Vertical Angles Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows a horizontal line intersecting two parallel slanting lines. The angles the horizontal line forms with left parallel line are 1, 2, 3, and 4. Angles 1 and 2 are complementary. Angles 2 and 4 are complementary. Angles 4 and 3 are complementary. Angles 3 and 1 are complementary. Angles 1 and 4 are opposite each other. Angles 2 and 3 are opposite each other. The angles the horizontal line forms with right parallel line are 5, 6, 7, and 8. . Angles 5 and 6 are complementary. Angles 6 and 8 are complementary. Angles 8 and 7 are complementary. Angles 7 and 5 are complementary. Angles 5 and 8 are opposite each other. Angles 6 and 7 are opposite each other.
Which angle makes a vertical pair with ∠3 ?
(1 point)
∠1
Use the image to answer the question.
An illustration shows a horizontal line intersecting two parallel slanting lines. The angles the horizontal line forms with left parallel line are 1, 2, 3, and 4. Angles 1 and 2 are complementary. Angles 2 and 4 are complementary. Angles 4 and 3 are complementary. Angles 3 and 1 are complementary. Angles 1 and 4 are opposite each other. Angles 2 and 3 are opposite each other. The angles the horizontal line forms with right parallel line are 5, 6, 7, and 8. . Angles 5 and 6 are complementary. Angles 6 and 8 are complementary. Angles 8 and 7 are complementary. Angles 7 and 5 are complementary. Angles 5 and 8 are opposite each other. Angles 6 and 7 are opposite each other.
Which angle makes a vertical pair with ∠3 ?
∠4
proof
To prove that ∠4 is the angle that makes a vertical pair with ∠3, we can use the property of vertical angles. According to the information given, angles 1 and 4 are opposite each other, and angles 3 and 1 are complementary.
By the definition of vertical angles, when two lines intersect, the angles that are opposite each other are called vertical angles. In this case, the horizontal line intersects the slanting lines, creating vertical angles.
Since angles 1 and 4 are opposite each other, we can conclude that ∠4 is the angle that makes a vertical pair with ∠3.