Ordered Pairs Review

Module One Post Assessment Review

Today we will review for your next post assessment.

Lesson One - Translations

We can SLIDE left and right

and we can SLIDE up and down

*If you slide left, make sure you subtract from x.

*If you slide right, make sure you add to x.

*If you slide down, make sure you subtract from y.

*If you slide up, make sure you add to y.

Multiple Choice

Describe the translation:

(x, y)--> (x - 4, y + 1)

• right 4 up 1

• left 4 up 1

• right 4 down 1

• left 4 down 1

Multiple Select

Quadrilateral P’Q’R’S’ is the result of translating quadrilateral PQRS two units left and nine units up. Which statement(s) are accurate about quadrilateral P’Q’R’S’?

PS: Two statements are TRUE :)

• P'Q'R'S' is a result of a dilation of -2 and then a dilation of 9.

• P'Q'R'S' is a result of this rule: (x - 2, y + 9)

• P'Q'R'S' has CONGRUENT angles and has a SIMILAR shape to PQRS.

• The measure of angle P' is twice that of angle P.

Multiple Choice

Which rule would be used to translate a pre-image four units up and three units left?

• (x - 3, y - 4)

• (x - 3, y + 4)

• (x + 3, y - 4)

• (x + 3, y + 4)

Multiple Choice

Quadrilateral PQRS is plotted in the coordinate plane. R is located at (-1, 6). It is transformed and the new ordered pairs for R’ is (3,-2). Which set of transformations took place to Quadrilateral PQRS to get the ordered pair for R’?

• translated right 4 and up 8

• translated left 4 and up 8

• translated left 4 and down 8

• translated right 4 and down 8

Lesson Two - Reflections

Let's review two different cases.

Reflections Across the Y-Axis

(x, y) = (-x, y)

Multiple Choice

Triangle JKL is pictured in the coordinate plane with ordered pairs at J(2, 1), K(3, 5), and L(5, -1). The triangle is reflected over the y-axis

What are the coordinates of K' in the transformed image?

• K'(-3, 5)

• K'(-3, -5)

• K'(3, -5)

• K'(3, 5)

Reflections Across the X-Axis

(x, y) = (x, -y)

Multiple Choice

Triangle FGH is plotted in the coordinate plane with F(-2, -3), G(-5, 5), and H(-1, 5). Triangle FGH is reflected over the x-axis.

What is the ordered pair for F' after the reflection?

• F'(2, -3)

• F'(2, 3)

• F'(-2, -3)

• F'(-2, 3)

Lesson 3 - Rotations

Rotations 90, 180, and 270 Degrees

Make sure you can number the four quadrants

(they number counter-clockwise)

90 Degrees Clockwise

• This is a one-quadrant move

• This is the same as a 270 Degree Counter Clockwise Rotation

Multiple Choice

Triangle ABC has vertices A(1,4), B (-3,5) and C(-2, 4) and is rotated 90 degrees clockwise about the origin. What are the coordinates of B’?

• (-3, 5)

• (-5, 3)

• (5, 3)

• (-5, -3)

90 Degrees Counter Clockwise

• This is a one-quadrant move

• This is the same as a 270 Degree Clockwise Rotation

Multiple Choice

Triangle PQR is plotted in the coordinate plane with ordered pairs P(-5, 1), Q(-3, 1), and R(-3, -3). The quadrilateral is rotated 90 degrees counter clockwise. What are the coordinates of P’?

• (1, -5)

• (5, 1)

• (-1, 5)

• (-1, -5)

180 Degrees Rotation

• This is a two-quadrant move

• Just take the opposite of the x-value and the opposite of the y-value.

• Example: (5, 6) ==> (-5, -6)

Multiple Choice

Quadrilateral PQRS is plotted in the coordinate plane with ordered pairs P(-5, 1), Q(-3, 1), R(-3, -3), and S(-5, -1). The quadrilateral is rotated 180 degrees clockwise. What are the coordinates of R’?

• R'(-3, -3)

• R'(3, 3)

• R'(-3, 3)

• R'(3, -3)

Lesson Four - Dilations

Dilations ENLARGE or SHRINK based on a scale factor

Multiple Choice

Quadrilateral PQRS is plotted in the coordinate plane with P(-5, 1), Q(-3, 1), R(-3, -3), and S(-6, -4). The quadrilateral is dilated by a scale factor of 1/2. What is the new ordered pair for S' after the dilation?

• (-1.5, -1)

• (-3, -2)

• (-6, -4)

• (-12, -8)

Multiple Choice

Quadrilateral PQRS is plotted in the coordinate plane with ordered pairs, P(-1, 1), Q(-1, -1), R(1, -1), and S(1, 1). The quadrilateral is dilated with a scale factor of 3. What is the perimeter of the dilated quadrilateral?

• 4 units

• 8 units

• 16 units

• 24 units

Multiple Select

Triangle FGH is plotted in the coordinate plane with F(-2, -3), G(-5, 5), and H(-1, 5). If the triangle is dilated with a scale factor of 3, which of the following statements are true about dilated triangle F'G'H'.

(There could be more than one true statement.)

• Both triangles are CONGRUENT in side lengths and angle measures.

• The perimeter of F'G"H' is three times the perimeter of FGH.

• The triangles are SIMILAR.

• Angle measures remain congruent after the dilation

Lesson Five - Composition of Transformations

What if we have more than one transformation?

Multiple Choice

The point (-4,5) is reflected over the x-axis and translated up four units. What is the ordered pair for the transformed point after both transformations?

• (-4, -1)

• (-4, -5)

• (4, 5)

• (4, 9)

Multiple Choice

Triangle PQR has vertices at the points P(-4,5), Q(-1,2) and R(-7,4). The triangle is rotated 90 degree clockwise and up three units. What are the coordinates for P’?

• (5, -1)

• (5, 4)

• (5, 7)

• (5, -7)

Multiple Choice

The area of a rectangle is 64 cm². The rectangle is rotated 90 degree counterclockwise and up three units. What is the new area of the rectangle?

• 8 cm²

• 16 cm²

• 32 cm²

• 64 cm²

Multiple Choice

Quadrilateral PQRS is plotted in the coordinate plane with ordered pairs P(-5, 1), Q(-3, 1), R(-3, -3), and S(-5, -1). The quadrilateral is rotated 180 degrees clockwise and down two units. What are the coordinates of R’?

• (-3, 1)

• (-3, 3)

• (3, 3)

• (3, 1)

Way to go, everyone!

Good luck on tomorrow's post assessment.