Eureka Math Grade 5 Module 5 Lesson 20 Answer Key

Engage NY Eureka Math 5th Grade Module 5 Lesson 20 Answer Key

Eureka Math Grade 5 Module 5 Lesson 20 Problem Set Answer Key

Question 1.
True or false. If the statement is false, rewrite it to make it true.

 T F
a.        All trapezoids are quadrilaterals. T
b.        All parallelograms are rhombuses. F
c.         All squares are trapezoids. T
d.        All rectangles are squares. F
e.        Rectangles are always parallelograms. T
f.         All parallelograms are trapezoids. T
g.        All rhombuses are rectangles. F
h.        Kites are never rhombuses. F
i.          All squares are kites. T
j.          All kites are squares. F
k.        All rhombuses are squares. F

Answer:

b. Some parallelograms are rhombuses

d. All squares are rectangles

g. Some rhombuses are rectangles (when they are squares)

h. Kites are sometimes rhombuses

j. Some kites are squares

h. All squares are rhombuses

Question 2.
Fill in the blanks.
a. ABCD is a trapezoid. Find the measurements listed below.
Engage NY Math Grade 5 Module 5 Lesson 20 Problem Set Answer Key 1
∠A = _________ °
∠D = _________ °
What other names does this figure have?

Answer:

Quadrilateral,

∠A =140 °
∠D = 90 °

b. RECT is a rectangle. Find the measurements listed below.
Engage NY Math Grade 5 Module 5 Lesson 20 Problem Set Answer Key 2
Line TE = _________
Line RC = _________
Line CT = _________
∠ERM = _________ °
∠CTR = _________ °
What other names does this figure have?

Answer:

Trapezoid, Parallelogram and Quadrilateral

Line TE =26
Line RC = 26
Line CT = 11
∠ERM =  55°
∠CTR =  90°

c. PARL is a parallelogram. Find the measurements listed below.
Engage NY Math Grade 5 Module 5 Lesson 20 Problem Set Answer Key 3
Line AL = _________
Line PR = _________
∠ARL = _________ °
∠PAR = _________ °
∠RLP = _________ °
What other names does this figure have?
Answer:

Quadrilateral and trapezoid

Line AL = 16
Line PR = 18
∠ARL =  75°
∠PAR =  105°
∠RLP =  105°

Eureka Math Grade 5 Module 5 Lesson 20 Exit Ticket Answer Key

Use your tools to draw a square in the space below. Then, fill in the blanks with an attribute. There is more than one answer to some of these.
a. Because a square is a kite, it must have ________________________ .
b. Because a square is a rhombus, it must have ________________________.
c. Because a square is a rectangle, it must have ________________________.
d. Because a square is a parallelogram, it must have ________________________.
e. Because a square is a trapezoid, it must have ________________________.
f. Because a square is a quadrilateral, it must have ________________________.
Answer:

a. Because a square is a kite, it must have congruent adjacent sides
b. Because a square is a rhombus, it must have aa sides equal
c. Because a square is a rectangle, it must have all right angles
d. Because a square is a parallelogram, it must have two sets of parallel lines
e. Because a square is a trapezoid, it must have at least one set of parallel lines
f. Because a square is a quadrilateral, it must have 4 sides

Eureka Math Grade 5 Module 5 Lesson 20 Homework Answer Key

Question 1.
Follow the flow chart, and put the name of the figure in the boxes.
Eureka Math Grade 5 Module 5 Lesson 20 Homework Answer Key 1
Answer:

Question 2.
SQRE is a square with an area of 49 cm2, and RM = 4.95 cm. Find the measurements using what you know about the properties of squares.
Eureka Math Grade 5 Module 5 Lesson 20 Homework Answer Key 2
a. RS = _________cm
b. QE = _________cm
c. Perimeter = _________cm
d. m∠QRE = _________°
e. m∠RMQ = _________°
Answer:

a. RS = 9.90 cm
b. QE = 9.90 cm
c. Perimeter = 28 cm
d. m∠QRE = 90°
e. m∠RMQ = 90°

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