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Five-Minute Check (over Chapter 10)
Then/Now
New Vocabulary
Key Concept: Pairs of Angles
Example 1: Find a Missing Angle Measure
Key Concept: Names of Special Angles
Example 2: Find Measures of Angles Formed by
Parallel Lines
Example 3: Use Algebra to Find Missing Angle
Measures
Over Chapter 10
A. 5
B. 6
C. 7
D. 8
Over Chapter 10
Which list of numbers is correctly ordered least to
greatest?
A.
B.
C.
D.
Over Chapter 10
If c is the measure of the hypotenuse and a = 6 and
b = 9, find the measure of c. Round to the nearest
tenth.
A. 10.5 units
B. 10.8 units
C. 11.3 units
D. 12 units
Over Chapter 10
Find the distance between A(–3, 4), and B(5, 2).
Round to the nearest tenth.
A. 8.2 units
B. 8.1 units
C. 8.0 units
D. 7.9 units
Over Chapter 10
What is the value of x?
Classify the triangle by its
angles and by its sides.
A. 102°; obtuse scalene
B. 92°; acute scalene
C. 90°; right scalene
D. 82°; acute scalene
You have already found the missing angle
measure of a triangle. (Lesson 10–3)
• Examine relationships between pairs of
angles.
• Examine relationships of angles formed by
parallel lines and a transversal.
• perpendicular lines
• transversal
• vertical angles
• alternate interior
angles
• adjacent angles
• complementary
angles
• supplementary angles
• parallel lines
• alternate exterior
angles
• corresponding angles
Find a Missing Angle Measure
A. Jun is cutting a tile. Classify the relationship
of a and b.
Answer: The angles are complementary. The sum
of their measures is 90°.
Find a Missing Angle Measure
B. If ma = 53°, what is the measure of b?
mb + 53 = 90
mb + 53 – 53 = 90 – 53
mb = 37
Answer: mb = 37°
Write the equation.
Subtract 53 from each side.
Simplify.
A. Elisa is cutting a piece of fabric. What is the
relationship between a and b?
a
A. They are complementary.
B. They are supplementary.
C. They are congruent.
D. They are obtuse.
b
B. If ma = 40°, what is mb?
A. 140°
B. 220°
C. 50°
D. 90°
a
b
Find Measures of Angles Formed by Parallel Lines
A. Classify the relationship
between 9 and 13.
Answer: Since 9 and 13 are corresponding angles,
they are congruent.
Find Measures of Angles Formed by Parallel Lines
B. If m13 is 75°, find m11
and m15.
Since 13 and 11 are alternate
interior angles, they are congruent.
So, m11 = 75°.
11 and 15 are corresponding angles
and are congruent. So, m15 = 75°.
Answer: m11 = 75° and m15 = 75°
A. What is the relationship
between 1 and 5?
A. They are corresponding
and congruent.
B. They are adjacent and
supplementary.
C. They are corresponding
and supplementary.
D. They are adjacent and
congruent.
B. If m3 = 78°, what is m7?
A. 12°
B. 22°
C. 78°
D. 102°
Use Algebra to Find Missing Angle Measures
ALGEBRA Angles DEF and WXY are
complementary angles, with mDEF = 2x and
mWXY = 3x – 20. Find the measures of DEF
and WXY.
Step 1 Find the value of x.
mDEF + mWXY = 90
2x + 3x – 20 = 90
Complementary angles
Replace mDEF with 2x
and mWXY with 3x – 20.
Use Algebra to Find Missing Angle Measures
Combine like terms.
Add 20 to each side.
Simplify.
Divide each side by 5.
Simplify.
Use Algebra to Find Missing Angle Measures
Step 2 Replace x with 22 to find the measure of
each angle.
mDEF = 2x
= 2(22) or 44
mWXY = 3x – 20
= 3(22) – 20 or 46
Answer: mDEF = 44° and mWXY = 46°
Angles RST and ABC are complementary angles
with mRST = 3x and mABC = x + 10. What are
the measures of ABC and RST?
A. mABC = 12° and mRST = 78°
B. mABC = 20° and mRST = 70°
C. mABC = 30° and mRST = 60°
D. mABC = 30° and mRST = 70°