Question
please match the following terms with their correct definition. (5 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
CPCTC Theorem
Segment addition postulate
Side-Side-Side Similarity Theorem
Transitive property of congruence
Reflexive property of congruence
The property that states that an angle, line segment, or geometric figure is congruent to itselfthe property that states that if two shapes are congruent to a third shape, then all the shapes are congruentthe theorem stating that if two or more triangles are congruent, then their corresponding angles and sides are also congruent; it stands for "corresponding parts of congruent triangles are congruent"a theorem that states that if the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are similarthe postulate that states that if we are given two points on a line segment, A and C, then a third point, B, lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC
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Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
CPCTC Theorem
Segment addition postulate
Side-Side-Side Similarity Theorem
Transitive property of congruence
Reflexive property of congruence
The property that states that an angle, line segment, or geometric figure is congruent to itselfthe property that states that if two shapes are congruent to a third shape, then all the shapes are congruentthe theorem stating that if two or more triangles are congruent, then their corresponding angles and sides are also congruent; it stands for "corresponding parts of congruent triangles are congruent"a theorem that states that if the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are similarthe postulate that states that if we are given two points on a line segment, A and C, then a third point, B, lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC
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Answers
GPT-4o mini
Here are the matched terms and definitions:
1. **CPCTC Theorem** - the theorem stating that if two or more triangles are congruent, then their corresponding angles and sides are also congruent; it stands for "corresponding parts of congruent triangles are congruent"
2. **Segment Addition Postulate** - the postulate that states that if we are given two points on a line segment, A and C, then a third point, B, lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC
3. **Side-Side-Side Similarity Theorem** - a theorem that states that if the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are similar
4. **Transitive Property of Congruence** - the property that states that if two shapes are congruent to a third shape, then all the shapes are congruent
5. **Reflexive Property of Congruence** - the property that states that an angle, line segment, or geometric figure is congruent to itself
1. **CPCTC Theorem** - the theorem stating that if two or more triangles are congruent, then their corresponding angles and sides are also congruent; it stands for "corresponding parts of congruent triangles are congruent"
2. **Segment Addition Postulate** - the postulate that states that if we are given two points on a line segment, A and C, then a third point, B, lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC
3. **Side-Side-Side Similarity Theorem** - a theorem that states that if the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are similar
4. **Transitive Property of Congruence** - the property that states that if two shapes are congruent to a third shape, then all the shapes are congruent
5. **Reflexive Property of Congruence** - the property that states that an angle, line segment, or geometric figure is congruent to itself