1. Geometry/Trig Name __________________________
Unit 1 Algebra Connections Date ______________ Block _______
Postulate: ____________________________________________________________________
____________________________________________________________________________
Theorem: ____________________________________________________________________
Segment Addition Postulate: ______________________________________________________
____________________________________________________________________________
Diagram: Ex 1: If AB = _________ and BC = _________,
then AC = ___________.
Example 2: Given that AB = 24, solve for x, AC and CB.
Example 3: Given that C is the midpoint of , find x, AC, BC and AB. A B C A B C
x = ______
AC = ______
CB = ______
x = ______
AC = ______
BC = ______
AB = ______
Is C the midpoint of ? ______
Example 4:
Given that bisects If AC = 3x + 1 and AB = 11x - 6, solve for each missing length.
x = ______
AC = ______
CB = ______
AB = ______

2. Unit 1 Algebra Connections
Geometry/Trig
Unit 1 Algebra Connections
Angle Addition Postulate: If B lies on the interior of AOC, then
_________ + _________ = _________
Example 1:
mÐAOC = _______
Example 2:
mÐBQC = x – 7, mÐCQD = 2x – 1, mÐBQD = 2x + 34
Find x, mÐBQC, mÐCQD, mÐBQD. B Q D C
x = _______
mÐBQC = _______
mÐCQD = _______
mÐBQD = _______
Example 3:
Given: bisects AQC.
Find x, mÐAQB, mÐBQC,
mÐAQC.
Example 4:
bisects AQC.
mÐAQB = 4x and
mÐAQC = 13x – 60. A Q C B A Q C B
x = _______
mÐAQB = _______
mÐBQC = _______
mÐAQC = _______
x = _______
mÐAQB = _______
mÐBQC = _______
mÐAQC = _______

3. Unit 1 Algebra Connections
Geometry/Trig
Unit 1 Algebra Connections
TRY THESE ON YOUR OWN!! Solve for x. 1) 2) 3)
Example 5:
Given: bisects ÐBQD, mÐCQB = 3x and mÐAQB = 4x + 35.
Find x, mÐAQB, mÐBQC, and mÐAQD.
x = _______
mÐAQB = _______
mÐBQC = _______
mÐAQD = _______
Example 6:
Solve for x and y.
Example 7:
Given
bisects ÐEHC and
mÐBHC = 32°. Fill in all missing angles.
(2x)°
(3y – 17)°
(5x + 12)°
mÐAHB = ______
mÐCHE = ______
mÐAHF = ______
mÐFHE = ______
mÐCHD = ______
mÐAHD = ______
mÐAHE = ______
mÐGHD = ______
mÐBHD = ______
mÐGHE = ______