Translating Triangles on the Coordinate Plane

Given: Triangle ABC with vertices A(-3,5), B(-2,2), and C(-4,2)

Given: Triangle A'B'C' with vertices A'(3,1), B'(4,-2), and C'(2,-2).

Write the rule to map Triangle ABC onto Triangle A'B'C'

Tags

CCSS.HSG.CO.A.2

A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?

• (x, y) → (x + 3, y – 4)

• (x, y) → (x + 3, y + 4)

• (x, y) → (x + 4, y – 3)

• (x, y) → (x + 4, y + 3)

Tags

CCSS.HSG.CO.A.2

Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of

(x, y) → (x + 5, y – 3)?

• 1

• 2

• 3

• 4

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle QRS has vertices Q (8, –6), R(10, 5), and S(–3, 3). What are the coordinates of the vertices of the image of the triangle after a translation of

T_{–7.6, 4.3}(x, y)?

• Q’= (0.4 ,- 1.7)

  R’= (2.4,9.3)

  S’= (-10.6,7.3)

• Q’= (1.4 ,1.7)

  R’= (3,9)

  S’= (-10,7.3)

• Q’= (0.4 ,- 1.7)

  R’= (2.1,7.2)

  S’= (-10.6,7.3)

• Q’= (0.4 ,- 1.7)

  R’= (2.4,9.3)

  S’= (1.4,1.7)

Tags

CCSS.HSG.CO.A.2

A graphic designer wants to translate rectangle DEFG using T_{–1, 2}(x, y). The pre-image has coordinates D(–1, 3), E(4, 3), F(4, 1), and G(–1, 1). What is the image of DEFG?

• a)

• b)

• c)

• d)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Li transformed rectangle ABCD. The image is shown. Does Li’s transformation represent a translation?

• Yes, the image represents a translation.

• No, the image does not have the same size.

• No, the image does not have the same orientation.

• a) No, the image does not have the same shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The image of trapezoid ABCD has coordinates

A′(–2, –5), B′(–1, –2), C′(2, –2), and D′(3, –5). It was translated by the rule T_{–1, –3}(x, y). Which diagram shows the pre-image?

• A

• B

• C

• D

Tags

CCSS.HSG.CO.A.2

Triange ABC is translated to image A’B’C’. In this translation, A(5,1) maps to A’(6,-2). The coordinates of B’ are (-1,0). What are the coordinates of B?

• B( 2 , -3)

• B( -2 , -3)

• B( 2, 3)

• B(-2 , 3 )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.

• The rule for the translation can be written as T_{–5, 3}(x, y).

• The rule for the translation can be written as T_{3, –5}(x, y).

• The rule for the translation can be written as (x, y)→(x + 3,y – 3).

• The rule for the translation can be written as

  (x, y) → (x – 3, y – 3).

• Triangle ABC has been translated 3 units to the right and 5 units down.

Tags

CCSS.HSG.CO.A.2

Trapezoid L'M'N'P' was constructed using trapezoid LMNP.

For the transformation to be a translation, which statements must be true? Select four options.

• LL'=PP'

• LL'=MM'

• Trapezoid LMNP is congruent to trapezoid L'M'N'P'.

• NN'=1/2 PP'

• All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

Tags

CCSS.HSG.CO.A.2