Question

1. a sequence involving moving a figure vertically and horizontally with no rotation is called:

a. pure rotation
b. pure dilation
c. pure reflection
d. pure translation

1. which transformation flips a figure over a line?

a. reflection
b. rotation
c. dilation
d. translation

1. a point located at (4, -3) undergoes a reflection across the y-axis followed by a translation 2 units up. what are the final coordinates of the point?

a. (-4, -1)
b. (-4, -5)
c. (4, -1)
d. (-4, 1)

1. which transformation will not change the size of a figure?

a. translation
b. scaling
c. compression
d. dilation

Explanation:

First Question:

Pure translation moves a figure vertically/horizontally without rotation. Pure rotation involves rotation, pure dilation changes size, pure reflection flips over a line. So the correct option is d.

Reflection flips a figure over a line. Rotation turns it, dilation changes size, translation moves it. So the correct option is a.

Step1: Reflect across y - axis

For a point \((x,y)\), reflection across y - axis gives \((-x,y)\). For \((4,-3)\), after reflection, it is \((-4,-3)\).

Step2: Translate 2 units up

Translating a point \((x,y)\) \(k\) units up changes the \(y\) - coordinate by adding \(k\). So \((-4,-3 + 2)=(-4,-1)\).

Answer:

d. Pure translation

Second Question: