Triangle MNO is dilated by a scale factor of 7 to create triangle M'N'O'.
8The area of triangle MNO is x square units.
What is the area in square units of triangle M'N'O'?
Responses
A
7 x square units
87 x square units 8
B
( 7 )2x square units
8( 7 ) 2 x square units 8
C
( 1 )2x square units
8( 1 ) 2 x square units 8
D
8 x square units
7
The area of triangle M'N'O' is 49x square units.
This is because when a figure is dilated by a scale factor of 7, the area is scaled by the square of the scale factor. In this case, the scale factor is 7, so the area is scaled by 7^2, which is 49. Multiplying 49 by x gives the area of triangle M'N'O'.
Therefore, the correct answer is B. (7)^2x square units.
Pentagon NPQRS is transformed according to the rule (x, y) →.(x + 5, y + 3) to create pentagon N'P'Q'R'S'.
Which statement is NOT true?
Responses
A The area of pentagon N'P'Q'R'S' is greater than the area of pentagon NPQRS.The area of pentagon N'P'Q'R'S' is greater than the area of pentagon NPQRS .
B Pentagon NPQRS is congruent to pentagon N'P'Q'R'S'.Pentagon NPQRS is congruent to pentagon N'P'Q'R'S' .
C The sum of the angle measures of pentagon N'P'Q'R'S' is equal to the sum of the angle measures of pentagon NPQRS.The sum of the angle measures of pentagon N'P'Q'R'S' is equal to the sum of the angle measures of pentagon NPQRS .
D Each side length of pentagon N'P'Q'R'S' is equal to the corresponding side length of pentagon NPQRS.Each side length of pentagon N 'P'Q'R'S' is equal to the corresponding side length of pentagon NPQRS .
D Each side length of pentagon N'P'Q'R'S' is equal to the corresponding side length of pentagon NPQRS.
This statement is not true because the given transformation (x, y) → (x + 5, y + 3) shifts each point of the original pentagon 5 units to the right and 3 units up. This means that each side length of the transformed pentagon N'P'Q'R'S' will be greater than the corresponding side length of the original pentagon NPQRS.