Question
Prove that the image of a triangle under an isometry is a new triangle congruent to the original.
Step 1
### Show more…
Show all steps
Your feedback will help us improve your experience
Ian Shi and 90 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Give the missing statements and reasons in this proof of Transformation Theorem 4. (FIGURE CAN'T COPY) Theorem. A triangle and its image under an isometry are congruent. Given: $\triangle \mathrm{A}^{\prime} \mathrm{B}^{\prime} \mathrm{C}^{\prime}$ is the image of $\triangle \mathrm{ABC}$ under a certain isometry. Prove: $\triangle \mathrm{ABC} \cong \triangle \mathrm{A}^{\prime} \mathrm{B}^{\prime} \mathrm{C}^{\prime}$. Proof. (TABLE CAN'T COPY)
Transformations
Properties of Isometries
PROOF Prove that the criteria for congruent triangles in this lesson is equivalent to the de$\square$nition of congruence in terms of rigid motions.
Congruent Triangles
Congruent Polygons
Give the missing statements and reasons in this proof of Transformation Theorem 3. (FIGURE CAN'T COPY) Theorem. An isometry preserves angle measure. Given: $\angle \mathrm{A}^{\prime}$ is the image of $\angle \mathrm{A}$ under a certain isometry. \text {Prove: } \angle \mathrm{A}=\angle \mathrm{A}^{\prime}. Proof. (TABLE CAN'T COPY)
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD