallelogram with perpendicular diagonals must be a rhombus. This corresponds with answer H. Let's check if our answer is correct by checking the other options. Recall the definition of a trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides. Notice that this means that trapezoid is not a parallelogram, which has two pairs of parallel sides. Therefore the last answer is never true.

Finally, let's recall that rectangles and squares have four right angles. Since we have no information about the angle measures of HJKL, we cannot determine if this quadrilateral is a square or a rectangle.