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write explain what a conjecture is and how it is used in math. remember…

Question

write
explain what a conjecture is
and how it is used in math.
remember
if two figures are congruent, all corresponding sides and
all corresponding angles have the same measure.
practice

  1. determine which figures are congruent to figure a. follow the steps

given as you investigate each shape.

  • make a conjecture about which figures are congruent to figure a.
  • use patty paper to investigate your conjecture.
  • justify your conjecture by stating how you can move from figure a

to each congruent figure by sliding, flipping, or spinning figure a.
figure a
figure b
figure c
figure d
figure e
figure f
figure your conjecture congruent
to figure a? how do you move figure a onto
the congruent figure?
b
c
d
e
f
module 1 • topic 1 • lesson 1 assi

Explanation:

Step1: Understand Congruence

Congruent figures have same - sized sides and angles.

Step2: Analyze Each Figure

  • Figure B:
  • Your Conjecture: Congruent to Figure A.
  • Congruent to Figure A? Yes.
  • How Do You Move Figure A onto the Congruent Figure? Slide (translation).
  • Figure C:
  • Your Conjecture: Not congruent to Figure A.
  • Congruent to Figure A? No. (Different shape - angles and sides don't match).
  • Figure D:
  • Your Conjecture: Not congruent to Figure A.
  • Congruent to Figure A? No. (Different shape - angles and sides don't match).
  • Figure E:
  • Your Conjecture: Congruent to Figure A.
  • Congruent to Figure A? Yes.
  • How Do You Move Figure A onto the Congruent Figure? Flip (reflection).
  • Figure F:
  • Your Conjecture: Not congruent to Figure A.
  • Congruent to Figure A? No. (Different shape - angles and sides don't match).

Answer:

FigureYour ConjectureCongruent to Figure A?How Do You Move Figure A onto the Congruent Figure?
CNot congruentNo-
DNot congruentNo-
ECongruentYesFlip (reflection)
FNot congruentNo-