Congruent Triangles Activity

If the statement is always true, write true; if the statement is not always true, write false.

· If two angles are supplementary to the same angle, they are supplementary to each other.

• True

• False

If the statement is always true, write true; if the statement is not always true, write false.

· If two quantities are equal to the same quantity, they are equal to each other.

• True

• False

If the statement is always true, write true; if the statement is not always true, write false.

· If two angles are complementary, they are congruent.

• True

• False

If the statement is always true, write true; if the statement is not always true, write false.

· If two adjacent angles are supplementary, their non-common sides lie on a straight line.

• True

• False

If the statement is always true, write true; if the statement is not always true, write false.

· If line AB is the perpendicular bisector of line segment CD, then line AB must pass through the midpoint of line segment CD.

• True

• False

Choose the triangles can be proved congruent.(Pairs of line segments marked with the same number of strokes are congruent. Pairs of angles marked with the same number of arcs are congruent. A line segment or an angle marked with X is congruent to itself by the reflexive property of congruence.)

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Tell whether or not the triangles can be proved congruent by the a.s.a @ a.s.a. postulate, using only the marked congruent parts in establishing the congruence.

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Tell whether or not the triangles can be proved congruent using only the marked congruent parts in establishing the congruence.

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If the statement is always true, write true; if the statement is not always true, write false.

· Two triangles are congruent if they have two angles and the included side of one triangle congruent to the corresponding parts of the other.

• True

• False

If the statement is always true, write true; if the statement is not always true, write false.

· The point of intersection of the bisectors of the base angles of an isosceles triangle and the ends of the base of the isosceles triangle are the vertices of another isosceles triangle.

• True

• False