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Questions and Answers
What is the definition of congruent shapes in geometry?
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?
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?
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?
What is the definition of similar shapes in geometry?
Which of the following is a property of similar shapes?
Which of the following is a property of similar shapes?
What is the Angle-Angle (AA) criterion for similar triangles?
What is the Angle-Angle (AA) criterion for similar triangles?
What is the Right Angle-Hypotenuse-Side (RHS) criterion for congruent triangles?
What is the Right Angle-Hypotenuse-Side (RHS) criterion for congruent triangles?
What is the difference between congruent and similar shapes?
What is the difference between congruent and similar shapes?
If two triangles have proportional corresponding sides, what can be concluded?
If two triangles have proportional corresponding sides, what can be concluded?
What is the minimum information required to prove that two triangles are congruent?
What is the minimum information required to prove that two triangles are congruent?
If two shapes can be superimposed on each other perfectly, what can be concluded?
If two shapes can be superimposed on each other perfectly, what can be concluded?
What is the primary difference between congruent and similar shapes?
What is the primary difference between congruent and similar shapes?
If two triangles have equal corresponding angles, what can be concluded?
If two triangles have equal corresponding angles, what can be concluded?
What is the purpose of the Angle-Side-Angle (ASA) criterion?
What is the purpose of the Angle-Side-Angle (ASA) criterion?
If two shapes have the same shape but not necessarily the same size, what can be concluded?
If two shapes have the same shape but not necessarily the same size, what can be concluded?
What is the purpose of the Angle-Angle (AA) criterion?
What is the purpose of the Angle-Angle (AA) criterion?
If two triangles have equal corresponding sides and equal corresponding angles, which criterion is satisfied?
If two triangles have equal corresponding sides and equal corresponding angles, which criterion is satisfied?
What is the minimum number of pairs of equal corresponding angles required to prove that two triangles are similar?
What is the minimum number of pairs of equal corresponding angles required to prove that two triangles are similar?
Which of the following is a necessary condition for two triangles to be congruent?
Which of the following is a necessary condition for two triangles to be congruent?
If two triangles have proportional corresponding sides and equal corresponding angles, what can be concluded?
If two triangles have proportional corresponding sides and equal corresponding angles, what can be concluded?
What is the purpose of the Right Angle-Hypotenuse-Side (RHS) criterion?
What is the purpose of the Right Angle-Hypotenuse-Side (RHS) criterion?
If two triangles are congruent, what can be concluded about their corresponding sides?
If two triangles are congruent, what can be concluded about their corresponding sides?
What is the primary difference between congruent and similar shapes?
What is the primary difference between congruent and similar shapes?
If two triangles have equal corresponding angles and proportional corresponding sides, which of the following is true?
If two triangles have equal corresponding angles and proportional corresponding sides, which of the following is true?
If two triangles have equal corresponding angles and equal corresponding sides, which of the following criteria is not satisfied?
If two triangles have equal corresponding angles and equal corresponding sides, which of the following criteria is not satisfied?
Which of the following is a necessary condition for two triangles to be similar but not congruent?
Which of the following is a necessary condition for two triangles to be similar but not congruent?
If two triangles are similar, which of the following can be concluded about their corresponding sides?
If two triangles are similar, which of the following can be concluded about their corresponding sides?
What is the minimum number of pairs of equal corresponding sides required to prove that two triangles are congruent using the SSS criterion?
What is the minimum number of pairs of equal corresponding sides required to prove that two triangles are congruent using the SSS criterion?
If two triangles have proportional corresponding sides and one pair of equal corresponding angles, which of the following criteria is not satisfied?
If two triangles have proportional corresponding sides and one pair of equal corresponding angles, which of the following criteria is not satisfied?
What can be concluded about two triangles if they have equal corresponding angles and one pair of proportional corresponding sides?
What can be concluded about two triangles if they have equal corresponding angles and one pair of proportional corresponding sides?
If two triangles have equal corresponding sides and one pair of equal corresponding angles, which of the following criteria is satisfied?
If two triangles have equal corresponding sides and one pair of equal corresponding angles, which of the following criteria is satisfied?
What can be concluded about two triangles if they are similar but not congruent?
What can be concluded about two triangles if they are similar but not congruent?
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