This handy Spectrum Math Grade 4 Answer Key Chapter 8 Lesson 8.4 Quadrilaterals provides detailed answers for the workbook questions.
Spectrum Math Grade 4 Chapter 8 Lesson 8.4 Quadrilaterals Answers Key
A quadrilateral is a polygon with four sides. Some examples are square, rectangle, parallelogram, rhombus, kite, and trapezoid.
parallelogram
∠DAB = ∠BCD, ∠ADC = ∠CBA
\(\overline{A B}\) = \(\overline{D C}\), \(\overline{A D}\) = \(\overline{B C}\)
\(\overline{A C}\) bisects \(\overline{B D}\), \(\overline{B D}\) bisects \(\overline{A C}\). △ADC is congruent to △CBA.
A rectangle is a parallelogram with four right angles.
Opposite sides a re equal. \(\overline{A B}\) = \(\overline{D C}\), \(\overline{A D}\) = \(\overline{B C}\), ∠BAD = ∠ABC = ∠BCD = ∠CDA = 90°.
A kite has 2 pairs of adjacent sides that are congruent.
A square is a rectangle with 4 sides of same length and all angles equal.
AB = BC = CD = DA
∠ADC = ∠DCB, ∠CBA = ∠BAD = 90°.
A rhombus is a parallelogram with all four sides the same length. Opposite angles are the same measure.
A trapezoid has just 2 sides that are parallel.
Identify each quadrilateral.
Question 1.
a.
Answer:
Rectangle
Explanation:
A quadrilateral is a polygon with four sides. The above given quadrilateral is rectangle. A rectangle is a parallelogram with four right angles.
b.
Answer:
Trapezoid
Explanation:
A quadrilateral is a polygon with four sides. The above given quadrilateral is trapezoid. A trapezoid has 2 sides that are parallel.
c.
Answer:
Rhombus
Explanation:
A quadrilateral is a polygon with four sides. The above given quadrilateral is rhombus. A rhombus is a parallelogram with all four sides the same length. The measure of opposite angles is same.
Question 2.
a.
Answer:
Trapezoid
Explanation:
A quadrilateral is a polygon with four sides. The above given quadrilateral is trapezoid. A trapezoid has 2 sides that are parallel.
b.
Answer:
Parallelogram
Explanation:
A quadrilateral is a polygon with four sides. The above given quadrilateral is parallelogram. Opposite sides of parallelogram are equal and parallel.
c.
Answer:
Kite
Explanation:
A quadrilateral is a polygon with four sides. The above given quadrilateral is kite. A kite has 2 pairs of adjacent sides that are congruent.