Quadrilateral A'B'C'D'A ′
B
′
C
′
D
′
A, prime, B, prime, C, prime, D, prime is the result of dilating quadrilateral ABCDABCDA, B, C, D about point AAA by a scale factor of \dfrac{1}{2}
2
1

start fraction, 1, divided by, 2, end fraction.

Determine whether each claim about the properties of ABCDABCDA, B, C, D and A'B'C'D'A
′
B
′
C
′
D
′
A, prime, B, prime, C, prime, D, prime is true or false.
The lengths of \overline{AB}
AB
start overline, A, B, end overline and \overline{A'B'}
A
′
B
′

start overline, A, prime, B, prime, end overline are equal.

\overline{AB}
AB
start overline, A, B, end overline and \overline{A'B'}
A
′
B
′

start overline, A, prime, B, prime, end overline are on distinct parallel lines.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

the answer is b to that quesiton