Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7.




Which best explains whether or not all isosceles triangles are similar?
Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2.25.
Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Triangle QRS is to be dilated using the rule .

Line segment JL is an altitude in triangle JKM.

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.

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?



To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .





Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.



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.

△ABC is an isosceles triangle with legs AB and AC. △AYX is also an isosceles triangle with legs AY and AX.

Which statements are true? Select two options.
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.

Line segment JL is an altitude in triangle JKM.

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.

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.

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