1. True. Complementary angles are two angles that add up to 90 degrees. Since an acute angle is any angle less than 90 degrees, both ∠𝑋 and ∠𝑌 must be acute for their sum to be 90 degrees.

2. True. By definition, a midpoint divides a line segment into two equal parts. Therefore, if 𝑇 is the midpoint of 𝐴𝐵, then 𝐴𝑇 is congruent to 𝑇𝐵.

3. False. Points 𝑊, 𝑋, and 𝑌 being on the same plane does not necessarily mean they are collinear. Collinear means that the points lie on the same line. For example, points could form a triangle and still be on the same plane but not be collinear.

4. True. Supplementary angles are two angles that add up to 180 degrees. A linear pair is a pair of adjacent angles formed when two lines intersect. The angles of a linear pair are always supplementary, so if ∠1 and ∠2 are supplementary, they form a linear pair.

Question

1. True. Complementary angles are two angles that add up to 90 degrees. Since an acute angle is any angle less than 90 degrees, both ∠𝑋 and ∠𝑌 must be acute for their sum to be 90 degrees.

2. True. By definition, a midpoint divides a line segment into two equal parts. Therefore, if 𝑇 is the midpoint of 𝐴𝐵, then 𝐴𝑇 is congruent to 𝑇𝐵.

3. False. Points 𝑊, 𝑋, and 𝑌 being on the same plane does not necessarily mean they are collinear. Collinear means that the points lie on the same line. For example, points could form a triangle and still be on the same plane but not be collinear.

4. True. Supplementary angles are two angles that add up to 180 degrees. A linear pair is a pair of adjacent angles formed when two lines intersect. The angles of a linear pair are always supplementary, so if ∠1 and ∠2 are supplementary, they form a linear pair.

Knowee AI · Accepted Answer

1. True. Complementary angles are two angles that add up to 90 degrees. Since an acute angle is any angle less than 90 degrees, both ∠𝑋 and ∠𝑌 must be acute for their sum to be 90 degrees.

2. True. By definition, a midpoint divides a line segment into two equal parts. Therefore, if 𝑇 is the midpoint of 𝐴𝐵, then 𝐴𝑇 is congruent to 𝑇𝐵.

3. False. Points 𝑊, 𝑋, and 𝑌 being on the same plane does not necessarily mean they are collinear. Collinear means that the points lie on the same line. For example, points could form a triangle and still be on the same plane but not be collinear.

4. True. Supplementary angles are two angles that add up to 180 degrees. A linear pair is a pair of adjacent angles formed when two lines intersect. The angles of a linear pair are always supplementary, so if ∠1 and ∠2 are supplementary, they form a linear pair.

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