Adjacent Angles Worksheets Grade 7
Are you teaching Grade 7 students about adjacent angles? If you're in search of worksheets that effectively cover this topic, you've come to the right place. Our collection of Grade 7 adjacent angles worksheets provides a comprehensive and educational tool for helping students understand and practice this fundamental concept in geometry.
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What are adjacent angles?
Adjacent angles are two angles that share a common vertex and a common side, but do not overlap. This means that the two angles are side by side and do not share any interior points.
How can you determine if two angles are adjacent?
Two angles are considered adjacent if they share a common side and a common vertex, and if the angle formed by extending one side of the angle lies within the other angle. In other words, if the two angles overlap and do not overlap fully forming a straight line, then they are considered adjacent.
Can adjacent angles be a right angle?
Yes, adjacent angles can be a right angle if they add up to 90 degrees. Adjacent angles are two angles that share a common side and vertex, and when the sum of these angles is 90 degrees, they are considered a pair of adjacent angles that form a right angle.
Can adjacent angles be supplementary?
No, adjacent angles cannot be supplementary because adjacent angles share a common side and their sum is always 180 degrees. Supplementary angles, on the other hand, are two angles whose sum is 180 degrees but they do not share a common side.
Give an example of two adjacent angles that are not supplementary.
An example of two adjacent angles that are not supplementary is a 60-degree angle and a 120-degree angle. These two angles add up to 180 degrees, which means they are not supplementary (since supplementary angles add up to 180 degrees).
Are adjacent angles always congruent?
No, adjacent angles are not always congruent. Adjacent angles are angles that share a common side and a common vertex, but they do not have to be equal in measure unless they are specifically stated to be so. Congruent angles, on the other hand, are angles that have the same measure. So while adjacent angles can be congruent in some cases, they are not always congruent by definition.
Are adjacent angles always formed by intersecting lines?
Yes, adjacent angles are always formed by intersecting lines. Adjacent angles are angles that have a common vertex and a common side but do not overlap. When two lines intersect, they form pairs of adjacent angles on both sides of the intersection point.
Can adjacent angles have a common vertex and a common side?
Yes, adjacent angles can have a common vertex and a common side. When two angles share a common vertex and a common side, they are considered adjacent angles. This means that they are next to each other and do not overlap, forming a pair of angles that share a side and a vertex.
Can adjacent angles have a common vertex and no common side?
No, adjacent angles must have a common vertex and a common side. Two angles are considered adjacent if they share a common vertex and a common side between them. If they do not have a common side, then they would not be classified as adjacent angles.
Give an example of two adjacent angles that are not adjacent to any other angle.
In a square, the two adjacent angles formed by the intersection of one of the diagonals with a side of the square are not adjacent to any other angle.
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