Math Problem Statement

Fill in the blank so that the resulting statement is true. A parallelogram with all sides of equal length without any right angles is called a/an ______.

Solution

The image presents a fill-in-the-blank question about geometry. Based on the statement:

"A parallelogram with all sides of equal length without any right angles is called a/an _____."

The correct answer is "rhombus."

A rhombus is a type of parallelogram where all sides have equal length, but the angles are not necessarily 90 degrees (no right angles).

Would you like further details or have any other questions on this?

Here are a few related questions:

  1. What is the difference between a rhombus and a square?
  2. How do you find the area of a rhombus?
  3. What are the properties of a parallelogram?
  4. Can a rectangle be classified as a rhombus? Why or why not?
  5. What are the angle properties of a rhombus?

Tip: Remember that all rhombuses are parallelograms, but not all parallelograms are rhombuses!

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Math Problem Analysis

Mathematical Concepts

Geometry
Parallelograms
Rhombuses

Formulas

Area of rhombus = (diagonal1 × diagonal2) / 2

Theorems

Properties of parallelograms
Properties of rhombuses

Suitable Grade Level

Grades 6-8