The coordinates of the vertices of △def are d(2,−1) , e(7,−1) , and f(2,−3) . the coordinates of the vertices of △d′e′f′ are d′(0,−1) , e′(−5,−1) , and f′(0,−3) . what is the sequence of transformations that maps △def to △d′e′f′ ? a sequence of transformations that maps △def to △d′e′f′ is a followed by a

a) translation 2 units right
b) rotation of 180 degrees about the origin
c) reflection across the y-axis
d) translation 2 units up

choose 2 correct answers.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

As a self-employed seamstress, you know that it takes 7 yards of material to make 3 jackets. you bought 15 yards of material to make 7 jackets. did you buy enough material? if not, how much were you over or under?

Three problems for 50 ! 1- -3t=99 2- 1/6k=-11 3- 4 1/2 +q=9 1/2 show work thx s !