Table of Contents
- 1 What are the rigid transformations that will map?
- 2 How is Wxy mapped to MNQ quizlet?
- 3 Which transformations are rigid transformations?
- 4 Can a translation and a reflection map Triangleqrs to Triangletuv explain why or why not?
- 5 Which explains whether Δfgh is congruent to Δfjh quizlet?
- 6 Is rotation rigid or Nonrigid?
What are the rigid transformations that will map?
Reflections, translations, rotations, and combinations of these three transformations are “rigid transformations”. While the pre-image and the image under a rigid transformation will be congruent, they may not be facing in the same direction.
How can a translation and a rotation be used to map HJK and LMN?
Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM.
How is Wxy mapped to MNQ quizlet?
How can WXY be mapped to MNQ? Two rigid transformations are used to map HJK to LMN. Two rigid transformations are used to map ABC to XYZ.
Which transformation S can be used to map △ RST onto?
Which tranformation(s) can be used to map RST onto VWX? d. rotation, then translation. The triangles are congruent by SSS or HL.
Which transformations are rigid transformations?
There are three basic rigid transformations: reflections, rotations, and translations. There is a fourth common transformation called dilation.
What are rigid motion transformations?
Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.
Can a translation and a reflection map Triangleqrs to Triangletuv explain why or why not?
Can a translation and a reflection map QRS to TUV? Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map.
How can rigid transformations be used to prove congruency How can congruency theorems be used to prove congruency?
Two figures are congruent if and only if we can map one onto the other using rigid transformations. Since rigid transformations preserve distance and angle measure, all corresponding sides and angles are congruent. With as few as 3 of the measurements, we can often show that two triangles are congruent.
Which explains whether Δfgh is congruent to Δfjh quizlet?
The triangles are congruent by the SSS congruence theorem. Which explains whether ΔFGH is congruent to ΔFJH? C. They are not congruent because only one pair of corresponding sides is congruent.
Could Δjkl be congruent to Δxyz explain?
Could ΔJKL be congruent to ΔXYZ? Explain. C.No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle. Yes, they are congruent by either ASA or AAS.
Is rotation rigid or Nonrigid?
Whether that be translation, rotation, or reflection, you are not changing the shape’s original form in any way, you are just changing its position in space. Non-Rigid Transformations actually change the structure of our original object. For example, it can make our object bigger or smaller using scaling.