Question

name ariaquadrilaterals test review#1) look at each figure and select all of the names for the figure.quadrilateral | parallelogram | trapezoid | rectangle | rhombus | squarefor each statement, determine if it is true or false. write true or false on the line provided.#2) the diagonals of a rhombus bisect each other at right angles. _____________#3) an isosceles trapezoid has one set of parallel sides and two congruent sides. ___________#4) a rectangle has one set of parallel sides. ___________#5) an isosceles trapezoid has congruent diagonals. ___________#6) all parallelograms have congruent diagonals. ___________#7) the diagonals of a square bisect each other at perpendicular angles. _____________#8) select the boxes to show which figures have which properties.quadrilateral | parallelogram | trapezoid | rectangle | rhombus | squarediagonals bisect each otherfour congruent sidestwo lines of symmetrytwo sets of opposite sides that are parallel

Explanation:

Step1: Evaluate first quadrilateral

The figure has 4 sides, 2 pairs of parallel sides, 4 right angles, and opposite sides congruent. So it is:
Quadrilateral ✔️, Parallelogram ✔️, Rectangle ✔️

Step2: Evaluate second quadrilateral

The figure has 4 sides, 1 pair of parallel sides, no right angles, and non-parallel sides congruent. So it is:
Quadrilateral ✔️, Trapezoid (Isosceles) ✔️

Step3: Verify #2 statement

Rhombus diagonals bisect at right angles: true

Step4: Verify #3 statement

Isosceles trapezoid has 1 parallel set, 2 congruent non-parallel sides: true

Step5: Verify #4 statement

Rectangle has 2 pairs of parallel sides: false

Step6: Verify #5 statement

Isosceles trapezoid has congruent diagonals: true

Step7: Verify #6 statement

Only rectangles/rhombuses/squares have congruent diagonals, not all parallelograms: false

Step8: Verify #7 statement

Square is a rhombus, so diagonals bisect at right angles: true

Step9: Complete #8 property table

Property	Quadrilateral	Parallelogram	Trapezoid	Rectangle	Rhombus	Square
Four congruent sides	❌	❌	❌	❌	✔️	✔️
Two lines of symmetry	❌	❌	✔️ (isosceles)	✔️	✔️	❌ (4 lines)
Two sets of opposite parallel sides	❌	✔️	❌	✔️	✔️	✔️

Answer:

1. First figure: Quadrilateral, Parallelogram, Rectangle

Second figure: Quadrilateral, Trapezoid

1. true
2. true
3. false
4. true
5. false
6. true

8.

• Diagonals bisect each other: Parallelogram, Rectangle, Rhombus, Square
• Four congruent sides: Rhombus, Square
• Two lines of symmetry: Trapezoid (isosceles), Rectangle, Rhombus
• Two sets of opposite parallel sides: Parallelogram, Rectangle, Rhombus, Square