Solving Linear Equations: Variable on One Side — Unit test Answers

Triangle ABC is rotated to create the image A'B'C'.

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).

Triangle PQR has vertices , , and . It is translated according to the rule .What is the y-value of ?

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).

On a coordinate plane, a square and a point are shown. The square has points R prime (negative 8, 1), S prime (negative 4, 1), T prime (negative 4, negative 3), and U prime (negative 8, negative 3). Point S is at (3, negative 5).

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant.

The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'.

Right triangle LMN has vertices L(7, –3), M(7, –8), andN(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

The function rule T–4, 6(x, y) could be used to describe which translation?

A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(–4, 4), S'(–4, 1), P'(–3, 1), and Q'(–3, 4). What is the location of Q?

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?

Quadrilateral ABCD is transformed according to the rule (x, y) → (y, –x). Which is another way to state the transformation?

Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?

On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).

On a coordinate plane, a triangle has points A prime (1, 2), B prime (3, negative 3), C prime (negative 1, negative 3).

On a coordinate plane, 2 triangles are shown. The first triangle has points M (negative 5, 4), N (negative 2, 3), and L (negative 4, 2). The second triangle has points L prime (negative 4, negative 2), M prime (negative 5, negative 4), and N prime (negative 2, negative 3).

Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?

Which transformations could have taken place? Select two options.