Geometry: Check Skills p 127 # 5 and #6 The sum of and twice its compliment is 146. Find The measure of two supplementary angles are in the ratio of 2:3. Find their measures. Compliment
At your table name all of the angles in this diagram… Chapter 3: Sections 1 and 2 Properties of Parallel Lines At your table name all of the angles in this diagram… VOCABULARY Transversal A line that intersects two coplanar lines at two distinct points. Is a transversal, it intersects
Properties of Parallel Lines VOCABULARY Pairs of angles have special names based on their positions. Alternate Interior Angles – angles that lie within the two intersected lines, and on alternate sides of the transversal are alternate interior angles Find the other pair of alternate interior angles.
Properties of Parallel Lines VOCABULARY Same-side Interior Angles – Angles within the two intersected lines, and on the same side of the transversal. are same-side interior angles Find the other pair of alternate interior angles.
Properties of Parallel Lines VOCABULARY Corresponding Angles – angles which hold the corresponding positions on each of the intersected lines. are corresponding angles Find the other pairs of corresponding angles.
Practice!
Sometimes, the transversal intersects two lines that are parallel Sometimes, the transversal intersects two lines that are parallel. If and ONLY if the two intersected lines are parallel, then there are many relationships that can be drawn!
1 8 7 2 3 4 5 6 Activity with Tracing Paper
Corresponding Angles Postulate If a transversal intersects two parallel lines, then corresponding angles are congruent.
Alternate Interior Angles Theorem If a transversal intersects two parallel lines, then alternate interior angles are congruent.
Same-side Interior Angles Theorem If a transversal intersects two parallel lines, then the same side interior angles are supplementary.
Properties of Parallel Lines VOCABULARY Same-side Exterior Angles, angles on the outside of the two intersected lines, and on the same side of the transversal. are same-side exterior angles Find the other pairs of same-side exterior angles.
Properties of Parallel Lines Alternate Exterior Angles – angles on the outside of the two intersected lines, and on alternate sides of the transversal. are alternate exterior angles Find the other pair of alternate exterior angles.
Alternate Exterior Angles Theorem If a transversal intersects two parallel lines, then the alternate exterior angles are congruent.
Same-side Exterior Angles Theorem If a transversal intersects two parallel lines, then the same-side exterior angles are supplementary.
Time for Fun!!! Find the measure of all other angles.
Solve for x and y
Solve for x and y
Find the measure of the angle
Solve for x
Geometry Homework Head a fresh sheet of paper with the title “Geometry HW (Ch-Sec)” and then write the due date. List all assigned problems at the top of the page. This will go in your Geometry Notebook. Please circle your answer, and leave a blank line after each problem. Name Geometry Ms Sheffield Geometry HW 3.1-3.2 P 131-32: 6,12-22 even, 23,25 P137: 5, 7, 24-25,