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sleet_krkn [62]
2 years ago
7

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Using a stra

ightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the Corresponding Angles Theorem. By the __________ Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the Alternate Interior Theorem. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the __________ Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.
What properties accurately complete the proof?

Addition
Transitive

Reflexive
Reflexive

Substitution
Reflexive

Transitive
Transitive

Mathematics
2 answers:
borishaifa [10]2 years ago
8 0
According to the given descriptions to create a figure of lines, the answer is transitive property. Transitive property relates two angles that are separately proven by different theorems and making a statement that connects or relates the congruence of two angles or even two sides.
son4ous [18]2 years ago
3 0

Answer:

i wanna sa its A

Step-by-step explanation:


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scoray [572]

Answer:

Option (C)

Step-by-step explanation:

From the graph attached,

In ΔABC and ΔA'B'C',

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Therefore, ΔABC ~ ΔA'B'C'

Corresponding sides of these triangles will be proportional.

\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}=\frac{2}{6}

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Option (C) will be the correct option.

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I think this is what you have asked for.

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