Triangles Round 2

1
Triangles Round 2

• Geometry, Summer 2007

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Right Triangles

• A triangle with one right angle and two acute
  angles
• Legs
• Hypotenuse

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Triangle Congruence

• Congruent figures
• Corresponding parts

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BE CAREFUL!!!

• Pay special attention to the order of the
  vertices in statements about congruent
  figures. Look at the vertices listed
  first. They are the vertices of two
  congruent angles. Find the other pairs of
  congruent angles by looking at the vertices
  listed second, the vertices listed third,
  and so on.

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Congruent Parts
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Identifying Congruent Parts

• Write a congruence statement for the triangles.
  Identify all pairs of congruent corresponding
  parts.

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Identifying Congruent Parts

• Write a congruence statement for the triangles.
  Identify all pairs of congruent corresponding
  parts.

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Using Symbols
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Example

• In the diagram, QRST ? WXYZ. Find the values of
  x and y.

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Properties of Congruent Triangles
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Example

• In the diagram,?XYZ ? ?MNL. Complete the
  statements below.

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Examples

• Find the values of x and y.