Math Gr 8 Ch 10: Simular and Congruent Shapes
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Questions and Answers

What is the definition of congruent shapes in geometry?

  • Two shapes are congruent if they have the same size but not necessarily the same shape.
  • Two shapes are congruent if they have different shapes and sizes.
  • Two shapes are congruent if they have the same shape but not necessarily the same size.
  • Two shapes are congruent if they have the same shape and size. (correct)

    • Which of the following is a property of congruent shapes?

  • Corresponding angles are equal. (correct)
  • Congruent shapes can be superimposed on each other imperfectly.
  • Corresponding angles are unequal.
  • Corresponding sides are proportional.

    • What is the Side-Side-Side (SSS) criterion for congruent triangles?

  • If all three sides of one triangle are equal to all three sides of another triangle. (correct)
  • If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
  • If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.
  • If two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

    • What is the definition of similar shapes in geometry?

    <p>Two shapes are similar if they have the same shape but not necessarily the same size.</p> Signup and view all the answers

    Which of the following is a property of similar shapes?

    <p>Corresponding angles are equal.</p> Signup and view all the answers

    What is the Angle-Angle (AA) criterion for similar triangles?

    <p>If two angles of one triangle are equal to two angles of another triangle.</p> Signup and view all the answers

    What is the Right Angle-Hypotenuse-Side (RHS) criterion for congruent triangles?

    <p>If the hypotenuse and one other side of one triangle are equal to the hypotenuse and one other side of another triangle.</p> Signup and view all the answers

    What is the difference between congruent and similar shapes?

    <p>Similar shapes have the same shape but not necessarily the same size, while congruent shapes have the same shape and size.</p> Signup and view all the answers

    If two triangles have proportional corresponding sides, what can be concluded?

    <p>They are similar.</p> Signup and view all the answers

    What is the minimum information required to prove that two triangles are congruent?

    <p>Three sides.</p> Signup and view all the answers

    If two shapes can be superimposed on each other perfectly, what can be concluded?

    <p>They are congruent.</p> Signup and view all the answers

    What is the primary difference between congruent and similar shapes?

    <p>Shape and size.</p> Signup and view all the answers

    If two triangles have equal corresponding angles, what can be concluded?

    <p>They are similar.</p> Signup and view all the answers

    What is the purpose of the Angle-Side-Angle (ASA) criterion?

    <p>To prove congruence.</p> Signup and view all the answers

    If two shapes have the same shape but not necessarily the same size, what can be concluded?

    <p>They are similar.</p> Signup and view all the answers

    What is the purpose of the Angle-Angle (AA) criterion?

    <p>To prove similarity.</p> Signup and view all the answers

    If two triangles have equal corresponding sides and equal corresponding angles, which criterion is satisfied?

    <p>Both Side-Side-Side (SSS) and Angle-Side-Angle (ASA) criteria</p> Signup and view all the answers

    What is the minimum number of pairs of equal corresponding angles required to prove that two triangles are similar?

    <p>2</p> Signup and view all the answers

    Which of the following is a necessary condition for two triangles to be congruent?

    <p>All corresponding sides and angles are equal</p> Signup and view all the answers

    If two triangles have proportional corresponding sides and equal corresponding angles, what can be concluded?

    <p>The triangles are similar</p> Signup and view all the answers

    What is the purpose of the Right Angle-Hypotenuse-Side (RHS) criterion?

    <p>To prove that two triangles are congruent</p> Signup and view all the answers

    If two triangles are congruent, what can be concluded about their corresponding sides?

    <p>They are equal in length</p> Signup and view all the answers

    What is the primary difference between congruent and similar shapes?

    <p>Congruent shapes have equal corresponding sides, while similar shapes have equal corresponding angles</p> Signup and view all the answers

    If two triangles have equal corresponding angles and proportional corresponding sides, which of the following is true?

    <p>The triangles are similar</p> Signup and view all the answers

    If two triangles have equal corresponding angles and equal corresponding sides, which of the following criteria is not satisfied?

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

    Which of the following is a necessary condition for two triangles to be similar but not congruent?

    <p>Proportional corresponding sides</p> Signup and view all the answers

    If two triangles are similar, which of the following can be concluded about their corresponding sides?

    <p>They are proportional</p> Signup and view all the answers

    What is the minimum number of pairs of equal corresponding sides required to prove that two triangles are congruent using the SSS criterion?

    <p>3</p> Signup and view all the answers

    If two triangles have proportional corresponding sides and one pair of equal corresponding angles, which of the following criteria is not satisfied?

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

    What can be concluded about two triangles if they have equal corresponding angles and one pair of proportional corresponding sides?

    <p>They are similar</p> Signup and view all the answers

    If two triangles have equal corresponding sides and one pair of equal corresponding angles, which of the following criteria is satisfied?

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

    What can be concluded about two triangles if they are similar but not congruent?

    <p>They have proportional corresponding sides</p> Signup and view all the answers

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