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Question
Triangle EFG is rotated 90° clockwise about the origin to create triangle E'F'G'.
Which statement is NOT true?
Responses
A If (x, y) represents the coordinates of a vertex of triangle EFG, then (–x, –y) represents the coordinates of the corresponding vertex of triangle E'F'G'.If ( x , y ) represents the coordinates of a vertex of triangle EFG , then (– x , – y ) represents the coordinates of the corresponding vertex of triangle E'F'G'.
B If (x, y) represents the coordinates of a vertex of triangle EFG, then (y, –x) represents the coordinates of the corresponding vertex of triangle E'F'G'.If ( x , y ) represents the coordinates of a vertex of triangle EFG , then ( y, – x ) represents the coordinates of the corresponding vertex of triangle E'F'G'.
C Triangle E'F'G' is congruent to triangle EFG.Triangle E'F'G' is congruent to triangle EFG .
D The angle measures of triangle E'F'G' are equal to the corresponding angle measures of triangle EFG.
C Triangle E'F'G' is congruent to triangle EFG.
its wrong
Apologies for the incorrect response. The correct answer is option D: The angle measures of triangle E'F'G' are equal to the corresponding angle measures of triangle EFG. This statement is not true because when a figure is rotated, the angles change.
What is the value of DE if AB = 6, AD = 8, and BC = 3?
Responses
A 3.53.5
B 44
C 4.54.5
D 5
To find the value of DE, we can use the Pythagorean theorem.
In right triangle ADE, we have:
AD^2 + DE^2 = AE^2
Given that AD = 8, AE = AB - BE = 6 - BC = 6 - 3 = 3, we can substitute these values into the equation:
8^2 + DE^2 = 3^2
64 + DE^2 = 9
DE^2 = 9 - 64
DE^2 = -55
Since the square root of a negative number is not a real number, it is not possible to find the exact value of DE. Therefore, the answer is not provided among the options given.