To draw: and label a diagram, and to prove the given statement.
Explanation of Solution
Given information:
Given statement:
In an isosceles triangle, if a segment is drawn from the vertex of the angle between the congruent sides to the mispoint of the opposite side, then congruent
Calculation:
SSS Postulate: if there sides of triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent.
SAS Postulate: If two sides and the angle included between them of triangle are equal to the two corresponding sides and the angle included between them of another triangle, then the triangles are congruent.
ASA Postulate: If two
Given:
An isosceles triangle
Prove:
Proof:
Statements | Reasons |
1. is the midpoint of | Given |
2. | Definition of midpoint |
3. | Given |
4. | Reflexive property |
5. | SAS Postulate |
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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