2026 QUESTIONS SOLUTIONS GRADED A+
◉ triangles FEG and NOM
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. What would Ebony
need to compare in order to make sure the triangles are congruent
by AAS? Answer: !!!N O T!!! segment EG and segment OM
◉ The figure below shows rectangle ABCD with diagonals segment
AC and segment DB:
A rectangle ABCD is shown with diagonals AC and BD.
Jimmy wrote the following proof to show that the diagonals of
rectangle ABCD are congruent:Jimmy's proof:Statement 1: Rectangle
ABCD is givenStatement 2: ≅ because opposite sides of a rectangle
are congruentStatement 3: Angles ABC and DCB are both right
angles by definition of a rectangleStatement 4: Angles ABC and DCB
are congruent because all right angles are congruent)Statement
5:Statement 6: Triangles ABC and DCB are congruent by
SASStatement 7: ≅ by CPCTCWhich statement below completes
, Jimmy's proof? Answer: Segment BC ≅ segment BC (reflexive
property of congruence)
◉ figure Q has four sides with vertices at 2, 4 and 3, 3 and 1, 1 and 0,
2
Which series of transformations will not map figure Q onto itself?
Answer: (x + 0 y − 4), reflection over y = x − 1
◉ quadrilateral PQRS with diagonals PR and SQ that intersect at
point T
If quadrilateral PQRS is a rectangle, then which of the following is
true? Answer: Segment PS ≅ segment QR
◉ In triangle ABC shown below, side AB is 10 and side AC is 8:
Triangle ABC with segment joining point D on segment AB and point
E on segment AC.
Which statement is needed to prove that segment DE is parallel to
segment BC and half its length? Answer: Segment AD is 5, and
segment AE is 4.