University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2024
Views:

472

Pages:

8
Author:

StellarStrategist

Vertical Angles, Linear Pairs and Parallel Line Angle Pairs Objectives: ldentify vertical angles _ ldentify linear pairs Recognize Parallel Lines cut Ьу а Transversal - ldentify alternate interior angles - ldentify corresponding angles - ldentify alternate exterior angles - ldentify same-side interior angles Set up and solve equations using angle relationships Review: Angles сап Ье labeled with one point at the vertex, three po-ints with the vertex in the middle or with numbers. Straight angles are angles with rays in opposite Irec юns-in other words, straight angies are straight lines. Adjacent angles are angles that share а vertex and lementary Angles: Two angles whose sum is 180 ° А1ов· • • С А 8 Complementary Angles: Two angles whose sum is 90 ° Linear Pairs: pairs of adjacent angles whose non-shared sides for straight angle LABE and Lf"CD are поt а li11ear pair. LABC and LCBD are а linear pair. They are adjacent angles \Yith non-shared Tl1ey are not adjaceпt aпgles. sides, cгeatin а strai ht an le. Vertical Angles: vertical angles are congruent Not vertical angles LABC and LtBD are vertical a11gles. LAЯC=:L.tBD LABE and LCBD are vertical ai1gles. L.t\Rf,"=L.CRD LAHC :шd LtBD are not vertical aпgles. ВС апd HD зге not opposite rays. They do not form опе straight line. Parallel Lines: Two or more lines that never intersect. Transversal: А line that intersects two or more lines Alternate lnterior Angles: Between the parallel lines оп I (Z shape). These opposite sides of the tra v angles are congruent : ;;.? Corresponding Angles: Same side of transversal, same position on parallel lines (F shape . These angles are congruent. Alternate Exterior angles. Opposite sides of transversal. Outside of parallel lines. These angles are congruent Alternate lnterior: Corresponding: Alternate Exterior: Same-Side lnterior Angles: Sa me side of tra nsversa 1 between parallel lines .. These angles are supplementary. { 1. Find the measure of Ь. \Лlhat is the angle relationship? 2. Find the value of х: What is the angle relationship? 3. lf mL1 = х - 49 andmL2 = zx + 1, find·mL4given that the lines / and k intersect as shown below. What angle relationships did you use? 4. Name the angle relationship, then find the value of х . 5. There are two sets of parallel lines in the diagram below. Find mL1 given thatmL4 = 27х - 1 and 6. ldentify the angle relationship, then find the measure of the bolded angle. �+ lf L8 measures 119\ what is the sum of the measures of Ll and L4 that makes the lines parallel?