Lesson 1–3 & 1–4 Objectives

Lesson 1–3 & 1–4 Objectives • Be able to name & classify angles • Be able to identify types of angle pairs • Be able to find measures of angle pairs State HSCE: G1.1.1

Angle formed by two rays Vertex  common endpoint Angles measured in degrees  360° in full circle Angle Name R, SRT, TRS, or 1 Copy Post. 1-3-1 onto your Post/Thm sheet

Congruent anles  equal measures ABC  DEF vs. mABC = mDEF Copy Post. 1-3-2 onto your Post/Thm sheet

Angle bisector splits equally JK bisects LJM; thus LJK KJM.

EXAMPLE 1: Name all the angles in the picture.

EXAMPLE 2: Find the measure of and classify each angle: ZXY & VXW

EXAMPLE 3: mXWZ = 121° and mXWY = 59°; find mYWZ

EXAMPLE 4: KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM.

Vertical angles nonadjacent, but have same vertex 1 and 3 2 and 4

EXAMPLE 1: AEB and BED – are they just adjacent, are they adjacent and form a linear pair, or are they not adjacent?

EXAMPLE 2: • Find the: • Complement of G • Supplement of G

EXAMPLE 3: An angle is 10° more than three times its complement. Find the measure of the complement Complement: x “Original” angle: 3x + 10

EXAMPLE 4: Light passing through a fiber-optic cable reflects off the walls in such a way that 1  2, 1 is complementary to 3, and 2 is complementary to 4. Find the other angle measures if m1 = 38°

EXAMPLE 5: Name two pairs of vertical angles

Lesson 1–3 & 1–4Assignment

Lesson 1–3 & 1–4 Objectives