ISEE Upper Level (grades 9-12) Quantitative Reasoning › Quadrilaterals
The lengths of the sides of ten squares form an arithmetic sequence. One side of the smallest square measures sixty centimeters; one side of the second-smallest square measures one meter.
Give the area of the largest square, rounded to the nearest square meter.
In a certain quadrilateral, three of the angles are ,
, and
. What is the measure of the fourth angle?
In the above figure, is the midsegment of Trapezoid
. What percent of Trapezoid
has been shaded in?
Which is the greater quantity?
(a) The sidelength of a square with area square inches.
(b) The sidelength of a square with perimeter inches.
Which is the greater quantity?
(a) The length of a diagonal of a square with sidelength 10 inches
(b) The hypotenuse of an isosceles right triangle with legs 10 inches each
In the above figure, is the midsegment of Trapezoid
.
Which is the greater quantity?
(a) Three times the area of Trapezoid
(b) Twice the area of Trapezoid
The above diagram depicts trapezoid . Which is the greater quantity?
(a)
(b)
In Parallelogram ,
and
. Which of the following is greater?
(A)
(B)
The sum of the lengths of three sides of a rectangle is 572 inches; the width of the rectangle is 60% of its length. Give its area in square inches.
The above figure depicts Trapezoid with midsegment
. Express
in terms of
.