Figures X and Y above show how eight identical triangular pieces of cardboard were used to form a square and a rectangle, respectively. What is the ratio of the perimeter of X to the perimeter of Y? A. 2 : 3 B. √2 : 2 C. 2√2 : 3 D. 1:1 E. √2 : 1 Correct Answer: C Full explanation coming soon. […]
The parallelogram shown has four sides of equal length. What is the ratio of the length of the shorter diagonal to the length of the longer diagonal? A. 1/2 B. 1/√2 C. 1/2√2 D. 1/√3 E. 1/2√3 Correct Answer: D Full explanation coming soon. Send us a note if you’d like this added to the
The graph of which of the following equations is a straight line that is parallel to line ℓ in the figure above? A. 3y – 2x = 0 B. 3y + 2x = 0 C. 3y + 2x = 6 D. 2y – 3x = 6 E. 2y + 3 = -6 Correct Answer: A Full explanation
A ladder of a fire truck is elevated to an angle of 60° and extended to a length of 70 feet. If the base of the ladder is 7 feet above the ground, how many feet above the ground does the ladder reach? A. 35 B. 42 C. 35√3 D. 7 + 35√3 E. 7
The figure shown above consists of a shaded 9-sided polygon and 9 unshaded isosceles triangles. For each isosceles triangle, the longest side is a side of the shaded polygon and the two sides of equal length are extensions of the two adjacent sides of the shaded polygon. What is the value of a? A. 100
