<p>NAME ______PD____ DATE______INVESTIGATION: PROPERTIES OF PARALLEL LINES</p><p>STEP 1: Go to the following website: http://www.mathwarehouse.com/geometry/angle/interactive-transveral-angles.php </p><p>STEP 2: Click on the DIRECTIONS button located under the “Angles of Parallel Lines and A Transversal” heading. </p><p>STEP 3: Carefully READ the directions for how to move the lines, then click the DIRECTIONS button again to close the box.</p><p>STEP 4: Experiment with moving the parallel lines and the transversal. Roll the mouse over different angles and observe how the measurements light up.</p><p>PART 1: CORRESPONDING ANGLES Click on the button labeled CORRESPONDING ANGLES located on the right hand side of the page. Corresponding angles will be color-coded.</p><p>A. Locate 2 pairs of corresponding angles and record their measurements: ANGLE MEASUREMENT 1a.</p><p>1b.</p><p>2a.</p><p>2b.</p><p>Sketch the BOTH Corresponding Angles below. Accurately, label the angles WITH the appropriate degrees NAME ______PD____ DATE______</p><p>B. MOVE the parallel lines and the transversal. Locate 2 pairs of corresponding angles and record their measurements: ANGLE MEASUREMENT 3a.</p><p>3b.</p><p>4a.</p><p>4b.</p><p>Sketch TWO MORE Corresponding Angles with their correct labels and degrees</p><p>What do you notice about the corresponding angles?</p><p>Compare your results with your partner(s). Make a conjecture based on the information you collected.</p><p>When parallel lines are cut by a transversal, corresponding angles formed are______. (CORRESPONDING ANGLES CONJECTURE) NAME ______PD____ DATE______PART 2: ALTERNATE INTERIOR ANGLES Click on the button labeled ALTERNATE INTERIOR ANGLES located on the right hand side of the page. Alternate interior angles will be color-coded.</p><p>A. Locate 2 pairs of alternate interior angles and record their measurements: ANGLE MEASUREMENT 1a.</p><p>1b.</p><p>2a.</p><p>2b.</p><p>Sketch a TWO pairs of Alternate Interior Angles below. Accurately, label the angles WITH the appropriate degrees NAME ______PD____ DATE______</p><p>B. MOVE the parallel lines and the transversal. Locate 2 pairs of alternate interior angles and record their measurements: ANGLE MEASUREMENT 3a.</p><p>3b.</p><p>4a.</p><p>4b.</p><p>Sketch TWO more pairs of Alternate Interior Angles below. Accurately, label the angles WITH the appropriate degrees</p><p>What do you notice about the alternate interior angles? </p><p>Compare your results with your partner(s). Make a conjecture based on the information you collected.</p><p>When parallel lines are cut by a transversal, alternate interior angles formed are______. (ALTERNATE INTERIOR ANGLES CONJECTURE) NAME ______PD____ DATE______PART 3: ALTERNATE EXTERIOR ANGLES Click on the button labeled ALTERNATE EXTERIOR ANGLES located on the right hand side of the page. Alternate exterior angles will be color-coded.</p><p>A. Locate 2 pairs of alternate exterior angles and record their measurements: ANGLE MEASUREMENT 1a.</p><p>1b.</p><p>2a.</p><p>2b.</p><p>Sketch TWO pairs of Alternate EXTERIOR Angles below. Accurately, label the angles WITH the appropriate degrees</p><p>B. NAME ______PD____ DATE______MOVE the parallel lines and the transversal. Locate 2 pairs of alternate exterior angles and record their measurements: ANGLE MEASUREMENT 3a.</p><p>3b.</p><p>4a.</p><p>4b.</p><p>Sketch TWO more pairs of Alternate EXTERIOR Angles below. Accurately, label the angles WITH the appropriate degrees</p><p>What do you notice about the alternate exterior angles? </p><p>Compare your results with your partner(s). Make a conjecture based on the information you collected.</p><p>When parallel lines are cut by a transversal, alternate exterior angles formed are______. (ALTERNATE EXTERIOR ANGLES CONJECTURE) NAME ______PD____ DATE______</p><p>PART 4: SAME-SIDE INTERIOR ANGLES (A.K.A CONSECUTIVE)</p><p>A. Locate 2 pairs of same-side interior angles (A.K.A CONSECUTIVE) and record their measurements: ANGLE MEASUREMENT 1a.</p><p>1b.</p><p>2a.</p><p>2b. NAME ______PD____ DATE______</p><p>B. MOVE the parallel lines and the transversal. Locate 2 pairs of same-side interior angles and record their measurements: ANGLE MEASUREMENT 3a.</p><p>3b.</p><p>4a.</p><p>4b.</p><p>Sketch 2 examples of consecutive angles. Be sure to label the angles and include the degrees,</p><p>What do you notice about the same-side interior angles? </p><p>Compare your results with your partner(s). Make a conjecture based on the information you collected.</p><p>When parallel lines are cut by a transversal, same-side interior angles (CONSECUTIVE) formed are______. (SAME-SIDE INTERIOR ANGLES CONJECTURE) NAME ______PD____ DATE______</p><p>SUMMARY</p><p>Corresponding Angles Conjecture: If two parallel lines are cut by a transversal, then the corresponding angles are ______.</p><p>Conversely, If two lines are cut by a transversal form pairs of congruent corresponding angles, then the lines are parallel </p><p>Alternate Interior Angles Conjecture: If two parallel lines are cut by a transversal, then the alternate interior angles are ______. Conversely, ______.</p><p>Alternate Exterior Angles Conjecture: If two parallel lines are cut by a transversal, then the alternate exterior angles are ______. Conversely, ______</p><p>Same-Side Interior Angles (CONSECUTIVE ANGLES) Conjecture: If two parallel lines are cut by a transversal, then the same-side interior angles are ______. Conversely, ______NAME ______PD____ DATE______FINAL CHECKS FOR UNDERSTANDING</p><p>1 2 3 4 a 5 6 7 8</p><p>9 10 11 12 b 13 14 15 16 c d Given a // b, name all angles which are congruent to 4. ______</p><p>Given c // d, name all angles which are congruent to 16.______</p><p>Given a // b and c // d, name all angles which are congruent to 1.______</p><p>2</p><p>120 1</p><p> a. m ∠ 1 = ______a. m ∠ 1 = ______a. m ∠ 1 = ______</p><p>REASON: REASON: REASON: ______</p><p> b. m ∠ 2 = _____ b. m ∠ 2 = _____ b. m ∠ 2 = _____</p><p>REASON: REASON: REASON: ______NAME ______PD____ DATE______ALGEBRA: Now, try this one. Solve for “x” and the angle: </p><p>(x + 10)º</p><p>115º </p>