Congruence Is Reflexive, Symmetric, and Transitive
Read this topicExplanations 1
Problems 10
- You are given angles A, B, C, and D. If angle A is congruent to angle B, and angle B is congruent to angle C, this means that
- The statement "If angle xyxyxy is congruent to angle czczcz, then angle czczcz is congruent to angle xyxyxy" can also be expressed as:
- △\triangle△ ABC is congruent to which of the following?
- Which statement below illustrates the transitive property of congruence, applied to an object A (possibly with other objects involved too)?
- Which statement below illustrates the symmetric property of congruence, applied to an object A (possibly with other objects involved too)?
- Which statement below illustrates the reflexive property of congruence, applied to an object A (possibly with other objects involved too)?
- We have △ABC\triangle ABC△ABC, △DEF\triangle DEF△DEF, and △GHI\triangle GHI△GHI. we know △ABC≅△DEF\triangle ABC \cong \triangle DEF△ABC≅△DEF; △ABC≅△GHI\triangle ABC \cong \trian…
- We have △ABC\triangle ABC△ABC, △DEF\triangle DEF△DEF, and △GHI\triangle GHI△GHI. we know △ABC≅△DEF\triangle ABC \cong \triangle DEF△ABC≅△DEF; △DEF≅△GHI\triangle DEF \cong \trian…
- Do reflexivity, symmetry and transitivity of congruence apply no matter what shapes or polygons are involved?
- Is the argument above valid? If so, how could you justify the argument?