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Identify Angles formed by Transversals - Warm Up 3.3 on Desk

This activity helps students identify and describe angles formed by transversals intersecting coplanar lines.

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Identify Angles formed by Transversals - Warm Up 3.3 on Desk

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  1. Warm Up 3.3on desk Do Daily Quiz3.2

  2. ESSENTIAL OBJECTIVE Identify Angles formed by transversals

  3. A transversal is a line that intersects two or more coplanar lines at different points. VOCABULARY

  4. A transversal is a line that intersects two or more coplanar lines at different points. VOCABULARY

  5. When two lines are intersected by a transversal, two angles are called … corresponding angles if they occupy corresponding positions. VOCABULARY

  6. 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

  7. 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

  8. 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 VOCABULARY

  9. Example 1 Describe the relationship between the angles. a. 1and 2 b. 3and 4 c. 5and 6 SOLUTION a. alternate interior angles b. alternate exterior angles c. same-side interior angles Describe Angles Formed by Transversals

  10. Example 2 List all pairs of angles that fit the description. a. corresponding b. alternate exterior c. alternate interior d. same-side interior SOLUTION a. corresponding 1and5 2and6 3and7 4and8 Identify Angles Formed by Transversals

  11. Example 2 b. alternate exterior: 1and8 3and6 c. alternate interior: 2and7 4and5 d. same-side interior: 2and5 4and7 Identify Angles Formed by Transversals

  12. Checkpoint 1. 2 and7 2. 3 and5 3. 1 and5 Describe Angles Formed by Transversals Describe the relationship between the angles.

  13. Checkpoint 1. 2 and7 alternate exterior angles ANSWER 2. 3 and5 same-side interior angles ANSWER 3. 1 and5 corresponding angles ANSWER Describe Angles Formed by Transversals Describe the relationship between the angles.

  14. Checkpoint Describe the relationship between the angles. 4. 4 and5 5. 4 and8 6. 4 and6 Describe Angles Formed by Transversals

  15. Checkpoint Describe the relationship between the angles. 4. 4 and5 alternate interior angles ANSWER 5. 4 and8 corresponding angles ANSWER 6. 4 and6 same-side interior angles ANSWER Describe Angles Formed by Transversals

  16. Determine whether enough information is given to conclude that the statement is true. Explain. 1. 1 3 Yes; all right angles are congruent. ANSWER 2. 45 No; not enough information is given. ANSWER REVIEW

  17. ANSWER x = 8 4. 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. 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 3. Find the value of xgiven that s t.

  18. HW Worksheet 3.3

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