Math Problem Statement
Solution
The questionThe asks question is which asking figure ** whichmust figure be must be a a square square**. Let's analyze the based options on the given properties.
:
1.---
Let's ** analyzeOption A: each A option figure:
that1 is both. a Option A: rhomb Aus and figure a that rectangle is. both a rhombus
- and A square a is defined as rectangle a** figure
that - is A ** both arh rhombombusus has all ( four sidesall of sides equal) equal and a length.
rectangle (all - angles equal A ** torectangle ** has90° all angles equal)**.
to ( 90 -^\circ Therefore, this \ option). - If a figure is correctly describes a square.
- ** bothOption a B rhomb: Aus figure ** thatand** is a both a rectangle rectangle, and it a must trapezo satisfy:id.
** -
All sides - are A rectangle equal ( doesrh notomb necessarilyus have property). all sides
equal , - and All a angles trape arezo ( 90^\circid only has \ one pair of parallel) sides (.rectangle
property ).
- This does - This not combination define makes a the square.
figure a3. ** squareOption C.:
A ✅ figure ** thatOption is both A is a rectangle correct and** a.
2 parallelog. Option Bram.: A figure that
- All is rectangles both are a paralle rectanglelogr and aams trape, butzoid rectangles do** not
necessarily have - A all rectangle sides has equal. two
pairs of parallel sides -, This does not while a trapezoid guarantee a has square.
- only ** one pairOption of D: parallel sides A. figure
that is both - a A figure rh cannotomb beus both and a a paralle rectangle andlogram a. trapezo
id simultaneously -. A
rh ombus ❌ is ** aThis is paralle incorrectlogram,.
but3 it. does ** notOption C require: all angles A to figure be that is90 both°. a
rectangle and - a This paralle islog notram necessarily** a
square .
-### **Correct Answer All: rectangles are A parallelogr.ams by A figure definition that, is but not both a all rh paralleomblogrus andams a are rectangle squares..
**
Would - you This like condition a alone further does breakdown not of square guarantee properties a or square related. concepts
? Here are some additional ❌ related questions:
1.This What is are incorrect.
4 the. properties Option D: of A a figure square that? is
both2 a. rh Howomb isus a and square a different paralle fromlog aram rh
ombus and - a All rectangle rhomb?
uses3 are. paralle Whylog isr everyams, square a but paralle notlog allram rh?omb
uses4 are. squares Can. a
rectangle be - a This square condition? alone Under does what not conditions?
guarantee5 a square..
How do you ❌ prove This that is a incorrect given quadr.
ilateral is---
a square Final?
Answer**:Tip **:A. To prove A figure a that figure is is both a a square rh,omb youus must and a show that rectangle all sides
areWould equal you like and further clarification or details?
all angles are---
###90 Related°. Questions:
- What are the defining properties of a square?
- How is a rhombus different from a square?
- What is the relationship between rectangles and parallelograms?
- Can a trapezoid ever be classified as a parallelogram?
- What are the key differences between a square and a rhombus?
Tip:
Always check if the figure satisfies all properties of a square:
- Four equal sides.
- Four angles.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Properties of Squares
Properties of Rectangles
Properties of Rhombuses
Parallelograms
Quadrilaterals
Formulas
Definition of a Square: Four equal sides and four right angles
Theorems
A square is both a rhombus (all sides equal) and a rectangle (all angles 90°).
Suitable Grade Level
Grades 7-9
Related Recommendation
Identify the Shape: Properties of Quadrilaterals
Classifying Quadrilaterals: Identifying the Most Specific Type Based on Properties
Identify Quadrilateral Properties: Rhombus and Quadrilateral
Identifying Rhombuses and Quadrilaterals: Shape Classification
Properties of Quadrilaterals: Identifying a Square Based on Angles and Sides