 ESSENTIAL
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How can you prove a mathematical statement?
 Scholars
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QUESTION
will..
Write proofs involving segment addition.
Write proofs involving segment congruence.
If B is between A and C, then AB + BC = AC
If AB + BC = AC, then B is between A and C.
Given: AC = AB
AB = BX
CY = XD
Prove: AY = BD
Jamie is designing a badge for her club. The
length of the top edge of the badge is equal to
the length of the left edge of the badge. The top
edge of the badge is congruent to the right edge
of the badge, and the right edge of the badge is
congruent to the bottom edge of the badge.
Prove that the bottom edge of the badge is
congruent to the left edge of the badge.
Given:
Prove:
Given:
Prove:
A park, a shoe store, a pizza shop, and a movie
theater are located in order on a city street.
The distance between the park and the shoe
store is the same as the distance between the
pizza shop and the movie theater. Show that
the distance between the park and the pizza
shop is the same as the distance between the
shoe store and the movie theater.
Compare the Reflexive Property of Equality
with the Symmetric Property of Equality. How
are the properties similar? How are they
different?