Question

evaluate independent practice
lesson 9.4 homework
complete problems 1-8 below for independent practice.
when you are finished, check the solutions with your teacher.

1. circle the name of the most specific name for the quadrilateral below.

rhombus or rectangle?

1. circle the name of the most specific name for the quadrilateral below.

rectangle or square?

1. circle the name of the most specific name for the quadrilateral below.

square or rhombus?

1. circle the name of the most specific name for the quadrilateral below.

rhombus or parallelogram?

for 5-8, give the most specific name for the quadrilateral below.
(parallelogram, rectangle, rhombus, or square).
5.
6.
7.
8.

Explanation:

Analyze quadrilateral markings in Question 1

Using the Rhombus Properties and Quadrilateral Hierarchy knowledge points

• The figure has four congruent sides indicated by single tick marks.
• A quadrilateral with four congruent sides is a rhombus.
• Therefore, the most specific name is Rhombus.

Analyze quadrilateral markings in Question 2

Using the Properties of Rectangles and Properties of Squares knowledge points

• The figure has four right angles and opposite sides congruent (indicated by single and double tick marks).
• Since not all four sides are marked congruent, it is a rectangle but not a square.
• Therefore, the most specific name is Rectangle.

Analyze quadrilateral markings in Question 3

Using the Properties of Squares and Rhombus Properties knowledge points

• The figure has four right angles and four congruent sides (indicated by single tick marks).
• A quadrilateral with four right angles and four congruent sides is a square.
• Therefore, the most specific name is Square.

Analyze quadrilateral markings in Question 4

Using the Rhombus Properties and Parallelogram Theorems knowledge points

• The figure has four congruent sides indicated by single tick marks.
• A quadrilateral with four congruent sides is a rhombus, which is more specific than a parallelogram.
• Therefore, the most specific name is Rhombus.

Analyze markings for Questions 5 to 8

Using the Quadrilateral Hierarchy knowledge point

• Question 5: The figure has four right angles and four congruent sides (single tick marks). This is a Square.
• Question 6: The figure has four right angles and opposite sides congruent (single and double tick marks). This is a Rectangle.
• Question 7: The figure has four congruent sides (single tick marks) but no right angle markings. This is a Rhombus.
• Question 8: The figure has opposite sides parallel (indicated by single and double arrows). This is a Parallelogram.

Answer:

No.	Answer
2	Rectangle
3	Square
4	Rhombus
5	Square
6	Rectangle
7	Rhombus
8	Parallelogram