Geometry Exams

Geometry

Triangle RST is rotated 180° about the origin, and then translated up 3
units. Which congruency statement describes the figures? -
ANSWER>>>ΔRST ≅ ΔBAC

Nessa proved that these triangles are congruent using ASA. Roberto
proved that they are congruent using AAS. Which statement and reason
would be included in Roberto's proof that was not included in Nessa's
proof?

Given: AngleB ≅ AngleN; BC ≅ NM; AngleC is right; AngleM is right
Prove: TriangleABC ≅ TriangleQNM - ANSWER>>>Angle<A ≅ Angle<Q
because of the third angle theorem.

Which pair of triangles can be proven congruent by the HL theorem? -
ANSWER>>>

Could ΔABC be congruent to ΔADC by SSS? Explain. - ANSWER>>>Yes,
but only if BC ≅ DC.

Which rigid transformation would map TriangleABC to TriangleEDC? -
ANSWER>>>a rotation about point C

Triangle DEF is congruent to TriangleD'EF' by the SSS theorem. Which
single rigid transformation is required to map TriangleDEF onto
TriangleD'EF'? - ANSWER>>>rotation

To prove that the triangles are congruent by ASA, which statement and
reason could be used as part of the proof? - ANSWER>>>AngleFGH ≅
AngleKGJ because vertical angles are congruent.

Which best explains whether or not ΔABC ≅ ΔLMN? - ANSWER>>>The
figures are congruent because a 270° rotation about the origin and then a
reflection over the x-axis will map ΔABC onto ΔLMN.