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Bell Ringer – Put in your notebook.
Constructions - Turn to p. 30 ‘Bisect a Segment”
Do Steps 1-3
Use half of a sheet of paper in your notes
Turn in all packets, compass constructions (bisect a segment) progress reports and missing assignment
You measured line segments.
• Measure and classify angles.
• Identify and use congruent angles and the bisector of an angle.
• ray
• opposite rays
• angle
• side
• vertex
• interior
• exterior
• degree
• right angle
• acute angle
• obtuse angle
• angle bisector
• A ray is a part of a line it has one endpoint. The symbol for ray is an arrow in one direction → above the name of the ray.
• An angle is formed by 2 noncollinear rays that have a common endpoint. The rays are the sides of the angles.This common endpoint is called the vertex.
• Naming an angle• When naming an angle use 3 letters, the
vertex must be the second letter.• You can also name an angle using a number
or a single letter.
Measure and Classify Angles
A. Measure TYV and classify it as right, acute, or obtuse.
Answer: mTYV = 90, so TYV is a right angle.
A. 30°, acute
B. 30°, obtuse
C. 150°, acute
D. 150°, obtuse
A. Measure CZD and classify it as right, acute, or 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 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. 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.