Warm Up 3.3 on desk Do Daily Quiz3.2
ESSENTIAL OBJECTIVE Identify Angles formed by transversals
VOCABULARY A transversal is a line that intersects two or more coplanar lines at different points.
VOCABULARY A transversal is a line that intersects two or more coplanar lines at different points.
VOCABULARY When two lines are intersected by a transversal, two angles are called … corresponding angles if they occupy corresponding positions.
VOCABULARY When two lines are intersected by a transversal, two angles are called …alternate interior angles if they lie between the two lines on the opposite sides of the transversal.
VOCABULARY When two lines are intersected by a transversal, two angles are called … alternate exterior angles if they lie outside the two lines on the opposite sides of the transversal.
VOCABULARY When two lines are intersected by a transversal, two angles are called …same-side interior angles if they lie between the two lines on the same side of the transversal
Describe the relationship between the angles. Example 1 Describe Angles Formed by Transversals Describe the relationship between the angles. a. 1 and 2 b. 3 and 4 c. 5 and 6 SOLUTION alternate interior angles a. alternate exterior angles b. same-side interior angles c. 9
List all pairs of angles that fit the description. Example 2 Identify Angles Formed by Transversals List all pairs of angles that fit the description. a. corresponding b. alternate exterior c. alternate interior d. same-side interior SOLUTION corresponding a. 1 and 5 2 and 6 3 and 7 4 and 8 10
Example 2 alternate exterior: b. 1 and 8 3 and 6 Identify Angles Formed by Transversals alternate exterior: b. 1 and 8 3 and 6 alternate interior: c. 2 and 7 4 and 5 same-side interior: d. 2 and 5 4 and 7 11
Describe the relationship between the angles. Checkpoint Describe Angles Formed by Transversals Describe the relationship between the angles. 2 and 7 1. 3 and 5 2. 1 and 5 3.
Describe the relationship between the angles. Checkpoint Describe Angles Formed by Transversals Describe the relationship between the angles. 2 and 7 1. ANSWER alternate exterior angles 3 and 5 2. ANSWER same-side interior angles 1 and 5 3. ANSWER corresponding angles
Describe the relationship between the angles. Checkpoint Describe Angles Formed by Transversals 4 and 5 4. Describe the relationship between the angles. 4 and 8 5. 4 and 6 6.
Describe the relationship between the angles. Checkpoint Describe Angles Formed by Transversals 4 and 5 4. Describe the relationship between the angles. ANSWER alternate interior angles 4 and 8 5. ANSWER corresponding angles 4 and 6 6. ANSWER same-side interior angles
REVIEW 1. 1 3 Determine whether enough information is given to conclude that the statement is true. Explain. Yes; all right angles are congruent. ANSWER 2. 4 5 No; not enough information is given. ANSWER
3. Find the value of x given that s t. x = 8 ANSWER Angela constructs this bean pole for her beans to climb. The horizontal pieces must be at right angles to the vertical pole. Must Angela measure all four angles at each connection point to be sure they are all right angles? Explain. 4. No; if one angle is a right angle, then the horizontal piece and the pole are perpendicular. If they are perpendicular, then all four angles are right angles. (Theorem 3.2) ANSWER
HW Worksheet 3.3