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Geometry Honors- 03.03 Triangles and Similarity Questions and Answers
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Geometry Honors- 03.03 Triangles and Similarity Questions and Answers If a figure has been dilated by a scale factor of 2, which transformation could be used to prove the figures are similar using the AA similarity postulate? A series of translations to map at least two angles of the image to two...

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  • September 15, 2024
  • 2
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • geometry honors 0303 triangles and similarity qu
  • if a figure has been dilated by a scale factor of
  • if a translation maps i onto k which of the fol

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  • Mnl

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Geometry Honors- 03.03 Triangles and
Similarity Questions and Answers

If a figure has been dilated by a scale factor of 2, which transformation could be used to
prove the figures are similar using the AA similarity postulate? - answer A series of
translations to map at least two angles of the image to two angles of the pre-image.

If a translation maps ∠I onto ∠K, which of the following statements is true? - answer
ΔGHI ~ ΔGJK

Which of the following completes the proof?
Given: Segment AC is perpendicular to segment BD
Prove: ΔACB ~ ΔECD

Reflect ΔECD over line segment AC. This establishes that ________. Then, ________.
This establishes that ∠E'D'C' ≅ ∠ABC. Therefore, ΔACB ~ ΔECD by the AA similarity
postulate. - answer !!NOT!! ∠ABC ≅ ∠E'D'C'; translate point E' to point A

- answer ∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180°
around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.

Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?
m∠E > m∠Z
ΔEFG ~ ΔYXZ
The measure of each segment in ΔYXZ is three times the size of those in ΔEFG.
There is a sequence of rigid motions that map ΔEFG onto ΔYXZ. - answer ΔEFG ~
ΔYXZ

If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity
postulate can be used to determine whether ΔBAC ~ ΔEDC? - answer !!NOT!! Yes,
the AA similarity postulate can be used because a reflection over line f will establish that
Line segment AB ≅ Line segment DE.

If ΔMNL is rotated 180° about point N, which additional transformation could determine
if ΔONP and ΔMNL are similar by the AA similarity postulate? - answer Dilate M'N'L'
from point N by a scale factor of line segment NP/line segment NL

Ellie drew ΔLMN, in which m∠LMN = 90°. She then drew ΔPQR, which was a dilation of
ΔLMN by a scale factor of 1/2 from the center of dilation at point M. Which of these can
be used to prove ΔLMN ~ ΔPQR by the AA similarity postulate? - answer m∠P ≅
m∠L; this can be confirmed by translating point P to point L.

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