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:

Step1: Recall properties of rectangles and parallelograms

A rectangle is a special - type of parallelogram with four right - angles. A parallelogram has opposite sides parallel and equal.

Step2: Analyze each statement

1. "Every rectangle is a parallelogram": This is true because a rectangle has opposite sides parallel and equal, which are the properties of a parallelogram.
2. "If a shape is a rectangle, then it is a parallelogram": This is also true as rectangles meet the criteria for parallelograms.
3. "If a shape is a parallelogram, then its opposite sides are congruent": This is a fundamental property of parallelograms and is true.
4. "Opposite sides of parallelograms are congruent": True, it's a basic definition property.
5. "Opposite sides of rectangles are congruent": Since rectangles are parallelograms, this is true.
6. "Every parallelogram is a rectangle": This is false because a parallelogram does not necessarily have four right - angles.

Answer:

Every parallelogram is a rectangle.