Module 1 Topic 1 Test Review

Lena drew a triangle with coordinates (2, 4), (5, 1), and (3, 2). She drew an image of the triangle with coordinates (−2, 4), (−5, 1), and (−3, 2).

Which rule describes the transformation?

• ( x , y ) → ( - x , y )

• ( x , y ) → ( x , -y )

• ( x , y ) → ( x - 2 , y )

• ( x , y ) → ( x , y - 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Sophia draws a rectangle on a coordinate plane. Then she draws an image of the rectangle 4 units down from the original rectangle.

Which statements are true?

• The image and the original rectangle are congruent.

• The orientation of the rectangle changes.

• Each point of the rectangle has the same y-coordinate as the original figure.

• Each point of the rectangle is 4 units lower than the corresponding point on the original figure.

Tags

CCSS.HSG.CO.A.2

Which rule best describe the transformation used to create ΔXYZ from ΔHWF?

• ( x , y ) → ( - x , y )

• ( x , y ) → ( x + 11 , y - 8 )

• ( x , y ) → ( - y , x )

• ( x , y ) → ( x - 11 , y + 8 )

Tags

CCSS.HSG.CO.A.2

Triangle XYZ is translated 6 units left and 2 units up. Write a rule that describes this transformation.

Enter your answer in the box provided.

( x , y ) →( ​ (a)   , ​ (b)   )

• x - 6
• y + 2
• x + 6
• y - 2

Tags

CCSS.HSG.CO.A.2

A transformation is applied to a figure to create a new figure on the coordinate grid. Which type(s) of transformation preserve(s) congruence? Explain your reasoning.

Choose the correct answer from each drop-down to complete the statement.

​ ​ (a)   are all types of transformations that preserve congruence. When you ​ ​ (b)   a figure, a congruent figure is created. Between the pre-image and image, the corresponding angle measures are ​ ​ (c)   and the corresponding sides lengths are ​ (d)   .

• Translations, reflections, and rotations
• Translations and reflectinos
• Translation, reflections, and dilations
• slide, flip, or spin
• slide or flip
• slide, flipe, spin, enlarge/reduce in scale
• equal
• proportional

Tags

CCSS.HSG.CO.A.2

Triangle ABC is translated 5 units down and 4 units right to form triangle A'B'C'. Which statement is true?

• Each side length of triangle ABC is 2 times the corresponding side length of triangle A'B'C'.

• The sum of the angle measures of triangle ABC is greater than the sum of the angle measures of triangle A'B'C'.

• Each side length of triangle ABC is ½ times the corresponding side length of triangle A'B'C'.

• Triangle ABC is congruent to triangle A'B'C'.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Consider the triangle.

Write the algebraic rule to describe the transformation if the Triangle is reflected over the x-axis.

Enter your answer in the boxes provided.

( x , y ) → ( ​ (a)   , ​ (b)   )

• x
• - y
• - x
• y

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Consider ΔXYZ and ΔMFP. The triangles are congruent.

Describe the transformation and write the algebraic rule used to create ΔXYZ and ΔMFP.

Move the correct answer to each box. Not all answers will be used.

Triangle XYZ is rotated ​ (a)   degrees about the origin to create Triangle MFP using ( x , y ) → ( ​ (b)   , ​ (c)   ).

• 180
• -x
• -y
• 90
• 270
• 360
• x
• y

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Consider ΔABC.

When you translate ΔABC 5 units left and 6 units up to form ΔDEF, what would be the ordered pairs of the corresponding vertices? Write the algebraic rule for the transformation.

Enter your answers in the boxes provided.

The algebraic rule is

( x , y ) →( ​ (a)   , ​ (b)   )

• x-5
• y+6
• x-6
• y-5

Tags

CCSS.HSG.CO.A.2

Consider ΔABC.

When you translate ΔABC 5 units left and 6 units up to form ΔDEF, what would be the ordered pairs of the corresponding vertices? Write the algebraic rule for the transformation.

Enter your answers in the boxes provided.

The Coordinates are:

D ( ​ ​ (a)   , ​ (b)   )

E (​ (c)   , ​ (d)   )

F ( -2 , -3 )

• -8
• 2
• 0
• 1

Tags

CCSS.HSG.CO.A.2