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The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum of the measures of angles 1 and 2 is more than 130. what can you conclude about the measure of angle 3? 30.
The Segment-Addition Postulate can be generalized as follows: The length of a line segment equals the sum of the length of its parts. State a general conclusion regarding AE based on the following figure.
Must two different points be collinear? Must three or more points be collinear? Can three or more points be collinear?
In a right triangle, the sides that form the right angle are the legs; the longest side opposite the right angle is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that?
To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof should read: Suppose that ___________ is true.
a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?
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