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Geometry - 1.3-1.5 Review
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Terms in this set (17)
Define the measure of an angle.
amount of rotation, usually measured in units of degrees, needed to rotate one ray of the angle about its shared starting point to lie on top of the other ray (between 0º and 360º)
What is an acute angle?
less than 90º and more than 0º
What is an obtuse angle?
more than 90º and less than 180º
What is a right angle?
exactly
90º
- one quarter of a full rotation
What is a straight angle?
exactly
180º
- one-half of a full rotation
What is a reflex angle?
greater than 180º and less than 360º
If ∠BAM is a right angle and m∠BAM = 4x + 22, solve for the value of x.
x = 17
What are vertical angles?
angles that are across from each other when 2 lines intersect - vertical angles are
always the same
What are complementary angles?
two angles with a sum of 90º
- when placed adjacent to each other (so they share a common ray) they would form a right angle
What are supplementary angles?
two angles with a sum of 180º
- when placed adjacent to each other (so they share a common ray) they would form a straight angle
It is given that ∠A and ∠B are both complementary. If the measure of ∠B is 15 more than twice the measure of ∠A, determine the measure of both angles algebraically.
m∠A = 25º
m∠B = 65º
Define radius.
half of the diameter
What does equidistant mean?
all points are the same distance from another point
Define a circle.
set of all points equidistant to one point (center) in 2D space
What is triangle notation?
The measure of two supplementary angles, ∠S and ∠T, are in the ratio of 7:3. Find the value of m∠S.
m∠S = 126º
If ∠TAP and ∠BRE are supplementary, and ∠BRE is its own complement. find the measure of ∠TAP.
m∠TAP = 135º
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