Practice Test

Question 7 • Geometry

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

Answer

Image with description Rectangle with two dashed diagonal lines connecting opposite corners and intersecting at the center. A dashed vertical line and a dashed horizontal line also pass through the center of the rectangle.

Image with description Rectangle with four dashed diagonal lines. The dashed lines connect the midpoint of each side to the midpoint of the opposite adjacent side, forming a diamond shape inside the rectangle.

Image with description Rectangle with two dashed diagonal lines connecting opposite corners and intersecting at the center of the rectangle.

Image with description Rectangle with a dashed vertical line and a dashed horizontal line passing through the center of the rectangle.

Explanation

A rectangle reflects onto itself across the vertical and horizontal lines through its center, so both of those lines are lines of symmetry. Its diagonals are not generally lines of symmetry; reflecting across a diagonal would not make the rectangle match itself unless it were a square. Therefore, the diagram with just the vertical and horizontal center lines is correct.

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