Question 7 multiple answer We want to show two triangles are

Question 7 (multiple answer)

We want to show two triangles are similar if two corresponding angles are congruent and one triangle is an isometry transformation of the other (AA). Given triangle ABC, DE is drawn so it is parallel to BC. Then, ?ADE??B because of the Corresponding Angle Postulate. Also, ___[1]____ by the Reflexive Property of Congruence. Now consider triangle ADE; it is a dilation of triangle ABC by a factor of 12. Since ___[2]____, which preserves angle measures, then ?ABC??ADE by the AA Similarity Postulate.

Select one answer choice for [1] and one answer choice for [2].

[2]: a dilation transformation is an isometric transformation

[1]: ?EDA??B

[2]: a dilation transformation is not an isometric transformation

[1]: ?A??A

Solution

[1] = ?A??A

{Since Reflexive Property of CONGRUENCE States that, For all angles A, ?A??A. An angle is congruent to itself. }

[2] =  a dilation transformation is not an isometric transformation

{ A dilation is not an isometry since it either shrinks or enlarges a figure. }