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Connecting the midpoints of opposite sides of any quadrilateral to the midpoints of the adjacent sides must always create which of the following?

(F) Point

(G) Line

(H) Circle

(J) Square

(K) Parallelogram

The Correct Answer
Explanation

A small square table and an L-shaped table fit together with no space between them to create a large square table. The area of the large square table is 108 square feet and is nine times the area of the small square. What is x, the edge of the L-shaped table labeled in the figure below in square feet?

(A)2 (B) 4 (C) 4 (D) 4 (E) 12

Correct Answer: C

What is the length, in coordinate units, of a diagonal of a square in the standard (x,y) coordinate plane with vertices at points (0,0), (4,0) and (4,4)?

(F) 3 (G) 4 (H) 4 (J) (K) 8

Correct Answer: H

Which of the following is a prime factorization of 2,100?

(A)2 · 3 · 5 · 7 (B) 22 · 3 · 52 · 7 (C) 22 · 3 · 5 · 35 (D) 22 · 52 · 21 (E) 22 · 550

Correct Answer: B

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