Question

which terms describe this shape? choose all that apply.

rectangle
isosceles trapezoid
rhombus
square
quadrilateral

Explanation:

Analyze the given geometric markings

Using the Quadrilateral Classification knowledge point

• The shape has four sides, making it a polygon with four vertices.
• Tick marks on all four sides indicate they are equal in length, meaning they are congruent (which means identical in size and shape).
• Right-angle symbols at all four corners show that every interior angle is \(90^\circ\).

Evaluate the term quadrilateral

Using the Quadrilateral Classification knowledge point

• A quadrilateral is any polygon with exactly four sides.
• Since this shape has four sides, it is a quadrilateral.

Evaluate the term rectangle

Using the Rectangle Properties knowledge point

• A rectangle is a quadrilateral with four right angles.
• Since all four angles are marked as right angles, this shape is a rectangle.

Evaluate the term rhombus

Using the Rhombus Properties knowledge point

• A rhombus is a quadrilateral with four congruent sides.
• Since all four sides have matching tick marks, they are congruent, so this shape is a rhombus.

Evaluate the terms square and isosceles trapezoid

Using the Square Properties and Trapezoid Properties knowledge points

• A square is a quadrilateral with four congruent sides and four right angles (both a rectangle and a rhombus). This shape fits both, so it is a square.
• An isosceles trapezoid has exactly one pair of parallel sides with congruent non-parallel sides, which does not describe this highly symmetric shape.

Answer:

Question 1

• (A) rectangle (Correct answer)
• (B) isosceles trapezoid
• (C) rhombus (Correct answer)
• (D) square (Correct answer)
• (E) quadrilateral (Correct answer)