1. Draw two intersecting lines and label the resulting angles with the numbers 1, 2, 3, and 4. 2. Label 21 with x°. 1 and 22 are supplementary. Find the measure of 22 and label the diagram. 3. 23 is also supplementary to 2. Find the measure of 23 and label the diagram. 4. From your work in Problems 1-3 moko

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11.
Jame
LESSON
Date
Angles Formed by Intersecting Lines
Practice and Problem Solving: C
Class
4-1
Draw your answers in the space provided.
1. Draw two intersecting lines and label the resulting angles with the
numbers 1, 2, 3, and 4.
2. Label 21 with x°. 21 and 22 are supplementary. Find the measure
of 22 and label the diagram.
3. 23 is also supplementary to 2. Find the measure of 23 and label
the diagram.
4. From your work in Problems 1-3, make a conclusion
about the measures of the vertical angles.
5. The diagram shows a light ray passing through a
thin pane of glass. The ray hits the glass at
21 to the surface. It then moves out the other
side at 22 to the surface so that 21 and 22 form
vertical angles.
light ray
glass
2
Write a two-column proof showing that if Z1 and
23 are complementary, and 22 and 24 are
complementary, then m23 = mZ4.
Statements
Reasons
1. 21 and 2 are vertical angles.
1. Given
2. а.
2. Vertical Angle Theorem
3. Definition of Congruent Angles
3. b.
4. 21 and 23 are complementary.
4. Given
5. d.
5. с.
6. Definition of Complementary Angles
6. m21+mZ3 = 90°
7. e.
7. f.
8. Substitution Property
8. g.
9. m23 = mZ4
9. h.
Original content Copyright O by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
60
ar
12. Reco
before
Oata:
er on top of sat
e of water
mple
ture of water in
hot water (a.k
perature of sa
temperature
alorimeter (a
of samp
Transcribed Image Text:11. Jame LESSON Date Angles Formed by Intersecting Lines Practice and Problem Solving: C Class 4-1 Draw your answers in the space provided. 1. Draw two intersecting lines and label the resulting angles with the numbers 1, 2, 3, and 4. 2. Label 21 with x°. 21 and 22 are supplementary. Find the measure of 22 and label the diagram. 3. 23 is also supplementary to 2. Find the measure of 23 and label the diagram. 4. From your work in Problems 1-3, make a conclusion about the measures of the vertical angles. 5. The diagram shows a light ray passing through a thin pane of glass. The ray hits the glass at 21 to the surface. It then moves out the other side at 22 to the surface so that 21 and 22 form vertical angles. light ray glass 2 Write a two-column proof showing that if Z1 and 23 are complementary, and 22 and 24 are complementary, then m23 = mZ4. Statements Reasons 1. 21 and 2 are vertical angles. 1. Given 2. а. 2. Vertical Angle Theorem 3. Definition of Congruent Angles 3. b. 4. 21 and 23 are complementary. 4. Given 5. d. 5. с. 6. Definition of Complementary Angles 6. m21+mZ3 = 90° 7. e. 7. f. 8. Substitution Property 8. g. 9. m23 = mZ4 9. h. Original content Copyright O by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 60 ar 12. Reco before Oata: er on top of sat e of water mple ture of water in hot water (a.k perature of sa temperature alorimeter (a of samp
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