Given the diagram at the right, which of the following must be true? The figure shows two triangles with a common vertex formed at the intersection of two line segments.

Question

A horizontal segment has a left endpoint of S and a right endpoint of G. Point X is between S and G on the segment. The segment between X and S is marked with 2 dashes. The segment between X and G is marked with 2 dashes.

A diagonal line segment has an upper left endpoint at F and lower right endpoint at T. The segment intersects segment S G at point X. The segment between F and X is marked with one dash. The segment between X and T is marked with 1 dash.

A vertical segment on the left connects F and S and is marked perpendicular to S G at S. Another vertical segment on the right connects T and G and is marked perpendicular to S G at G. Segment F S is marked with 3 dashes. Segment T G is marked with three dashes.

(1 point)
Responses

triangle Upper X Upper S Upper F congruent to triangle Upper X Upper T Upper G
Image with alt text: triangle Upper X Upper S Upper F congruent to triangle Upper X Upper T Upper G

triangle Upper S Upper X Upper F congruent to triangle Upper G Upper X Upper T
Image with alt text: triangle Upper S Upper X Upper F congruent to triangle Upper G Upper X Upper T

triangle Upper F Upper X Upper S congruent to triangle Upper X Upper G Upper T
Image with alt text: triangle Upper F Upper X Upper S congruent to triangle Upper X Upper G Upper T

triangle Upper F Upper X Upper S congruent to triangle Upper G Upper X Upper T

Answer 1

Based on the given information, the correct answer is:

triangle Upper F Upper X Upper S congruent to triangle Upper G Upper X Upper T