All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 14 Lesson 1 Angles will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 14 Lesson 1 Angles
An angle is made When two rays share the same endpoint. A ray is part of a line that has one endpoint and extends in one direction without ending. An endpoint is the point at the beginning of a ray. The shared endpoint is called the vertex.
Build It
Use a geoboard and pattern blocks to explore angles.
1. Use a rubber band to make a large square on a geoboard that is similar to the orange pattern block.
2. Use an index card to compare one angle formed by two sides of the square. An angle that forms a square corner is called a right angle.
Do all four corners of a square form right angles? ______________
Answer:
The right angle is in the shape of square.
So all four corners of a square form right angles.
Try It
1. Use a rubber band to make a large triangle on a geoboard that is similar to the green pattern block.
2. Use an index card to compare one angle formed by two sides of the triangle. This angle is less than a right angle.
How many angles in this triangle are less than a right angle? ____________
Answer:
There are 1 angles in this triangle are less than a right angle.
Try It
1. Use a rubber band to create a large hexagon on a geoboard that is similar to the yellow pattern block.
2. Use an index card to compare an angle formed by two sides of the shape. This angle is greater than a right angle.
How many angles in the shape are greater than a right angle? _____________
Answer:
There are 6 angles in the shape are greater than a right angle.
Talk About It
Question 1.
Can a triangle have two right angles? Explain.
Answer:
No, the the triangle never have two right angles. Because the triangle has only three sides and the it has three angles and the sum of the angles is 180 degrees. so if the triangle has two right angles then the third side is overlapped with the other side.
Question 2.
Mathematical PRACTICE Model Math Give a real-world example of a right angle.
Answer:
The real world examples of the right angle is edges of doors and edges of television.
Practice It
Tell whether each angle shown is a right angle, less than a right angle, or greater than a right angle. Use an index card if needed.
Question 3.
Answer:
Given that the shape is a triangle.
The each angle in the triangle is less than a right angle.
Question 4.
Answer:
Given that the shape is a right triangle.
The angle in the triangle is a right angle.
Question 5.
Answer:
Given that the shape is a triangle.
The each angle in the triangle is less than a right angle.
Question 6.
Answer:
Given that the shape is a right triangle.
The angle in the triangle is a right angle.
Question 7.
Answer:
The angle shown in the clock is greater than a right angle.
Question 8.
Answer:
The angle shown in the clock is less than a right angle.
Question 9.
Answer:
Given that the shape is a triangle.
The each angle in the triangle is greater than a right angle.
Question 10.
Answer:
Given that the shape is a right triangle.
The angle in the triangle is a right angle.
Apply It
Question 11.
Claudio noticed that the sides of his $1-bill formed angles. Tell whether the angles are right angles, less than right angles, or greater than right angles. Explain.
Answer:
Claudio’s $1 bill has right angles because the sides of the bill are perpendicular to each other. So the angles of the bill are 90 degrees.
Question 12.
Mrs. Wurzer drew four shapes on the board. Circle the shape that appears to have one or more right angles.
Answer:
From the given shapes the parallelogram, trapezoid and rectangle has one or more than right angles.
The triangle has no right angles.
The circle figures has one or more right angles.
Question 13.
Mathematical PRACTICE Model Math Draw three shapes, each showing a different type of angle. Mark each angle and label it.
Answer:
The different types of angles are 60 degrees, 90 degrees and 120 degrees.
Question 14.
Mathematical PRACTICE Reason Circle the two angles, in the figure to the right, that appear greater than a right angle. Explain.
Answer:
In a parallelogram the two angles are greater than right angle.
Here the 1 and 4 angles are greater than the right angle.
Write About It
Question 15.
How can I tell if an angle is a right angle? Explain.
Answer:
If the angle is 90 degrees than it is a right angle.
McGraw Hill My Math Grade 3 Chapter 14 Lesson 1 My Homework Answer Key
Practice
Tell whether each angle shown is a right angle, less than a right angle, or greater than a right angle. Use an index card if needed.
Question 1.
Answer:
Given that the shape is triangle.
The angle in the triangle is less than the right angle.
Question 2.
Answer:
Given that the shape is triangle.
The angle in the triangle is greater than the right angle.
Question 3.
Answer:
Given that the shape is hexagon.
The angle in the hexagon is the right angle.
Problem Solving
Question 4.
Mathematical PRACTICE Keep Trying Draw a time when the hands on the clock make a right angle.
Answer:
Here the hands on the clock shows the 90 degrees. so, it is a right angle.
Question 5.
Mathematical PRACTICE Identify Structure Mr. West drew four shapes on the board. Circle the shape that appears to have angles that are all less than a right angle.
Answer:
The triangle has the angles that are all less than a right angle.
Question 6.
Manny noticed that the sides of his poster on his bedroom wall formed angles. Tell whether the angles are right angles, less than right angles, or greater than right angles. Explain.
Answer:
Given that,
Manny noticed that the sides of his poster on his bedroom wall formed angles.
The right angle measure the 90 degrees. It is formed by two straight lines one horizontal and one is vertical and these two lines are joined by a another line. Then they form a right angle. the poster is also in the shape of rectangle or square. So, the angles formed will be right angles.
Vocabulary Check
Choose the correct word(s) to complete each sentence.
angle
ray
endpoint
vertex
right angle
Question 7.
The shared endpoint of two rays is called the ______________.
Answer:
The shared endpoint of two rays is called the vertex.
Question 8.
An ______________ is the point at the beginning of a ray.
Answer:
An endpoint is the point at the beginning of a ray.
Question 9.
An angle that forms a square corner is called a ______________.
Answer:
An angle that forms a square corner is called a right angle.