Triangles, Symmetry, Rigid Motions and Transformations
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Questions and Answers

In triangle ABC, angle A measures 50 degrees, and angle B measures 70 degrees. What is the measure of angle C?

  • 80 degrees
  • 50 degrees
  • 70 degrees
  • 60 degrees (correct)

A dilation preserves the size and shape of a figure, only changing its location.

False (B)

A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?

5

A transformation that slides a figure along a straight line is called a ______.

<p>translation</p> Signup and view all the answers

Match the following rigid motions with their descriptions:

<p>Translation = Sliding a figure along a straight line without changing its orientation. Reflection = Flipping a figure over a line, creating a mirror image. Rotation = Turning a figure around a fixed point.</p> Signup and view all the answers

Flashcards

Triangle Angle Sum

The sum of the interior angles in a triangle is always 180 degrees.

Pythagorean Theorem

In a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): a² + b² = c².

Trigonometric Ratios

Ratios of the sides of a right triangle with respect to its angles (sine, cosine, tangent).

Translation

A transformation that slides a figure along a straight line without changing its size or shape.

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Reflection

A transformation that flips a figure over a line, creating a mirror image.

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Study Notes

  • Topics include triangle vocabulary, angle measures, Pythagorean Theorem, special right triangles and trigonometric ratios
  • Further topics include symmetry, rigid motions, translations, reflections, rotations and dilation

Triangle Vocabulary

  • Will be covered

Angle Measures

  • Find angle measures of a triangle

Pythagorean Theorem

  • Will be covered

Special Right Triangles

  • Will be covered

Trigonometric Ratios

  • Trigonometric ratios of triangles for finding side length and angles

Symmetry

  • Will be covered

Rigid Motions

  • Will be covered

Translations

  • Will be covered

Reflections

  • Will be covered

Rotations

  • Will be covered

Dilations

  • Will be covered

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Description

Explores triangle vocabulary, angle measures, Pythagorean Theorem, special right triangles, and trigonometric ratios. Additionally, it delves into symmetry, rigid motions, translations, reflections, rotations, and dilations, covering key concepts in geometry and transformations.

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