Geometry 2.4 and 2.5 Identify Pairs of Lines & Angles · 02/09/2019 · Assignment: 2.4,5 Parallel...
Transcript of Geometry 2.4 and 2.5 Identify Pairs of Lines & Angles · 02/09/2019 · Assignment: 2.4,5 Parallel...
Geometry 2.4 and 2.5
Identify Pairs of Lines & Angles
Goal: I can classify angle pairs
and calculate angles formed by parallel lines and transversals.
[G.CO.9]
Parallel lines:
DEFINE ........
rp
s
Perpendicular lines:
Skew lines:
State an example of the following pairs of lines:Parallel lines
Perpendicular lines
Skew lines
A transversal is a line that intersects two or more coplanar lines at different points.
1 2
3 4
5 6
7 8t
Interior ∠s:
Exterior ∠s:
________ is a transversal
Corresponding Angles
Description:
If lines are ||, then...
equation:
demo
Alternate Exterior Angles
Description:
If lines are ||, then...
equation:
demo
Description:
If lines are ||, then...
Alternate Interior Angles
equation:
demo
Description:
If lines are ||, then...
Consecutive Interior Angles
(same-side interior)
equation:
demo
Corresponding Angles
If 2 parallel lines are cut by a transversal, then corresponding angles are congruent.
Back to def.If //, corresp. ∠s ≅
If 2 parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Alternate Exterior Angles
Back to defIf //, alt. ext. ∠s ≅
Alternate Interior Angles
If 2 parallel lines are cut by a transversal, then alternate interior angles are congruent.
Back to tableIf //, alt. int. ∠s ≅
Consecutive Interior(Same-Side Interior) Angles:
If 2 parallel lines are cut by a transversal, then consecutive (same-side) interior angles are supplementary.
Back to table
If //, consec. int. ∠s supplementary
Classify the pair of numbered angles.
3. 4.
1. 2.
corresponding
alternate exterior
alternate interior
consecutive interior
Justify your answer.
5. 6. 7.
If //, alt. ext. ∠s ≅If //, alt. int. ∠s ≅
vertical ∠s ≅linear pairs are suppl.
If //, corresp. ∠s ≅ If //, consec. int. ∠s suppl.
If //, corresp. ∠s ≅If //, consec. int. ∠s suppl.
If //, corresp. ∠s ≅
If //, alt. ext. ∠s ≅If //, alt. int. ∠s ≅
vertical ∠s ≅linear pairs are suppl.
If //, consec. int. ∠s suppl.
If //, corresp. ∠s ≅
Find the measure of the numbered angles. Justify your answer.9.8.
If //, alt. int. ∠s ≅If //, alt. ext. ∠s ≅
10.
11.
135o
(x – 30)o
y˚
12. Classify the angles type. Then solve for the missing variables.
Solve for x:
Solve for y:
Solve for x:_______________Eqn:_____________________
_______________Eqn:_____________________
type:_____________
Eqn:_____________________
type:
type:
Assignment:
2.4,5 worksheet
If //, corresp. ∠s ≅
If //, alt. int. ∠s ≅
(same-side int. ∠s )
If //, alt. ext. ∠s ≅
Vert. ∠s ≅ Linear Pairs are supplementary
Summary
If //, consec. int. ∠s are supplementary
Assignment: 2.4,5 Parallel lines and Transversal WS
Quiz over 2.1-5 on Friday!
Geometry 2.4,5 Ws Answers
1. parallel
2. perpendicular
3. perpendicular
4. skew
5-8. Answers vary
9.a. corresponding
b. alternate exterior
c. consecutive interior
d. alternate interior
10. 150˚, If || then corr ∠s ≌ 150˚, If ||, alt. ext. ∠s ≌
11. 122˚, If ||, alt int ∠s ≌ 58˚, If || cons int ∠s supp.
12. corr. ∠s ; x = 7
13. cons. int. ∠s ; x = 4
14. alt. int. ∠s ; x =8
15. alt. ext. ∠s ; x = 616. linear pair ; x = 9
17. vertical ∠s ; x =12
#12-16 Show work!
Geometry 2.4,5 Wksht Answers