Question

math #14
answer the following questions and place your answers in the blanks.
use the words below to complete the hierarchy. use each word only one time sketch each figure below each box.
1.)
parallelogram rectangle rhombus square trapezoid
quadrilateral
exactly one pair of parallel sides
two pairs of parallel sides
four right angles
opposite sides equal
four equal sides
four right angles
four equal sides
2.) sue and bobbi are sorting shapes into two categories. sue stated a square is also a rhombus. bobbi stated it is also a rectangle. explain how both sue and bobbi are correct.

Explanation:

Step1: Fill top right blank

Quadrilaterals with two pairs of parallel sides are defined as Parallelogram.

Step2: Fill left middle blank

Parallelograms with four right angles and opposite sides equal are Rectangle.

Step3: Fill right middle blank

Parallelograms with four equal sides are Rhombus.

Step4: Fill bottom blank

A shape with four right angles AND four equal sides (intersection of rectangle and rhombus) is Square.

Step5: Explain square classification

A rhombus requires 4 equal sides; a square has 4 equal sides, so it is a rhombus. A rectangle requires 4 right angles; a square has 4 right angles, so it is a rectangle.

Answer:

1.)

• Top right blank: Parallelogram
• Left middle blank: Rectangle
• Right middle blank: Rhombus
• Bottom blank: Square

2.) A square has four equal sides, which meets the definition of a rhombus (a quadrilateral with four equal-length sides). A square also has four right angles, which meets the definition of a rectangle (a quadrilateral with four right angles). This is why both Sue and Bobbi are correct.