Download Lesson 7: Solve for Unknown Angles—Transversals

GEOMETRY
Lesson 7
NYS COMMON CORE MATHEMATICS CURRICULUM
Name:_______________________________
M1
Date:__________________________
Lesson 7: Solve for Unknown Angles—Transversals
Discussion
⃡ and 𝐶𝐷
⃡ in a plane (see the diagram below), a third line 𝐸𝐹 is called a
Given a pair of lines 𝐴𝐵
⃡ at a single but different point.
transversal if it intersects 𝐴𝐵 at a single point and intersects 𝐶𝐷
The two lines 𝐴𝐵 and 𝐶𝐷 are parallel if and only if the following types of angle pairs are
congruent or supplementary:

Corresponding Angles are equal in measure
(Name all pairs of corresponding angles)
____________________________________________

Alternate Interior Angles are equal in
measure
(Name all pairs of Alternate Interior angles)
____________________________________________

Same Side Interior Angles are supplementary
(Name all pairs of Same Side Interior angles)
____________________________________________
Examples
a.
b.
𝑚∠𝑎 = ________
c.
𝑚∠𝑏 = ________
d.
𝑚∠𝑐 = _______
𝑚∠𝑑 = ________
Exercises
In each exercise below, find the unknown (labeled) angles. Give reasons (name the angle
relationship) for your solutions.
1.
𝑚∠𝑎 = _______
𝑚∠𝑏 = _______
𝑚∠𝑐 = ________
2.
𝑚∠𝑑 = _______
3.
𝑚∠𝑒 = ________
𝑚∠𝑓 = ________
4.
𝑚∠𝑔 = ________
Lesson 7:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Solve for Unknown Angles—Transversals
9/29/15
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
S.39
5.
𝑚∠ℎ = _______
6.
𝑚∠𝑖 = _______
7.
𝑚∠𝑗 = _________
𝑚∠𝑘 = _________
𝑚∠𝑚 = _________
Lesson 7:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Solve for Unknown Angles—Transversals
9/29/15
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
S.40
8.
𝑚∠𝑛 = ________
9.
𝑚∠𝑝 = ________
𝑚∠𝑞 = ________
10.
𝑚∠𝑟 = _________
Lesson 7:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Solve for Unknown Angles—Transversals
9/29/15
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
S.41
Name:______________________________
Geometry M1L7 HW Unknown Angles and Transversals
Date:____________
Period:__________
Find the unknown (labeled) angles. Give reasons for your solutions.
1.
𝑚∠𝑎 = ________
2.
𝑚∠𝑏 = _________
𝑚∠𝑐 = _________
Lesson 7:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Solve for Unknown Angles—Transversals
9/29/15
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
S.42
3.
𝑚∠𝑑 = __________
𝑚∠𝑒 = __________
4.
Hint: first find x.
𝑚∠𝑓 = __________
Lesson 7:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Solve for Unknown Angles—Transversals
9/29/15
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
S.43