Question

question
warm-up
how can the figure be described?
image of a square with right angles and equal side marks
select all the correct answers.
polygon
rhombus
square
trapezoid
rectangle
quadrilateral

Explanation:

Step1: Analyze the figure's properties

The figure has 4 sides (so it's a quadrilateral), 4 right angles (marked by the square symbols), and all sides are equal (marked by the tick marks). A polygon is a closed figure with straight sides, so it's a polygon. A rhombus has all sides equal, this figure does. A square has 4 equal sides and 4 right angles, this fits. A rectangle has 4 right angles and opposite sides equal (here all sides are equal, so it's a rectangle). A quadrilateral is a 4 - sided figure, which this is. A trapezoid (in the US definition) has at least one pair of parallel sides, but this figure has two pairs of parallel sides and is a parallelogram, but the US definition of a trapezoid is more restrictive (only one pair of parallel sides), so it's not a trapezoid.

Step2: Evaluate each option

• polygon: Yes, it's a closed figure with straight sides.
• rhombus: Yes, all sides are equal.
• square: Yes, 4 equal sides and 4 right angles.
• trapezoid: No (US definition: only one pair of parallel sides; this has two pairs and is a parallelogram).
• rectangle: Yes, 4 right angles and opposite sides equal (all sides equal here, so it's a rectangle).
• quadrilateral: Yes, 4 - sided figure.

Answer:

A. polygon, B. rhombus, C. square, E. rectangle, F. quadrilateral