Assess Readiness
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Name 4 sets of supplementary angles in Part 1.
\angle A and\angle B ;\angle B and\angle C ;\angle C and\angle D ; and\angle D and\angle A . -
What is the sum of the measures of supplementary angles? Why?
180\unicode{x00b0} because they form a straight line. -
Name 2 sets of vertical angles in Part 1.
\angle A and\angle C ; and\angle B and\angle D . -
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In Part 2,
\Delta ABC was translated to\Delta A'B'C' . Is\overline{AB} congruent to\overline{A'B'} ? How do you know?Yes because translations do not change the length of a line.
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Is
m\angle A equal tom\angle A' ? How do you know?Yes because translations do not change the measure of an angle.
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Is
\Delta ABC congruent to\Delta A'B'C' ? Why?Yes because the image is congruent to the pre-image after a translation.
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In Part 3,
\Delta DEF was dilated by a scale factor of 2 to create\Delta D'E'F' . Are these triangles congruent or similar?Similar.
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Why is
2x+10=x+30 a true equation?It is a true equation because corresponding angles are congruent in similar figures.
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What action do you need to make to create the equivalent equation
x+10=30 ?Subtract
x on both sides. -
What is another action you can take to combine the terms with variable
x on the same side to createx + 10 = 30 ?Subtract
2x on both sides.
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