Geometry Honors- 03.03 Triangles and Similarity Questions and Answers

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 angles of the pre-image. If a translation maps ∠I onto ∠K, which of the following statements is true? 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. !!NOT!! ∠ABC ≅ ∠E'D'C'; translate point E' to point A ∠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. 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? !!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? 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? m∠P ≅ m∠L; this can be confirmed by translating point P to point L. Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate? Use a rigid transformation to prove that ∠NPO ≅ ∠NLM. In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Z? 38° 62° 80° 142° 38° If angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ΔABC ~ ΔADE by AA similarity postulate? Translate triangle ADE so that point D lies on point B to confirm ∠D ≅ ∠B.