Select All True Statements about Geometric Shapes
Which of the following statements are true about geometric shapes?
A. All rectangles are squares.
B. All rectangles are parallelograms.
C. All rhombuses are parallelograms.
D. All squares are rectangles.
E. All squares are rhombuses.
F. All trapezoids are parallelograms.
Correct Statements
The true statements about geometric shapes are:
B. All rectangles are parallelograms.
C. All rhombuses are parallelograms.
D. All squares are rectangles.
E. All squares are rhombuses.
When it comes to geometric shapes, it's important to understand the relationships between different types of shapes. Let's break down the true statements:
Rectangles and Parallelograms
A rectangle is a type of parallelogram, as all sides of a rectangle are of equal length and opposite sides are parallel. Therefore, statement B is true.
Rhombuses and Parallelograms
A rhombus is also a type of parallelogram, where all sides are of equal length. Hence, statement C is true.
Squares and Rectangles/Rhombuses
All squares are rectangles because they have four right angles and opposite sides are parallel. Additionally, since all sides of a square are of equal length, squares are also rhombuses. Therefore, statements D and E are both true.
Understanding these relationships between geometric shapes can help in solving problems related to geometry and spatial reasoning. Keep exploring and learning!