All the choices (A, B, C, D, E) describe rigid transformations on quadrilateral ABCD.
To determine which choices describe a rigid transformation on quadrilateral ABCD, let's review the properties of rigid transformations:
Translation: This is a slide where all points move the same distance and direction.
Rotation: This involves rotating all points around a fixed point (center of rotation) by a certain angle.
Reflection: This involves flipping a figure over a line (mirror line).
Now, let's analyze each choice:
A) Rotate ABCD around angle ADJ and translate by the directed line segment D/. This will take quadrilateral ABCD to quadrilateral JMAD.
This involves a rotation and a translation. Therefore, it's a rigid transformation.
B) Reflect ABCD across AB and translate by the directed line segment AB. This will take quadrilateral ABCD to quadrilateral BFGH.
This involves a reflection and a translation. Therefore, it's a rigid transformation.
C) Translate ABCD by the directed line segment DK and reflect A'B'CD' across DK. This will take quadrilateral ABCD to quadrilateral D.N. K.
This involves a translation and a reflection. Therefore, it's a rigid transformation.
D) Rotate ABCD around angle CBF. This will take quadrilateral ARCD to quadrilateral CBFE.
This involves a rotation. Therefore, it's a rigid transformation.
E) Reflect ABCD across DC and translate by the directed line segment Ci. This will take quadrilateral ABCD to quadrilateral CONY.
This involves a reflection and a translation. Therefore, it's a rigid transformation.
In conclusion, all the choices (A, B, C, D, E) describe rigid transformations on quadrilateral ABCD.
Question
Select all choices that describe a rigid transformation on quadrilateral ABCD that takes it to another figure. (Lesson 1-18) A) Rotate ABCD around angle ADJ and translate by the directed line segment D/. This will take quadrilateral ABCD to quadrilat eral JMAD. B) Reflect ABCD across AB and translate by the directed line segment AB. This will take quadrilateral ABCD to quadrilateral BFGH, C Translate ABCD by the directed line segment DK and reflect A'B'CD' across DK. This will take quadrilateral ABCD to quadrilat- eral D.N. K. D) Rotate ABCD around angle CBF. This will take quadrilateral ARCD to quadrilateral CBFE. E) Reflect ABCD across DC and translate by the directed line segment Ci. This will take quadrilateral ABCD to quadrilateral CONY.