Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
Two transformations or series of transformation that support Maria's claim and Maps ΔABE to ΔACD are;
A dilation with a scale factor of 3 about point A
A dilation with a scale factor of 3 about point B followed by a translation of 4 units downwards
Step-by-step explanation:
Using an online source, we have;
ΔABE ~ ΔACD
The coordinate of triangle ΔABC are;
A(-6, 4), B(-6, 2), and E(-2, 2)
The coordinate of triangle ΔACD are;
A(-6, 4), C(-6, -2), and D(6, -2)
∠A ≅ ∠A by reflexive property
Segment BE ║Segment CD and segment DE and segment AE are collinear on transversal AD
∴ ∠E ≅ ∠D Corresponding angles
∴ ΔABE ~ ΔACD by Angle-Angle rule of congruency
Segment AB on ΔABE and segment AC on triangle ΔACD are corresponding sides on both triangles
The length of segment AB on ΔABE = 2 units
The length of segment AC on ΔACD = 6 units
The scale factor of dilation, SF = (The length of segment AC)/(The length of segment AB)
∴ SF = (6 units)/(2 units) = 3
Therefore, ΔABE maps to ΔACD by either of the following;
1) A dilation with a scale factor of 3 about point A
2) A dilation with a scale factor of 3 about point B followed by a translation of 4 units downwards.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.
