1. Given
Corresponding angles postulate
∠7 ≌∠9
Transitive Property (3,4)

2. Definition of perpendicular
P is parallel to q
given
P is perpendicular to l
given
If a line is perpendicular to one of two lines
then it is perpendicular to the other.
q is perpendicular to l
m∠2 = 900
Definition of perpendicular
m∠8 = 900
Definition of perpendicular
∠2 ≌ ∠8
All right angles are congruent

3. Q R P S v v v v 1 4 2 3 5 6 7 8 IN CLASS TEST #1
YOUR
NAME
HERE
IN CLASS TEST #1 Q
Fill in the blank with either acute, obtuse, or right.
1) ∠PSR is ____________________
2) ∠QSR is ____________________
Find the angle measurements (you may use a protractor).
3) m∠PSR = ______0 4) m∠PSQ = _____0 P R S
5) If OA bisects ∠XOY and m∠XOA=180, then find m∠AOY__________________
Please identify:
6) a pair of vertical angles: ____ & ____
7) a pair of alternate exterior angles ___ & ___
8) a pair of alternate interior angles ___ & ___
9) a pair of complementary angles ____ & _____
10) Supplementary angles add up to ______ ) Complementary angles add up to ______0
Find the measurements of the unknown angles.
∠12 __________0 ∠13 ___________0 ∠14 _________0 1 4 2 3 5 6 7 8 v v 12
990 13 14
810 v v
* IJ bisects ∠LJK
* Multiplication property
* m ∠1 = m∠2
* Definition of an angle bisector
*m ∠1 = m ∠LJK

5. When 2 lines are cut by a transversal, such that corresponding ∠s are ≅, then those two lines are ∥
When 2 ∥ lines are cut by a transversal, all pairs of corresponding ∠s are ≅
When 2 lines are cut by a transversal, such that alt. exterior ∠s are ≅, then those two lines are ∥
When 2 ∥ lines are cut by a transversal, all pairs of alternative exterior ∠s are ≅
When 2 lines are cut by a transversal, such that alt. interior ∠s are ≅, then those two lines are ∥
When 2 ∥ lines are cut by a transversal, all pairs of alternative interior ∠s are ≅
When 2 lines are cut by a transversal, such that same-side interior ∠s are supplementary, then those two lines are ∥
When 2 ∥ lines are cut by a transversal, all pairs of same-side interior ∠s are supplementary
When 2 lines are cut by a transversal, such that same-side exterior ∠s are supplementary, then those two lines are ∥
When 2 ∥ lines are cut by a transversal, all pairs of same-side exterior ∠s are supplementary +

6. ≅ ∟ ∟ v v v v Finding angles on PARALLEL LINES The Parallel Postulate
If __________ lines are parallel to a third line, then the lines are ________
to each other. v v
The Parallel Postulate p v
auxiliary line
Through a given point ______ on a line, exactly ________ line may be drawn parallel to the line. ∟
ACUTE
ACUTE and complimentary,
right?
The _____________ angles of a right triangle are __________________
Congruent, congruent, congruent ∟ ≅
If 2 angles of a triangle are _____________to 2 angles of another triangle, then the remaining pair of angles are also __________________

7. Lines are parallel if... pushes out caves in
Proving lines are parallel
Lines are parallel if... 1) 2) 3) 4)
Alternate interior angles are congruent.
Corresponding angles are congruent.
Alternate exterior angles are congruent.
Interior ∠s on the same side of the transversal are supplementary.
CONVEX pushes out
CONCAVE
caves in
pushes
out
caves in

8. Name:___________________
𝑚∠NXQ+𝑚∠NQX + 𝑚 ∠XNQ=1800

9. Name:___________________
Identify each triangle as equilateral, isosceles, scalene, or impossible.