T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.
-
Upload
lisa-henry -
Category
Documents
-
view
215 -
download
3
Transcript of T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.
![Page 1: T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649daf5503460f94a9cd81/html5/thumbnails/1.jpg)
TRANSITIVE AND SUBSTITUTION PROPERTY
Lesson 2.7
![Page 2: T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649daf5503460f94a9cd81/html5/thumbnails/2.jpg)
Suppose A B and A C.
Is B C?
![Page 3: T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649daf5503460f94a9cd81/html5/thumbnails/3.jpg)
THEOREM 16:
If angles (or segments) are congruent to congruent angles (or segments), they are congruent to each other. (Transitive Property)
THEOREM 17:
If angles (or segments) are congruent to the same angle (or segment), they are congruent to each other. (Transitive Property)
![Page 4: T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649daf5503460f94a9cd81/html5/thumbnails/4.jpg)
1. FG KJ2. GH KJ3. FG GH
4. KG bisects FH
1. Given2. Given3. If segments are to the
same segment, they are . (Transitive Property)
4. If a line divides a segment into two segments, it bisects the segments.
![Page 5: T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649daf5503460f94a9cd81/html5/thumbnails/5.jpg)
If A B, find m A.
2x – 4 = x + 10 x = 14We can now substitute 14 in for x in mA = x + 10 to find mA = 14 + 10 = 24.
This is the Substitution Property. It can be applied when you have variables or not.
![Page 6: T RANSITIVE AND S UBSTITUTION P ROPERTY Lesson 2.7.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649daf5503460f94a9cd81/html5/thumbnails/6.jpg)
1. 1 + 2 = 90°2. 1 33. 3 + 2 = 90°
1. Given2. Given3. Substitution (step 2
into step 1)