1. What are all the possibly ways to classify a rectangle?
A. quadrilateral, parallelogram, rectangle *** ??
B. parallelogram, rectangle (Or this…)
C. quadrilateral, rectangle
2. Which property is not a characteristic of a parallelogram?
A. Opposite sides are congruent.
B. All angles are congruent. ***??
C. Opposite sides are parallel.
D. Opposite angles are congruent.
3. Which statement is a true statement?
A. All rectangles are squares.
B. All squares are rectangles. *** ??
C. Every rhombus is a rectangle.
D. Every rectangle is a rhombus.
all correct
100% they are all correct!
1. The possible ways to classify a rectangle are:
A. quadrilateral, parallelogram, rectangle
B. parallelogram, rectangle
C. quadrilateral, rectangle
To determine which of these options are correct, we need to understand the properties of a rectangle. A rectangle is a type of quadrilateral that has four right angles, opposite sides that are parallel and congruent, and opposite sides that are also congruent.
Option B (parallelogram, rectangle) is correct because a rectangle can be classified as both a parallelogram and a rectangle. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent.
Option A (quadrilateral, parallelogram, rectangle) is also correct because a rectangle is indeed a quadrilateral and a parallelogram.
Option C (quadrilateral, rectangle) is incorrect because a rectangle is a specific type of parallelogram and not just any quadrilateral.
2. The property that is not a characteristic of a parallelogram is:
B. All angles are congruent
To determine the correct answer, we need to understand the properties of a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent, and opposite angles that are congruent.
Option B is correct because while a parallelogram has opposite angles that are congruent, it does not necessarily have all angles congruent. In a parallelogram, opposite angles are congruent, but consecutive angles may differ.
Option A (Opposite sides are congruent), Option C (Opposite sides are parallel), and Option D (Opposite angles are congruent) are all characteristics of a parallelogram.
3. The true statement is:
B. All squares are rectangles
To determine the correct answer, we need to understand the relationship between squares and rectangles. A square is a type of rectangle where all sides are congruent (equal) and all angles are right angles.
Option B is correct because every square meets the criteria to be classified as a rectangle. A rectangle is a quadrilateral with four right angles. Since a square has four right angles, it can be considered a special case of a rectangle.
Option A (All rectangles are squares), Option C (Every rhombus is a rectangle), and Option D (Every rectangle is a rhombus) are all false statements. While there may be some overlap between these shapes, it is not universally true that all rectangles are squares, all rhombuses are rectangles, or all rectangles are rhombuses.