Transcript Glencoe Geometry - Burlington County Institute of Technology

Five-Minute Check (over Lesson 1–3)
CCSS
Then/Now
New Vocabulary
Example 1: Real-World Example: Angles and Their Parts
Key Concept: Classify Angles
Example 2: Measure and Classify Angles
Example 3: Measure and Classify Angles
Over Lesson 1–3
Use the number line to find the measure of AC.
A. 2
B. 4
C. 6
D. 8
Over Lesson 1–3
Use the number line to find the measure of DE.
A. 3
B. 5
C. 7
D. 9
Over Lesson 1–3
Use the number line to
find the midpoint of EG.
A. D
B. E
C. F
D. H
Over Lesson 1–3
Find the distance between P(–2, 5) and Q(4, –3).
A. 12
B. 10
C. 5
D. 1
Over Lesson 1–3
Find the coordinates of R if M(–4, 5) is the midpoint
of RS and S has coordinates (0, –10).
A. (–8, 20)
B. (–4, 15)
C. (–2, –5)
D. (2, 20)
Over Lesson 1–3
A boat located at (4, 1) can dock at two locations.
Location A is at (–2, 9) and Location B is at (9, –11).
Which location is closest? How many units away is
the closest dock?
A. Location A, 10 units
B. Location A, 12.5 units
C. Location B, 10 units
D. Location B, 12.5 units
Content Standards
G.CO.1 Know precise definitions of angle, circle,
perpendicular line, parallel line, and line segment, based
on the undefined notions of point, line, distance along a
line, and distance around a circular arc.
G.CO.12 Make formal geometric constructions with a
variety of tools and methods (compass and straightedge,
string, reflective devices, paper folding, dynamic
geometric software, etc.).
Mathematical Practices
5 Use appropriate tools strategically.
6 Attend to precision.
You measured line segments.
• Measure and classify angles.
• Identify and use congruent angles and the
bisector of an angle.
• ray
• degree
• opposite rays
• right angle
• angle
• acute angle
• side
• obtuse angle
• vertex
• angle bisector
• interior
• exterior
Angles and Their Parts
A. Name all angles that
have B as a vertex.
Answer:
Angles and Their Parts
B. Name the sides of 5.
Answer:
Angles and Their Parts
C.
A.
A.
B.
C.
D.
B.
A.
B.
C.
D. none of these
C. Which of the following is another name for 3?
A.
B.
C.
D.
Measure and Classify Angles
A. Measure TYV and classify it as right, acute,
or obtuse.
Answer: mTYV = 90, so TYV is a right angle.
Measure and Classify Angles
Answer: 180 > mWYT > 90,
so WYT is an obtuse angle.
Measure and Classify Angles
A. Measure CZD and classify
it as right, acute, or obtuse.
A. 30°, acute
B. 30°, obtuse
C. 150°, acute
D. 150°, obtuse
B. Measure CZE and classify
it as right, acute, or obtuse.
A. 60°, acute
B. 90°, acute
C. 90°, right
D. 90°, obtuse
C. Measure DZX and classify
it as right, acute, or obtuse.
A. 30°, acute
B. 30°, obtuse
C. 150°, acute
D. 150°, obtuse
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 mGBH and
mHCI if GBH  HCI, mGBH = 2x + 5, and
mHCI = 3x – 10.
Measure and Classify Angles
Step 1 Solve for x.
GBH  HCI
mGBH = mHCI
2x + 5 = 3x – 10
2x + 15 = 3x
15 = x
Given
Definition of congruent angles
Substitution
Add 10 to each side.
Subtract 2x from each side.
Measure and Classify Angles
Step 2 Use the value of x to find the measure of
either angle.
.
Answer: mGBH = 35, mHCI = 35
Find mBHC and mDJE if BHC  DJE,
mBHC = 4x + 5, and mDJE = 3x + 30.
A. mBHC = 105, mDJE = 105
B. mBHC = 35, mDJE = 35
C. mBHC = 35, mDJE = 105
D. mBHC = 105, mDJE = 35