This handy Spectrum Math Grade 4 Answer Key Chapter 8 Lesson 8.1 Points, Lines, Rays, and Angles provides detailed answers for the workbook questions.
Spectrum Math Grade 4 Chapter 8 Lesson 8.1 Points, Lines, Rays, and Angles Answers Key
The angle ABC (denoted ∠ABC) is made of ray BA (\(B \vec{A}\)) and ray BC (\(\overrightarrow{B C}\)). The point where the two rays intersect is called the vertex. The vertex of ∠ABC is point B.
An angle can be measured using a protractor. A protractor measures angles that range from 0° to 180°.
Identify or draw the rays and vertex of each angle. Name or label the angle.
Question 1.
a.
rays: _____________
vertex: ____________
angle: ____________
Answer:
Rays: \(\overrightarrow{Q P}\),\(\overrightarrow{Q R}\)
Vertex: Q
Angle: ∠PQR or ∠RQP
Explanation:
The angle ∠PQR is made of ray QP (\(\overrightarrow{Q P}\)) and ray QR (\(\overrightarrow{Q R}\)). The point where the two rays intersect is called the vertex. The vertex of ∠PQR is point Q.
b.
rays: _____________
vertex: ____________
angle: ____________
Answer:
Rays: \(\overrightarrow{E D}\),\(\overrightarrow{E F}\)
Vertex: E
Angle: ∠DEF or ∠FED
Explanation:
The angle ∠DEF is made of ray ED (\(\overrightarrow{E D}\)) and ray EF (\(\overrightarrow{E F}\)). The point where the two rays intersect is called the vertex. The vertex of ∠DEF is point E.
Question 2.
a. rays: \(\overrightarrow{L M}\)
\(\overrightarrow{M N}\)
vertex: M
angle: ∠LMN
Answer:
Explanation:
The angle ∠LMN is made of ray LM (\(\overrightarrow{L M}\)) and ray MN (\(\overrightarrow{M N}\)). The point where the two rays intersect is called the vertex. The vertex of ∠LMN is point M. Drawn the rays, vertex of angle as we can observe in the above image.
b. rays: \(\overrightarrow{B C}\)
\(\overrightarrow{B A}\)
vertex: B
angle: ∠CBA
Answer:
Explanation:
The angle ∠CBA is made of ray BC (\(\overrightarrow{B C}\)) and ray BA (\(\overrightarrow{B A}\)). The point where the two rays intersect is called the vertex. The vertex of ∠CBA is point B. Drawn the rays, vertex of angle as we can observe in the above image.
Identify an angle in each figure shown. Draw a figure for each angle given.
Question 3.
a.
angle: ______________
Answer:
Angle: ∠123
Explanation:
In the above image we can observe an angle. The angle 123 is denoted as ∠123.
b.
angle: ______________
Answer:
Angle: ∠RST or ∠TRS or ∠RTS
Explanation:
In the above image we can observe three angles. The first angle RST is denoted as ∠RST. The second angle TRS is denoted as ∠TRS. The third angle RTS is denoted as ∠RTS.
Question 4.
a. ∠XYZ
Answer:
Explanation:
The angle ∠XYZ is drawn as we can observe in the above image.
b. ∠678
Answer:
Explanation:
The angle ∠678 is drawn as we can observe in the above image.