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Given parallelogram ABCD below and parallelogram EFGH (not shown) are similar, which of the following statements must be true about the two shapes?

(F) Their areas are equal.

(G) Their perimeters are equal.

(H) Side AB is congruent to side EF.

(J) Diagonal AC is congruent to diagonal EG.

(K) Their corresponding angles are congruent.

The Correct Answer
Explanation

A rectangular solid consisting of 18 smaller cubes that are identical is positioned in the standard (x,y,z) coordinate system, as shown below. Vertex M has coordinates of (-1,3,0) and point O on the y-axis has coordinates of (0,3,0). What are the coordinates of vertex N?

(F) (3,0, 2) (G) (2,2, 0) (H) (3,0,-1) (J) (0,2, 2) (K) (2,0, 2)

Correct Answer: K

In imageRST below, imageS is a right angle, image = 7 units, and image = 2 units. What does csc imageT equal? image

(A)image (B) image (C) image (D) image (E) image

Correct Answer: C

In the following figure, what is the value of xin terms of y?

(A) 10y(B) 10y2(C) (D) (E)

Correct Answer: C

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