In the drawing,
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Elementary Geometry for College Students
- The point mid ay between (a, b) and (c, d) _____________. So the point midway between (1, 2) and (7, 10) is ___________.arrow_forwarda 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?arrow_forwardWhich part hypothesis or conclusion of a theorem determines the a Drawing? b Given? c Prove?arrow_forward
- What is the general name of the point of concurrence for the three altitudes of a triangle?arrow_forwarda If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.arrow_forwardWhich type of path straight, curved, circular or scattered is determined by: a pepper sprinkled on a steak? b a Ferris wheel? c a rule? d the path of a snake?arrow_forward
- Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.arrow_forwarda Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.arrow_forwardIn ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x.arrow_forward
- Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle. Exercises 34. 35arrow_forwardDoes the relation is complementary to for angles have a reflexive property consider one angle? A symmetric property consider two angles? A transitive property consider three angles?arrow_forwardWhich type of path straight, curved, circular, or scattered is determined by: a a roller coaster? b a pencil? c a carousel? d darts thrown at a dartboard?arrow_forward
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