which explains whether kadesha is correct?

kadesha is correct because triangle $abc$ is the pre-image and triangle $abc$ is the image.
kadesha is correct because each point in triangle $abc$ moves five units up.
kadesha is not correct because the number of units between points $a$ and $b$ is different than those between points $a$ and $b$.
kadesha is not correct because a translation is a horizontal movement.

Question

which explains whether kadesha is correct?

kadesha is correct because triangle $abc$ is the pre-image and triangle $abc$ is the image.
kadesha is correct because each point in triangle $abc$ moves five units up.
kadesha is not correct because the number of units between points $a$ and $b$ is different than those between points $a$ and $b$.
kadesha is not correct because a translation is a horizontal movement.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Translations in the Coordinate Plane", "Rigid Transformations" ], "current_concepts": [ "Translations in the Coordinate Plane", "Rigid Transformations" ] } ## Identify coordinates of the vertices $$ \begin{aligned} &A(1, -1), \quad B(1, -4), \quad C(4, -4) \ &A'(1, 5), \quad B'(1, 1), \quad C'(4, 1) \end{aligned} $$ ## Calculate vertical displacement for each vertex $$ \begin{aligned} &\Delta y_A = y_{A'} - y_A = 5 - (-1) = 6 \ &\Delta y_B = y_{B'} - y_B = 1 - (-4) = 5 \ &\Delta y_C = y_{C'} - y_C = 1 - (-4) = 5 \end{aligned} $$ ## Evaluate correctness of the translation $$ \begin{aligned} &\Delta y_A eq \Delta y_B \implies \text{Not a translation} \ &AB = |-1 - (-4)| = 3 \ &A'B' = |5 - 1| = 4 \ &AB eq A'B' \implies \text{Kadesha is not correct because the distance between } A \text{ and } B \text{ is different than between } A' \text{ and } B' \end{aligned} $$

Kadesha is correct because triangle ABC is the pre-image and triangle A'B'C' is the image.

Kadesha is correct because each point in triangle ABC moves five units up.

Kadesha is not correct because the number of units between points A and B is different than those between points A' and B'.

Kadesha is not correct because a translation is a horizontal movement.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Translations in the Coordinate Plane" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify coordinates of the vertices

Calculate vertical displacement for each vertex

Evaluate correctness of the translation

Answer: