Question

1. the shaded quilt piece has 4 equal sides. which type of quadrilateral is it?

(1 point)
rectangle
rhombus
square
trapezoid

1. sasha says that she drew an acute isosceles triangle with side lengths of 6 cm, 9 cm, and 12 cm and angles of 30°, 50°, and 100°. danielle says that is not possible.

who is correct?

Explanation:

Step1: Recall the properties of each quadrilateral

• Rectangle: A quadrilateral with four right angles.
• Rhombus: A quadrilateral with four equal - length sides.
• Square: A quadrilateral with four equal - length sides and four right angles.
• Trapezoid: A quadrilateral with at least one pair of parallel sides.

Step2: Analyze the given information

The problem states that the shaded quilt piece has 4 equal sides. We do not have information about the angles.

Step3: Eliminate the wrong options

• Rectangle: A rectangle has four right angles, but we are not given information about angles being right angles. So, it is not a rectangle.
• Square: A square has four equal sides and four right angles. Since we have no information about right angles, it is not a square.
• Trapezoid: A trapezoid has at least one pair of parallel sides and does not have the property of four equal sides. So, it is not a trapezoid.
• Rhombus: A rhombus has four equal - length sides. Since the only information we have is that the quadrilateral has four equal sides, it satisfies the definition of a rhombus.

Answer:

rhombus