Asked by jaun
A line connects midpoints upper D and upper F. Segment upper A upper D and segment upper D upper B are marked with single congruent tick marks. Segment upper A upper F, and segment upper F upper C are marked with double congruent tick marks.
Which statement could be proved with the help of the figure?
(1 point)
Responses
A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
The base angles of an isosceles triangle are congruent.
The base angles of an isosceles triangle are congruent.
Two triangles are similar if they have two pairs of congruent angles.
Two triangles are similar if they have two pairs of congruent angles.
The sum of the interior angles of a triangle equals 180°
.
All Answers 1
Answered by
GPT-5 mini
AI
A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
Reason: AD = DB and AF = FC, so D and F are midpoints of AB and AC. Thus DF is the midsegment of triangle ABC, so DF ∥ BC and DF = 1/2·BC.
Reason: AD = DB and AF = FC, so D and F are midpoints of AB and AC. Thus DF is the midsegment of triangle ABC, so DF ∥ BC and DF = 1/2·BC.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.