The figure shows triangle ABC with medians A F, BD, and CE. Segment A F is extended to H in such a way that segment GH is congruent to segment AG.

Triangle ABC with medians CE, A F, and BD. Median A F is extended to point H. A segment joins points B and H and another segment

Which conclusion can be made based on the given conditions? (1 point)


Segment GF is congruent to segment EG.

Segment GF is half the length of segment EB.

Segment GD is congruent to segment EG.

Segment GD is half the length of segment HC.
7.
(03.04 LC)
The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC:

A quadrilateral ABCD is shown with the two pairs of opposite sides AD and BC and AB and DC marked parallel . The diagonal are l

A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent:

For triangles ABD and CDB, alternate interior angles ABD and CDB are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by _______________. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC.

Which phrase best completes the student's proof? (1 point)


asociative property

reflexive property

substitution property

transitive property