Answers
Set 7
- c. If a vertex is shared by more than one angle, then it cannot be
used to name any of the angles. - b.∠CED describes an angle whose vertex is •E, not •D.
- a. If a vertex is shared by more than one angle, then the letter
describing the vertex cannot be used to name any of the angles. It
would be too confusing. - d.If a vertex is shared by more than one angle, then the letter
describing the vertex cannot be used to name any of the angles. It
would be too confusing.
Set 8
- False.Two small acute angles do not have to have a sum greater
than 90°. For example, 10° + 20° = 30°, which is still acute. - Always.Since a straight angle equals 180°, and an obtuse angle is
between 90° and 180°, the difference of a straight angle and an
obtuse angle will always be between 0° and 90°. - Always.A right angle is 90° and an acute angle is greater than
0°and less than 90°. Therefore, the sum of a right angle and an
acute angle will always be greater than 90° but less than 180°. - Sometimes. An obtuse angle that measures 95° minus an acute
angle that measures 20° will result in an angle that measures 75°
and is acute. However, the same obtuse angle that measures 95°
minus an acute angle that measures 4° will result in an angle that
measures 91° and is obtuse. Lastly, the same obtuse angle that
measures 95° minus an acute angle that measures 5° will result in
an angle that measures 90° and is a right angle.
501 Geometry Questions