2.7 – prove angle pair relationships
DESCRIPTION
2.7 – Prove Angle Pair Relationships. right. congruent. linear. pair. supplementary. supplementary. congruent. 2. 1. m 1 + m 2 = 180 °. 3. m 2 + m 3 = 180 °. 1 3. Congruent Complements Theorem: If two angles are ______________________ to - PowerPoint PPT PresentationTRANSCRIPT
2.7 – Prove Angle Pair Relationships
Right Angles Congruence Theorem:
All _____________ angles are ______________ .right congruent
Linear Pair Postulate:
If two angles form a __________ _________,
then they are ____________________.
linear pair
supplementary
Congruent Supplements Theeorem:
If two angles are ______________ to the same
angle, then they are ____________ .congruent
supplementary
123m1 + m2 = 180°
m2 + m3 = 180°
1 3
Congruent Complements Theorem:
If two angles are ______________________ to
the same angle, then they are ___________ .
complementary
congruent
Vertical Angles Congruence Theorem:
Vertical angles are ________________.congruent
1. If m1 = 53°, find m2, m3, m4, and m5.
53°
53° 37°
37°
90°
2. If m4 + m3 = 144°, find m1, m2, and m5.
36°
36°54°
144°
3x + 48 = 180 -48 -48
3x = 1323 3x = 44°
3. Find the value of x.
6x – 2 + 7x = 180
+2 +213x = 18213 13x = 14°
13x – 2 = 180
3. Find the value of x.
8x = 808 8
x = 10°
3. Find the value of x.
9x + 7 = 5x + 67-5x -5x .
4x + 7 = 67
4 4
x = 15°
-7 -74x = 60
3. Find the value of x.
4. Find the value of x and y. Then find the measure of each angle.
4y + 17y – 9 = 180 21x – 3 + 5x + 1 =180
21y – 9 = 180
21y = 189
y = 9
26x – 2 = 180
26x = 182x = 7
4(9) = 36°
36°
144°
36°144°
4. Find the value of x and y. Then find the measure of each angle.
3x + 7 = 4x – 18 7y = 5y + 28 7 = x – 18
25 = x y = 14
7(14) = 98°
2y = 28
82° 98°
82°98°
HW Problem
2.7 # 37
HW ProblemSection Page # Assignment
2.7Ch 2 Review
127-131134-137
138
10-14 even, 28, 376-10, 12-14, 17-20, 225, 9, 10, 17-19
1. Given
2. Def. of comp. angles
m1+m2 = m1+m3 m2 = m3
5. Def. congruent angles