Question

question 1 - 6. based on the statements below, which conclusion is not valid? if a shape is a rectangle, then it is a parallelogram. if a shape is a parallelogram, then its opposite sides are congruent. opposite sides of parallelograms are congruent. opposite sides of rectangles are congruent. every rectangle is a parallelogram. every parallelogram is a rectangle.

Explanation:

1. Recall the definitions: A rectangle is a special - type of parallelogram with four right - angles. A parallelogram has opposite sides parallel and equal.
2. Analyze each statement:

• "Every rectangle is a parallelogram": This is true because rectangles meet the criteria of parallelograms (opposite sides are parallel).
• "If a shape is a rectangle, then it is a parallelogram": This is also true based on the definition.
• "If a shape is a parallelogram, then its opposite sides are congruent": This is a fundamental property of parallelograms.
• "Opposite sides of rectangles are congruent": Since rectangles are parallelograms, this is true.
• "Opposite sides of parallelograms are congruent": True by the definition of parallelograms.
• "Every parallelogram is a rectangle": This is false. A parallelogram does not necessarily have four right - angles, which is a requirement for a rectangle.

Answer:

Every parallelogram is a rectangle.