## Engage NY Eureka Math 4th Grade Module 4 Lesson 2 Answer Key

### Eureka Math Grade 4 Module 4 Lesson 2 Problem Set Answer Key

Question 1.

Use the right angle template that you made in class to determine if each of the following angles is greater than, less than, or equal to a right angle. Label each as greater than, less than, or equal to, and then connect each angle to the correct label of acute, right, or obtuse. The first one has been completed for you.

Answer:

In the above image, the acute angles will be a,b, i, and j.

In the above image, the right angles will be c and f.

In the above image, the obtuse angles will be d,e,g,h.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle. So in the above image, the acute angles will be a, b, i, and j.

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle. So in the above image, the right angles will be c and f.

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle. So in the above image, the obtuse angles will be d, e, g, h.

Question 2.

Use your right angle template to identify acute, obtuse, and right angles within Picasso’s painting Factory, Horta de Ebbo. Trace at least two of each, label with points, and then name them in the table below the painting.

Answer:

In the above image the acute angles will be <GHI, <JKL.

In the above image the right angles will be <MKN, <PQR.

In the above image the obtuse angles will be <ABC, <DEF.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle. So in the above image, the acute angles will be <GHI, <JKL.

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle. So in the above image, the right angles will be <MKN, <PQR.

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle. So in the above image, the obtuse angles will be <ABC, <DEF.

Question 3.

Construct each of the following using a straightedge and the right angle template that you created. Explain the characteristics of each by comparing the angle to a right angle. Use the words greater than, less than, or equal to in your explanations.

a. Acute angle

Answer:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle.

b. Right angle

Answer:

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle.

Explanation:

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle.

c. Obtuse angle

Answer:

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle.

Explanation:

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle.

### Eureka Math Grade 4 Module 4 Lesson 2 Exit Ticket Answer Key

Question 1.

Fill in the blanks to make true statements using one of the following words: acute, obtuse, right, straight.

a. In class, we made a __________________ angle when we folded paper twice.

Answer:

In class, we made a right angle when we folded the paper twice.

Explanation:

By folding paper twice we will get a right angle triangle. As the right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle.

b. An __________________ angle is smaller than a right angle.

Answer:

An acute angle is smaller than a right angle.

Explanation:

An acute angle is smaller than a right angle. As the acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle.

c. An __________________ angle is larger than a right angle, but smaller than a straight angle.

Answer:

An obtuse angle is larger than a right angle but smaller than a straight angle.

Explanation:

An obtuse angle is larger than a right angle but smaller than a straight angle. As the obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called the Obtuse angle.

Question 2.

Use a right angle template to identify the angles below.

a. Which angles are right angles? ____________________________________________________

Answer:

In the above image, the right angles are <C and <G.

Explanation:

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle. So in the above image, the right angles are <C and <G.

b. Which angles are obtuse angles? __________________________________________________

Answer:

In the above image, the obtuse angles are <B and <E.

Explanation:

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle. So in the above image, the obtuse angles are <B and <E.

c. Which angles are acute angles? ___________________________________________________

Answer:

In the above image, the obtuse angles are <A and <D.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle. So in the above image, the obtuse angles are <A and <D.

d. Which angles are straight angles? _________________________________________________

Answer:

In the above image, the obtuse angles are <F and <H.

Explanation:

A straight line is a line that cannot be curved or bent and a line is an object in geometry that is characterized under the zero-width object that extends on both sides. The straight line is a line that extends to both sides to infinity and has no curves. So in the above image, the obtuse angles are <F and <H.

### Eureka Math Grade 4 Module 4 Lesson 2 Homework Answer Key

Question 1.

Use the right angle template that you made in class to determine if each of the following angles is greater than, less than, or equal to a right angle. Label each as greater than, less than, or equal to, and then connect each angle to the correct label of acute, right, or obtuse. The first one has been completed for you.

Answer:

In the above image, the acute angles will be a, e, h.

In the above image, the right angles will be g, j, b.

In the above image, the obtuse angles will be c, i, d, f.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle. So in the above image, the acute angles will be a, e, h.

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle. So in the above image, the right angles will be g, j, b.

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle. So in the above image, the obtuse angles will be c, i, d, f.

Question 2.

Use your right angle template to identify acute, obtuse, and right angles within this painting.

Trace at least two of each, label with points, and then name them in the table below the painting.

Answer:

In the above image, the acute angles will be <ABC, <DEF.

In the above image, the right angles will be <MNO, <PQR.

In the above image, the obtuse angles will be <GHI, <JKL.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle. So in the above image, the acute angles will be <ABC, <DEF.

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle. So in the above image, the right angles will be <MNO, <PQR.

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle. So in the above image, the obtuse angles will be <GHI, <JKL.

Question 3.

Construct each of the following using a straightedge and the right angle template that you created. Explain the characteristics of each by comparing the angle to a right angle. Use the words greater than, less than, or equal to in your explanations.

a. Acute angle

Answer:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle.

b. Right angle

Answer:

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle.

Explanation:

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle.

c. Obtuse angle

Answer:

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle.

Explanation:

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle.

### Eureka Math Grade 4 Module 4 Lesson 2 Template Answer Key

_______________________________

Answer:

In the above image, the acute angles will be <D, <F.

In the above image, the right angles will be <A, <B, <E, <G.

In the above image, the obtuse angles will be <C, <H, <I, <J.

Explanation:

Acute angle: An acute angle is an angle that measures less than 90 degrees. In other words, we can say that the angle which is smaller than the right angle is also known as the Acute angle. So in the above image, the acute angles will be <D, <F.

Right angle: A right angle is an angle that has straight lines that intersect each other at 90 degrees which are perpendicular to each other at the intersection so that we will form a right angle. So in the above image, the right angles will be <A, <B, <E, <G.

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees, so the angles that are longer than a right angle and smaller than a straight angle are called Obtuse angle. So in the above image, the obtuse angles will be <C, <H, <I, <J.