Question

(a) Consider ΔPMQ and ΔNMO . Part A How do you know the triangles are similar? BoldItalicUnderlineStrikethroughSubscriptSuperscriptInsert ImageInsert LinkInsert TableAlign LeftAlign CenterAlign RightAlign JustifyIncrease IndentDecrease IndentParagraph Format MathSpecial CharactersUndoRedo 0 Words (b) Part B Write a similarity statement. BoldItalicUnderlineStrikethroughSubscriptSuperscriptInsert ImageInsert LinkInsert TableAlign LeftAlign CenterAlign RightAlign JustifyIncrease IndentDecrease IndentParagraph Format MathSpecial CharactersUndoRedo 0 Words (c) Part C How can you use transformations to verify that the triangles are similar? BoldItalicUnderlineStrikethroughSubscriptSuperscriptInsert ImageInsert LinkInsert TableAlign LeftAlign CenterAlign RightAlign JustifyIncrease IndentDecrease IndentParagraph Format MathSpecial CharactersUndoRedo

Answer 1

To verify if ΔPMQ and ΔNMO are similar, we look for equal corresponding angles and proportional sides. A similarity statement would be ΔPMQ ≈ ΔNMO if they are similar. Transformations can verify similarity.

To determine if ΔPMQ and ΔNMO are similar, we would typically look for corresponding angles being equal and the sides being in proportion. Without the specific information about angles and sides, similarity cannot be conclusively stated. However, general similarity criteria include Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS).

Part B of the question requests a similarity statement, which, assuming the triangles are similar, would be written as ΔPMQ ≈ ΔNMO, where the symbol ≈ indicates similarity. This implies that corresponding angles are equal, and the corresponding sides are in proportion.

Part C is about verifying similarity through transformations. If transformations such as rotation, reflection, translation, and dilation can be applied to one triangle to obtain the other, this verifies that the triangles are similar.