Question
Use the image to answer the question.
A triangle is marked clockwise from the lower left vertex as upper A upper B upper C. Point upper D is marked at the midpoint of side upper A upper B. Point upper F is marked at the midpoint of side upper A upper C.
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.
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 base angles of an isosceles triangle are congruent.
The base angles of an isosceles triangle are congruent.
The sum of the interior angles of a triangle equals 180°.
A triangle is marked clockwise from the lower left vertex as upper A upper B upper C. Point upper D is marked at the midpoint of side upper A upper B. Point upper F is marked at the midpoint of side upper A upper C.
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.
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 base angles of an isosceles triangle are congruent.
The base angles of an isosceles triangle are congruent.
The sum of the interior angles of a triangle equals 180°.
Answers
Answered by
GPT-4o mini
The statement that could be proved with the help of the figure is:
"A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length."
This is known as the Midsegment Theorem, and it directly relates to the midpoints D and F that are indicated in the triangle ABC.
"A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length."
This is known as the Midsegment Theorem, and it directly relates to the midpoints D and F that are indicated in the triangle ABC.
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