Chapter 4: Q2 (page 123)
For the following figure, does the SAS postulates justify that the two triangles are congruent.

Short Answer
The triangles are congruent by SAS postulates.
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Chapter 4: Q2 (page 123)
For the following figure, does the SAS postulates justify that the two triangles are congruent.

The triangles are congruent by SAS postulates.
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Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a two-column proof.
In an isosceles triangle, if a segment is drawn from the vertex of the angle between the congruent sides to the midpoint of the opposite side, then congruent triangles are formed.
Write proofs in two-column form. Use the facts that the sides of a square are all congruent and that the angles of a square are all right angles.
The diagram shows three squares and an equilateral triangle.
Prove:

For exercises 16-19 draw and label a diagram. List in terms of the diagram, what is given and what is to be proved. Then write a two column proof.
In two congruent triangles, if segments are drawn from two corresponding vertices perpendicular to the opposite sides, then those segments are congruent.
Prove that the medians drawn to the legs of an isosceles triangle are congruent. Write the proof in two-column form.
Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a two-column proof.
25. If pentagonv is equilateral and has right angles at and , then diagonals and form congruent triangles.
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