Line segment JL is an altitude in triangle JKM.

Which statements are correct? Select three options.



Triangle A B C is cut by line segment F G. Line segment F G goes from side A B to side A C. The length of B F is x + 6, the length of F A is x + 1, the length of C G is x + 3, and the length of G A is x minus 1.

Which statements are true? Select two options.
Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2.25.
Point P partitions the directed segment from A to B into a 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?


Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle.

Which best explains whether or not all isosceles triangles are similar?
Points Q and R are midpoints of the sides of triangle ABC.

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?

On a coordinate plane, a line is drawn from point K to point J. Point K is at (9, 2) and point J is at (1, negative 10).

Triangle ABC will be dilated according to the rule(x,y), where point F is the center of dilation.

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem.Which mathematical statement is missing?



Triangle MRN is created when an equilateral triangle is folded in half.



Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.

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