Concept explainers
a.
To prove : That
a.
Explanation of Solution
Given information : Consider a scalene
Formula used : The SAS postulate states that for two triangles to be congruent two sides and included angle of one triangle should be congruent to two sides and included angle of another triangle.
Corresponding parts of congruent triangles are congruent.
Proof : Consider
Given that
Corresponding parts of congruent triangles are congruent so
Given that
Corresponding parts of congruent triangles are congruent so
From
b.
To prove : That
b.
Explanation of Solution
Given information : Consider a scalene
Formula used : If a pair of alternate interior angles iscongruent then two lines are parallel.
Proof : From the SAS postulate it was concluded that
Since corresponding parts of congruent triangles are congruent,
Hence
c.
To prove : The points
c.
Explanation of Solution
Given information : Consider a scalene
Formula used : Three points
If two lines are parallel to the same line then they are parallel to each other.
Proof : Since
Now,two lines parallel to the same line are also parallel to each other
Thus two lines
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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