Question

another look! some quadrilaterals have special names because of their sides. some have special names because of their angles. here are some examples. the same polygon can have more than one name. parallelogram opposite sides are parallel and the same length. rectangle parallelogram with 4 square angles. rhombus parallelogram with 4 equal sides. square rhombus with 4 square angles. trapezoid at least one pair of parallel sides. in 1 - 4, read the description and circle the correct quadrilateral. write the name. 1. i have 4 square angles and all sides the same length. i am a ______. 2. i can have 2 pairs of parallel sides, but here i have 1 pair of sides that never cross. i am a ____. 3. i have 4 square angles, but only my opposite sides are equal. i am a ____. 4. i have all sides the same length, but i have no square angles. i am a ____. 5. is a square also a rectangle? explain why or why not. ______

Explanation:

Step1: Analyze question 1

A square has 4 square angles (right - angles) and all sides of the same length.

Step2: Analyze question 2

A trapezoid has at least one pair of parallel sides.

Step3: Analyze question 3

A rectangle has 4 square angles (right - angles) and opposite sides equal.

Step4: Analyze question 4

A rhombus has all sides of the same length and no square angles (unless it is a square).

Step5: Analyze question 5

A rectangle is defined as a parallelogram with 4 square angles. A square is a parallelogram with 4 square angles and all sides equal. So a square meets the definition of a rectangle.

Answer:

1. Square
2. Trapezoid
3. Rectangle
4. Rhombus
5. Yes, because a square has 4 square angles (which is the key property of a rectangle) and is a parallelogram (as it has opposite sides parallel). So a square is a special type of rectangle.