1} What series of transformations would carry the rectangle onto itself?
Rectangle is shown with vertices at negative 5 comma 1, negative 5 comma 3, negative 1 comma 3, and negative 1 comma 1.
A) (x + 0, y − 4), 180° rotation, reflection over the y-axis
B) (x + 0, y − 4), 180° rotation, reflection over the x‐axis
C) (x − 4, y + 0), 90° counterclockwise rotation, reflection over the x‐axis
D) (x − 4, y + 0), 90° counterclockwise rotation, reflection over the y-axis


2} If triangle ABC is congruent to triangle DEF, which would be the coordinate of F?
Triangle ABC is shown. For triangle ABC, A is at 1, 0, B is at negative 1, 2, C is at 2, 3. Two other coordinates are shown. D is at negative 1, 0, E is at 1, 2.
A) (−2, 4)
B) (−2, 3)
C) (−3, 3)
D) (−3, 4)


3} Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at (−4, 2) and the image of D' is at (−2, 1).
polygon ABCDE is on a coordinate plane with point A at 2, 4 and point B at 4, 3 and point C at 3, 2 and point D at 1, 2 and point E at 0, 3
Which transformation can be used to show that ABCDE and its image are congruent?
A) Rotate ABCDE 90° counterclockwise.
B) Translate ABCDE left 4 units and down 2 units.
C) Reflect ABCDE over the y-axis.
D) Rotate ABCDE 90° clockwise.

4} If triangle ABC is congruent to triangle DEF, which statement is not true?
A) segment AB ≅ segment DE
B) ∠C ≅ ∠E
C) segment BC ≅ segment EF
D) ∠A ≅ ∠D


5} Triangle DEF is rotated 90° clockwise about the origin. The image of this transformation is triangle LMN, as shown in the figure.
Triangle DEF and triangle LMN with ordered pairs at D negative 1 comma 6, at E 1 comma 3, at F 6 comma 3, at L 6 comma 1, at M 3 comma negative 1, at N 3 comma negative 6.
Which statement is true?
A) Segment DE is congruent to segment MN.
B) Segment EF is congruent to segment MN.
C) ∠D ≅ ∠M
D) ∠F ≅ ∠L

6} What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA?
Triangle ABC and triangle DEF are drawn with angles B and E marked congruent and angles C and F marked congruent.
A) segment AB ≅ segment ED
B) segment BC ≅ segment FE
C) segment AB ≅ segment FE
D) segment BC ≅ segment EF

7} Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segment EF ≅ segment ON and ∠MON is congruent to ∠GEF.
triangles FEG and NOM
What would Ebony need to compare in order to make sure the triangles are congruent by AAS?
A) segment EG and segment OM
B) ∠EFG and ∠ONM
C) segment NM and segment FG
D) ∠EGF and ∠OMN