Math Gr 8 Ch 10: Simular and Congruent Shapes
32 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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. (B)</p> Signup and view all the answers

Which of the following is a property of similar shapes?

<p>Corresponding angles are equal. (D)</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. (A)</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. (C)</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. (D)</p> Signup and view all the answers

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

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

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

<p>Three sides. (C)</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. (B)</p> Signup and view all the answers

What is the primary difference between congruent and similar shapes?

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

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

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

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

<p>To prove congruence. (D)</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. (C)</p> Signup and view all the answers

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

<p>To prove similarity. (B)</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 (D)</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 (B)</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 (C)</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 (B)</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 (A)</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 (D)</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 (C)</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 (D)</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 (B)</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 (B)</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 (A)</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 (A)</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 (D)</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 (D)</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 (A)</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 (A)</p> Signup and view all the answers

Flashcards are hidden until you start studying

More Like This

Use Quizgecko on...
Browser
Browser