Transcript Splash Screen

Splash Screen
CCSS
Content Standards
Preparation for G.SRT.7 Explain and use the
relationship between the sine and cosine of
complementary angles.
Mathematical Practices
2 Reason abstractly and quantitatively.
3 Construct viable arguments and critique
reasoning of others.
the
Then/Now
You measured and classified angles.
• Identify and use special pairs of angles.
• Identify perpendicular lines.
Vocabulary
• adjacent angles
• linear pair
• vertical angles
• complementary angles
• supplementary angles
• perpendicular
Vocabulary
• Adjacent angles:
two angles that lie in the same plane and
have a common vertex and a common
side
Vocabulary
• Linear pair:
a pair of adjacent angles with
noncommon sides that are opposite rays
for a total measure of 180°
Vocabulary
• Vertical angles:
two nonadjacent angles formed by two
intersecting lines that have equal
measure
Vocabulary
• Complementary angles:
two angles with measures that have a
sum of 90°
Vocabulary
• Supplementary angles:
two angles with measures that have a
sum of 180°
Vocabulary
• Perpendicular:
lines, segments, or rays that form right
angles
Concept
Identify Angle Pairs
A. ROADWAYS Name an angle
pair that satisfies the condition
two angles that form a linear
pair.
Identify Angle Pairs
A. ROADWAYS Name an angle
pair that satisfies the condition
two angles that form a linear
pair.
A linear pair is a pair of adjacent angles whose
noncommon sides are opposite rays.
Sample Answers: PIQ and QIS, PIT and TIS,
QIU and UIT
Identify Angle Pairs
B. ROADWAYS Name an angle
pair that satisfies the condition
two acute vertical angles.
Identify Angle Pairs
B. ROADWAYS Name an angle
pair that satisfies the condition
two acute vertical angles.
Sample Answers: PIU and RIS, PIQ and TIS,
QIR and TIU
Angle Measure
ALGEBRA Find the measures of two supplementary angles if
the measure of one angle is 6 less than five times the
measure of the other angle.
Angle Measure
ALGEBRA Find the measures of two supplementary angles if
the measure of one angle is 6 less than five times the
measure of the other angle.
Understand
The problem relates the measures of two
supplementary angles. You know that the
sum of the measures of supplementary
angles is 180.
Plan
Draw two figures to represent the angles.
Angle Measure
Solve
6x – 6 = 180
6x = 186
x = 31
Simplify.
Add 6 to each side.
Divide each side by 6.
Angle Measure
Use the value of x to find each angle measure.
mA = x
= 31
Check
mB = 5x – 6
= 5(31) – 6 or 149
Add the angle measures to verify that the
angles are supplementary.
mA + mB= 180
31 + 149 = 180
180 = 180 
Answer:
mA = 31, mB = 149
ALGEBRA Find the measures of two complementary angles if
one angle measures six degrees less than five times the
measure of the other.
ALGEBRA Find the measures of two complementary angles if
one angle measures six degrees less than five times the
measure of the other.
A. 1°, 1°
B. 21°, 111°
C. 16°, 74°
D. 14°, 76°
Concept
Concept
Perpendicular Lines
ALGEBRA Find x and y so that
KO and HM are perpendicular.
Interpret Figures
A. Determine whether the following statement can be
justified from the figure below. Explain.
mVYT = 90
Interpret Figures
A. Determine whether the following statement can be
justified from the figure below. Explain.
mVYT = 90
Interpret Figures
B. Determine whether the following statement can be
justified from the figure below. Explain.
TYW and TYU are supplementary.
Interpret Figures
B. Determine whether the following statement can be
justified from the figure below. Explain.
TYW and TYU are supplementary.
Answer:
Yes, they form a linear
pair of angles.
Interpret Figures
C. Determine whether the following statement can be
justified from the figure below. Explain.
VYW and TYS are adjacent angles.
Interpret Figures
C. Determine whether the following statement can be
justified from the figure below. Explain.
VYW and TYS are adjacent angles.
Answer:
No, they do not share
a common side.