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Rus_ich [418]
3 years ago
7

Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.

Mathematics
2 answers:
Maslowich3 years ago
8 0

Answer:

The length AB is 2.

The length A'B' is 3.

The image is smaller than the pre-image.

The scale factor is Three-halves.

The scale factor is Two-thirds.

Step-by-step explanation:

rodikova [14]3 years ago
6 0

Answer:

A,B,andE

Step-by-step explanation:

Or The length AB is 2, The length A'B' is 3, and The scale factor is Two-Thirds

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  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

<u>Step-by-step explanation:</u>

Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :

  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

Above mentioned are  , are the statements matched with expressions on right hand side (RHS)  .

  • The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
  • The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
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3 years ago
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