Question

1. how do the points of a figure move in a translation?

a same distance and different direction
b same distance and same direction
c different distance and different direction
d different distance and same direction

1. is figure abcd a translation of figure abcd?

explain.

1. graph and label the image of figure abcd after a

translation 3 units right and 1 unit up.

1. what is the rule that describes the translation that

maps △lmn onto △lmn?
a 3 units right and 4 units up
b 3 units left and 4 units up
c 3 units right and 4 units down
d 3 units left and 4 units down

1. which figure is a translation of figure 1?

a figure a
b figure b
c figure c
d none of the above

Explanation:

Step1: Recall translation definition

Translation requires all points of a figure to move the same distance in the same direction.

Step2: Answer question 1

Match definition to options.

Step3: Analyze figure for question 2

Check if all points of ABCD move same distance/direction to A'B'C'D'.

Step4: Apply translation rule for question3

For each point $(x,y)$ of ABCD, new point is $(x+3, y+1)$.

Step5: Identify translation for question4

Track a vertex of $\triangle LMN$ to $\triangle L'M'N'$ (e.g., $L(-1,1)\to L'(2,-3)$: $-1+3=2$, $1-4=-3$).

Step6: Check translation for question5

Verify if any figure matches Figure1's shape/orientation after sliding.

Answer:

1. B. Same distance and same direction
2. Yes. Each vertex of ABCD is moved 4 units left and 2 units up to form A'B'C'D', so all points move the same distance and direction, which fits the definition of a translation.
3. (Graph instructions: For each vertex of ABCD:

• $A(1,3)\to A'(4,4)$
• $B(0,2)\to B'(3,3)$
• $C(2,1)\to C'(5,2)$
• $D(3,2)\to D'(6,3)$

Connect A', B', C', D' to form the translated figure.)

1. C. 3 units right and 4 units down
2. D. None of the above