Polygon Transformations and Congruent Figures

Which statement is TRUE?

• corresponding parts of congruent figures do not have the same measurements

• only corresponding angle measures of congruent figures are the same

• only corresponding side lengths of congruent figures are the same

• corresponding parts of congruent figures have the same measurements

Point G is located at (-5, -3).

What are the coordinates if it is reflected over the y-axis, then translated down 4?

• G' (-5, -1)

• G' (5, 1)

• G' (5, -7)

• G' (-5, -7)

Are the figures congruent?

They​ (a)   congruent because figure​ (b)   can be rotated and reflected to get to figure​ (c)   ​ .​

• are

• are not

• EDCGF

• CGEDF

• JIHLK

• HIJKL

Sort the statements about the figures into the correct category.

Groups:

(a) true

,

(b) false

• figure 2 is a rotation of figure 1

• figure 2 is a translation of figure 1

• each triangle in figure 1 has a congruent triangle in figure 2

• the largest triangle in figure 1 is congruent to the largest triangle in figure 2

• the two figures are congruent

Match the corresponding parts.

• angle S

• angle M

• angle P

• side NO

• side PR

• side LM

• side QS

• angle N

What is the scale factor of the dilation?

• 5/2

• 3/2

• 7/2

• 2/3

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right

Quadrilateral PRST is transformed according to the rule (x, y) → (x + 9, y + 4) to create quadrilateral P′R′S′T′. Which statement is true?

• The side lengths of quadrilateral P′R′S′T′ are twice the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P′R′S′T′ are equal to the corresponding angle measures of quadrilateral PRST.

• The side lengths of quadrilateral P′R′S′T′ are 9 units longer than the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P′R′S′T′ are greater than the corresponding angle measures of quadrilateral PRST.

Figure I and Figure II are similar figures. Which proportion must be true?

• 
• 
• 
• 

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)