Carcass wrote:
Attachment:
GRE A sign in the shape of an arrow.png
A sign in the shape of an arrow (above) is cut along the dotted line to create a rectangle and a triangle. Which of the following must be true?
Indicate all that apply.
A. The sum of the side lengths of the rectangle is greater than the sum of the side lengths of the triangle.
B. The area of the rectangle is greater than the area of the triangle.
C. The sum of the measures of the angles of the rectangle, in degrees, is greater than the sum of the measures of the angles of the triangle, in degrees.
D. The number of acute angles in the triangle is greater than the number of acute angles in the rectangle.
A. The sum of the side lengths of the rectangle is greater than the sum of the side lengths of the triangleWe have no idea about the lengths, so we cannot draw any conclusion
B. The area of the rectangle is greater than the area of the triangleAgain, lengths are unknown!
C. The sum of the measures of the angles of the rectangle, in degrees, is greater than the sum of the measures of the angles of the triangle, in degreesSum of interior angles in a Quad. is 360 and Sum of interior angles in a Triangle is 180
D. The number of acute angles in the triangle is greater than the number of acute angles in the rectangleA rectangle has no acute angle whereas a Triangle will always have a minimum of 2 acute angles
Hence, C and D