what sequence of transformations will map a triangle from (1,1), (3,1),…
c. Rotation 180 degrees
Question
what sequence of transformations will map a triangle from (1,1), (3,1), and (2,4) to (-1,-1), (-3,-1), and (-2,-4)?
a. reflection over the y-axis
b. dilation by 0.5, reflection over the y-axis
c. rotation 180 degrees
d. translation 3 units right, reflection over y-axis
Solution Steps
-
Understand the question
what sequence of transformations will map a triangle from (1,1), (3,1), and (2,4) to (-1,-1), (-3,-1), and (-2,-4)?
a. reflection over the y-axis
b. dilation by 0.5, reflection over the y-axis
c. rotation 180 degrees
d. translation 3 units right, reflection over y-axis
-
Explanation
Step1: Analyze coordinate transformation
Compare original points $(x,y)$ to new points $(-x,-y)$:
- $(1,1) \to (-1,-1)$, $(3,1) \to (-3,-1)$, $(2,4) \to (-2,-4)$
Step2: Match to transformation rule
A 180° rotation about the origin follows the rule $(x,y) \to (-x,-y)$, which matches the coordinate change.
Step3: Eliminate other options
- Reflection over y-axis: $(x,y) \to (-x,y)$ (does not match $-y$)
- Dilation + y-axis reflection: Scales coordinates first, does not result in $(-x,-y)$
- Translation + y-axis reflection: Shifts coordinates first, does not result in $(-x,-y)$
-
Final answer
c. Rotation 180 degrees
Answer
Explanation
Step1: Analyze coordinate transformation
Compare original points $(x,y)$ to new points $(-x,-y)$:
- $(1,1) \to (-1,-1)$, $(3,1) \to (-3,-1)$, $(2,4) \to (-2,-4)$
Step2: Match to transformation rule
A 180° rotation about the origin follows the rule $(x,y) \to (-x,-y)$, which matches the coordinate change.
Step3: Eliminate other options
- Reflection over y-axis: $(x,y) \to (-x,y)$ (does not match $-y$)
- Dilation + y-axis reflection: Scales coordinates first, does not result in $(-x,-y)$
- Translation + y-axis reflection: Shifts coordinates first, does not result in $(-x,-y)$
Answer
c. Rotation 180 degrees
Question Image
Click to enlargeQuestion Analysis
Subject
mathematics
Sub Subject
geometry
Education Level
high school
Difficulty
unspecified
Question Type
multiple choice
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-09T20:23:53
OCR Text
Show OCR extraction
what sequence of transformations will map a triangle from (1,1), (3,1), and (2,4) to (-1,-1), (-3,-1), and (-2,-4)? a. reflection over the y-axis b. dilation by 0.5, reflection over the y-axis c. rotation 180 degrees d. translation 3 units right, reflection over y-axis
Related Topics
Related Questions
-
use an area model to solve 31 × 26. multiply in the area model.
Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806
-
6. solve each equation. write each solution as a fraction and as a deci…
| Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…
-
Ok
- Fila 2: Circular el par (5, 2). - Fila 3: Circular el par (3, 3) (o la tarjeta con 3 y la otra con 4 dibujos, pero los números son 3 y 3? Wait, la tercera fila: primera tarjeta …
-
How do you solve pemdas
It's basically just a checklist so you don't get mixed up when a math problem has a bunch of stuff going on at once. You just go down the list in order: 1. **P**arentheses: Do any…
-
which number line models $-1 + (-14)$? add. $-1 + (-14) = \\square$
\(-15\)
-
11 et 12
The initial number of bacteria is 5. ### Turn 2 Answer Ça marche, regardons ça ! On dirait que tu es en plein dans les maths financières. Pour le **numéro 11**, on cherche le taux…
-
classifying a triangle on the packaging for a triangular sail, the edge…
obtuse
-
Which of the following transformations would you use to make a figure s…
b. Translation 3 units right and 4 units up ### Turn 2 Answer
Sovi AI iOS
Official website: mysovi.ai. Question pages are served on question-banks.mysovi.ai. iOS app is distributed through the Apple App Store.
Download on App Store Category: Geometry