Exploring the Beauty of Geometric Shapes
Which statements about geometric shapes are always true?
Choose all of the statements that are always true.
A. The opposite sides of a rhombus are parallel.
B. A rectangle with 4 equal sides is a square.
C. All rhombuses have 4 equal angles.
D. All parallelograms are rectangles.
E. All rectangles have 4 equal sides.
F. All squares are parallelograms.
Correct Answers:
The correct statements that are always true are A, B, and C.
Exploring the Beauty of Geometric Shapes
Geometry is a fascinating branch of mathematics that deals with shapes, sizes, and properties of objects in space. When it comes to geometric shapes, there are certain truths that always hold, no matter what.
A rhombus is a special type of quadrilateral with all sides of equal length. One of the properties of a rhombus is that the opposite sides are parallel, making statement A true.
Meanwhile, a rectangle is a quadrilateral with four right angles. If a rectangle has all sides of equal length, it becomes a square. Therefore, statement B is true.
As for statement C, a rhombus has four equal angles because the diagonals of a rhombus bisect each other at right angles, creating four congruent triangles.