FLVS 2.08 TRANSFORMATIONS AND
CONGRUENCE REVIEW AND PRACTICE TEST
QUESTIONS WITH CORRECT ANSWERS
What series of transformations would carry the rectangle onto itself? CORRECT
ANSWER (x + 0, y − 4), 180° rotation, reflection over the y-axis
Beth is planning a playground and has decided to place the swings in such a way that
they are the same distance from the jungle gym and the monkey bars. If Beth places the
swings at point D, how could she prove that point D is equidistant from the jungle gym
and monkey bars? CORRECT ANSWER NOT- If AD≅CD , then point D is equidistant
from points A and B because a point on a perpendicular bisector is equidistant from the
endpoints of the segment it intersects.
The figure below shows rectangle ABCD with diagonals AC and DB:
Jimmy wrote the following proof to show that the diagonals of rectangle ABCD are
congruent:
Jimmy's proof: Statement 1: Rectangle ABCD is given
Statement 2: ≅ because opposite sides of a rectangle are congruent
Statement 3: Angles ABC and DCB are both right angles by definition of a rectangle
Statement 4: Angles ABC and DCB are congruent because all right angles are
congruent)
Statement 5:
Statement 6: Triangles ABC and DCB are congruent by SAS Statement 7: ≅ by CPCTC
Which statement below completes Jimmy's proof? CORRECT ANSWER BC ≅ BC
(reflexive property of congruence)
Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be
congruent triangles and has ensured that ≅ and ∠MON ≅ ∠GEF. What would Ebony
need to compare in order to make sure the triangles are congruent by SAS? CORRECT
ANSWER NOT- OM and EF
Which series of transformations will not map figure H onto itself? CORRECT ANSWER
(x − 3, y − 3), reflection over y = −x + 2
Which statement accurately describes how to reflect point A (1, 1) over the y-axis?
CORRECT ANSWER Construct a line from A perpendicular to the y-axis, determine the
distance from A to the y-axis along this perpendicular line, find a new point on the other
side of the y-axis that is equidistant from the y-axis.
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). Which
CONGRUENCE REVIEW AND PRACTICE TEST
QUESTIONS WITH CORRECT ANSWERS
What series of transformations would carry the rectangle onto itself? CORRECT
ANSWER (x + 0, y − 4), 180° rotation, reflection over the y-axis
Beth is planning a playground and has decided to place the swings in such a way that
they are the same distance from the jungle gym and the monkey bars. If Beth places the
swings at point D, how could she prove that point D is equidistant from the jungle gym
and monkey bars? CORRECT ANSWER NOT- If AD≅CD , then point D is equidistant
from points A and B because a point on a perpendicular bisector is equidistant from the
endpoints of the segment it intersects.
The figure below shows rectangle ABCD with diagonals AC and DB:
Jimmy wrote the following proof to show that the diagonals of rectangle ABCD are
congruent:
Jimmy's proof: Statement 1: Rectangle ABCD is given
Statement 2: ≅ because opposite sides of a rectangle are congruent
Statement 3: Angles ABC and DCB are both right angles by definition of a rectangle
Statement 4: Angles ABC and DCB are congruent because all right angles are
congruent)
Statement 5:
Statement 6: Triangles ABC and DCB are congruent by SAS Statement 7: ≅ by CPCTC
Which statement below completes Jimmy's proof? CORRECT ANSWER BC ≅ BC
(reflexive property of congruence)
Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be
congruent triangles and has ensured that ≅ and ∠MON ≅ ∠GEF. What would Ebony
need to compare in order to make sure the triangles are congruent by SAS? CORRECT
ANSWER NOT- OM and EF
Which series of transformations will not map figure H onto itself? CORRECT ANSWER
(x − 3, y − 3), reflection over y = −x + 2
Which statement accurately describes how to reflect point A (1, 1) over the y-axis?
CORRECT ANSWER Construct a line from A perpendicular to the y-axis, determine the
distance from A to the y-axis along this perpendicular line, find a new point on the other
side of the y-axis that is equidistant from the y-axis.
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). Which
