Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.A pair of parallel lines is cut by a transversal as shown in the figure. Identify the types of angles created by the transversal.corresponding anglesvertical anglesalternate interior anglesalternate exterior anglesadjacent anglesangles F and Hangles D and Hangles E and Hangles B and H
Question
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.A pair of parallel lines is cut by a transversal as shown in the figure. Identify the types of angles created by the transversal.corresponding anglesvertical anglesalternate interior anglesalternate exterior anglesadjacent anglesangles F and Hangles D and Hangles E and Hangles B and H
Solution
The types of angles created by the transversal are as follows:
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Angles F and H: These are Alternate Exterior Angles. Alternate exterior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and outside the two lines are alternate exterior angles.
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Angles D and H: These are Corresponding Angles. Corresponding angles are formed when a transversal passes through two lines. The angles that are in the same position on the two lines in relation to the transversal are corresponding angles.
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Angles E and H: These are Vertical Angles. Vertical angles are the angles opposite each other when two lines cross. They are always equal.
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Angles B and H: These are Alternate Interior Angles. Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In this case, there are no pairs of adjacent angles mentioned.
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