Vocabulary
20
• Ray-- A part of a line that extends indefinitely in one direction from a fixed point. • Opposite rays-- Two rays that are part of the same line and have only their endpoints in common. In the figure, and are opposite rays.
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Ray-- A part of a line that extends indefinitely in one direction from a fixed point. O pposite rays-- Two rays that are part of the same line and have only their endpoints in common. In the figure, and are opposite rays. Vocabulary. - PowerPoint PPT Presentation
Transcript of Vocabulary
• Ray-- A part of a line that extends indefinitely in one direction from a fixed point.
• Opposite rays-- Two rays that are part of the same line and have only their endpoints in common. In the figure, and are opposite rays.
• Angle-- A figure formed by two rays with a common endpoint. In the figure, ∠RST is formed by and with the common endpoint (or vertex) S.
• Side--The two rays that form an angle.
• Vertex--The common endpoint of the rays forming the angle.
Angles and Their Parts
A. Name all angles that have B as a vertex.
Answer:
Angles and Their Parts
Answer:
B. Name the sides of 5.
A.
B.
C.
D.
A. A
B. B
C. C
D. D
C. Which of the following is another name for 3?
Degreee--The most common unit of measure for angles. If a circle were divided into 360 equal-sized parts, each part would have an angle measure of 1 degree, denoted as 1°.
Measure and Classify Angles
A. Measure TYV and classify it as right, acute, or obtuse.
Answer: mTYV = 90, so TYV is a right angle.
Measure and Classify Angles
Answer: 180 > mWYT > 90, so WYT is an obtuse angle.
A. A
B. B
C. C
D. D
A. 30°, acute
B. 30°, obtuse
C. 150°, acute
D. 150°, obtuse
A. Measure CZD and classify it as right, acute, or obtuse.
A. A
B. B
C. C
D. D
A. 60°, acute
B. 90°, acute
C. 90°, right
D. 90°, obtuse
B. Measure CZE and classify it as right, acute, or obtuse.
A. A
B. B
C. C
D. D
A. 30°, acute
B. 30°, obtuse
C. 150°, acute
D. 150°, obtuse
C. Measure DZX and classify it as right, acute, or obtuse.
• Bisect an angle
• Bisect--To separate something into two congruent parts.
Measure and Classify Angles
INTERIOR DESIGN Wall stickers of standard shapes are often used to provide a stimulating environment for a young child’s room. A five-pointed star sticker is shown with vertices labeled. Find mGBH and mHCI if GBH HCI, mGBH = 2x + 5, and mHCI = 3x – 10.
Measure and Classify Angles
GBH HCI Given
mGBH mHCI Definition of congruent angles
2x + 5 = 3x – 10 Substitution
2x + 15 = 3x Add 10 to each side.
15 = x Subtract 2x from each side.
Step 1 Solve for x.
Measure and Classify Angles
Step 2 Use the value of x to find the measure of either angle.
.
Answer: mGBH = 35, mHCI = 35
A. A
B. B
C. C
D. D
A. mBHC = 105, mDJE = 105
B. mBHC = 35, mDJE = 35
C. mBHC = 35, mDJE = 105
D. mBHC = 105, mDJE = 35
Find mBHC and mDJE if BHC DJE, mBHC = 4x + 5, and mDJE = 3x + 30.
