Download Identifying Angles

Identifying Angles
3-1 Note-taking Guide
DLB Geometry
Alternate Interior Angles are…
non-adjacent interior angles that lie on opposite sides of the
transversal.
Examples:
• ∠4 𝑎𝑛𝑑 ∠6
• ∠3 𝑎𝑛𝑑 ∠5
Same-Side Interior Angles are…
interior angles that lie on the same side of the transversal.
Examples:
• ∠4 𝑎𝑛𝑑 ∠5
• ∠3 𝑎𝑛𝑑 ∠6
Corresponding Angles…
lie on the same side of the transversal in corresponding positions.
Examples:
• ∠1 𝑎𝑛𝑑 ∠5
• ∠2 𝑎𝑛𝑑 ∠6
• ∠3 𝑎𝑛𝑑 ∠7
• ∠4 𝑎𝑛𝑑 ∠8
Alternate Exterior Angles are…
non-adjacent exterior angles that lie on opposite sides of the
transversal.
Examples:
• ∠1 𝑎𝑛𝑑 ∠7
• ∠2 𝑎𝑛𝑑 ∠8
Let’s Review
Vertical Angles
and Linear Pairs!
Vertical angles are…
nonadjacent angles formed by two intersecting lines.
Vertical Angles Theorem: Vertical angles are congruent.
Examples of vertical angles:
• ∠1 𝑎𝑛𝑑 ∠3
• ∠5 𝑎𝑛𝑑 ∠7
• ∠2 𝑎𝑛𝑑 ∠4
• ∠6 𝑎𝑛𝑑 ∠8
A Linear Pair is…
adjacent angles whose non-common sides are opposite rays
Linear Pair Postulate: If two angles form a linear pair, then they are
supplementary.
Examples of linear pairs:
• 𝑚∠1 + 𝑚∠2 = 180
• 𝑚∠3 + 𝑚∠4 = 180
• 𝑚∠5 + 𝑚∠6 = 180
• 𝑚∠7 + 𝑚∠8 = 180
• 𝑚∠2 + 𝑚∠3 = 180
• 𝑚∠1 + 𝑚∠4 = 180
• 𝑚∠6 + 𝑚∠7 = 180
• 𝑚∠5 + 𝑚∠8 = 180