Similar Triangles Homework 2 Notes

Similar Figures

• Listing Congruent Angles and Proportions:
  • List all congruent angles.
  • Write a proportion relating corresponding sides.

Scale Factor

• Scale Factor of Figure A to Figure B:
  • Determine the scale factor for similar polygons.
    • Example: $\frac{4}{16} = \frac{1}{4}$

Using Scale Factor to Find Values

• Given the Scale Factor:
  • If the scale factor of Figure A to Figure B is $4:5$, find the value of $x$.
  • If the scale factor of Figure A to Figure B is $7:2$, find the perimeter of Figure A.

Similar Triangles

• Using Similarity to Find Unknown Values:
  • If $ABC \sim DEC$, find the values of $x$ and $y$.
  • If $JKL \sim NMP$, find the value of $x$.
  • If $DGH \sim DEF$, find the value of $x$.
  • If $XYZ \sim RST$, find $RS$.
  • If $ABC \sim EDC$, find $AC$.
  • If $JKL \sim MKN$, find the value of $x$.
  • If $BCD \sim GEF$, find $BD$.
  • If $PQR \sim ST$, find the value of $x$.
  • If $CDE \sim GDF$, find $ED$.