Congruent Shapes and Figures

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In geometry, what does it mean for two figures or objects to be congruent?

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

How can two sets of points be called congruent?

Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection.

What does it mean for two angles to be congruent?

Two angles are congruent if they have the same measure.

What does it mean for two circles to be congruent?

<p>Two circles are congruent if they have the same diameter.</p> Signup and view all the answers

What does it mean for two line segments to be congruent?

<p>Two line segments are congruent if they have the same length.</p> Signup and view all the answers

Which of the following is an example of a prime number?

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

Which of the following is an example of a composite number?

<p>9</p> Signup and view all the answers

What is the property called when a number is prime?

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

What is the fundamental theorem of arithmetic?

<p>Every natural number greater than 1 can be factorized as a product of primes.</p> Signup and view all the answers

Which method is used to check the primality of a number by testing whether it is a multiple of any integer between 2 and the square root of the number?

<p>Trial division</p> Signup and view all the answers

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