Lesson 3-6 Congruent Angles. Ohio Content Standards:
-
Upload
shonda-ross -
Category
Documents
-
view
216 -
download
0
Transcript of Lesson 3-6 Congruent Angles. Ohio Content Standards:
![Page 1: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/1.jpg)
Lesson 3-6Lesson 3-6
Congruent Angles
![Page 2: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/2.jpg)
Ohio Content Standards:
![Page 3: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/3.jpg)
Ohio Content Standards:
Formally define geometric figures.
![Page 4: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/4.jpg)
Ohio Content Standards:
Recognize and apply angle relationships in situations involving
intersecting lines, perpendicular lines and parallel lines.
![Page 5: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/5.jpg)
Congruent Angles
![Page 6: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/6.jpg)
Congruent Angles
Angles that have the same degree measure.
![Page 7: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/7.jpg)
Vertical Angles
![Page 8: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/8.jpg)
Vertical AnglesTwo nonadjacent angles formed by a pair of intersecting lines.
![Page 9: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/9.jpg)
Vertical AnglesTwo nonadjacent angles formed by a pair of intersecting lines.
1 34
2
![Page 10: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/10.jpg)
Theorem 3-1Vertical Angles Theorem
![Page 11: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/11.jpg)
Theorem 3-1Vertical Angles Theorem
Vertical angles are congruent.
![Page 12: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/12.jpg)
Theorem 3-1Vertical Angles Theorem
Vertical angles are congruent.
1 34
2
![Page 13: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/13.jpg)
Find the value of x in each figure.
![Page 14: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/14.jpg)
Find the value of x in each figure.
x° 100°
![Page 15: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/15.jpg)
Find the value of x in each figure.
75° (x – 18)°
![Page 16: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/16.jpg)
Theorem 3-2
![Page 17: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/17.jpg)
Theorem 3-2
If two angles are congruent, then their complements are
congruent.
![Page 18: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/18.jpg)
Theorem 3-3
![Page 19: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/19.jpg)
Theorem 3-3
If two angles are congruent, then their supplements are
congruent.
![Page 20: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/20.jpg)
Theorem 3-4
![Page 21: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/21.jpg)
Theorem 3-4If two angles are
complementary to the same angle, then they are
congruent.
![Page 22: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/22.jpg)
Theorem 3-5
![Page 23: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/23.jpg)
Theorem 3-5If two angles are
supplementary to the same angle, then they are
congruent.
![Page 24: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/24.jpg)
Theorem 3-6
![Page 25: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/25.jpg)
Theorem 3-6
If two angles are congruent and supplementary, then each
is a right angle.
![Page 26: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/26.jpg)
Theorem 3-7
![Page 27: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/27.jpg)
Theorem 3-7
All right angles are congruent.
![Page 28: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/28.jpg)
A. ary tosupplement
is that anglean of measure theFind
47.Bm and BA Suppose
![Page 29: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/29.jpg)
3.m and 1m Find 105. 2m
and 2, ary tosupplement is 3
2, ary tosupplement is 1 figure, In the
1 32
![Page 30: Lesson 3-6 Congruent Angles. Ohio Content Standards:](https://reader033.fdocuments.in/reader033/viewer/2022051618/56649cee5503460f949bc67d/html5/thumbnails/30.jpg)
HomeworkPgs. 126-127
9-21 all,
24-28 all