FLVS 2.08 TRANSFORMATIONS AND
CONGRUENCE ACTUAL PAPER 2026
QUESTIONS SOLUTIONS GRADED A+
◉ 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? 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:
CONGRUENCE ACTUAL PAPER 2026
QUESTIONS SOLUTIONS GRADED A+
◉ 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? 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:
