Download Angles Cut by Transversals and Base Angles

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Transcript 
Solve for x.
Warm Up
x + 1 + 3x + 1 = 90
4x + 2 = 90
4x = 88
x = 22
Questions over HW?
Skills Check
Parallel Lines,
Transversals, &
Base Angles
Parallel Lines &
Transversals
Alternate Interior Angles
•Opposite sides of the
transversal & inside the
parallels
•Are congruent
Equation:
angle = angle
Consecutive Interior Angles
•Same side of the transversal
& inside the parallels
•Are supplementary
Equation:
angle + angle = 180
Alternate Exterior Angles
•Opposite sides of the
transversal & outside the
parallels
•Are congruent
Equation:
angle = angle
Corresponding Angles
•Same location but at
different intersections (only
travel on the transversal)
•Are congruent
Equation:
angle = angle
Which path?
Same path:
10
11
12
Angles are
congruent.
13
14
15
16
17
Which path?
Same path:
10
11
12
Angles are
congruent.
13
14
15
16
17
Not on the same path:
Angles are
supplementary.
Isosceles Triangles
Base Angles
•If 2 angles in a triangle are
congruent, then the sides
opposite them are
congruent.
Solve for x.
2x + 25 = 7
12
2x = -18
x = -9
Base Angles
•If 2 sides in a triangle are
congruent, then the angles
opposite them are
congruent.
Solve for x.
6x + 1 = 55
6x = 54
3
x=9
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