Similarity Transformation

1. When equilateral triangle $\triangle ABC$ is dilated by a factor of $\dfrac{1}{2}$ , what are the corresponding angle measurements of the image triangle?

$60$

$30$

$120$

$90$

Question 1 of 10

2. Find the scale factor of dilation from $\triangle DBE$ to $\triangle ABC$

$\dfrac{5}{7}$

$1.4$

$2.5$

$\dfrac{1}{2}$

Question 2 of 10

3. Find the scale factor of dilation from rectangle $ABCD$ to $EFGH$

$8$

$2$

$\dfrac{1}{2}$

$16$

Question 3 of 10

4. What are the coordinates of a similar rectangle $\dfrac{1}{2}$ of rectangle $A(4,8)$ , $B(8,8)$ , $C(8,2)$ , $D(4,2)$ ?

$A'(2,4)$ , $B'(4,4)$ , $C'(4,1)$ , $D'(2,2)$

$A'(2,4)$ , $B'(4,6)$ , $C'(4,1)$ , $D'(2,2)$

$A'(8,16)$ , $B'(16,16)$ , $C'(16,4)$ , $D'(8,4)$

$A'(2,4)$ , $B'(4,4)$ , $C'(4,1)$ , $D'(2,1)$

Question 4 of 10

5. Are $\triangle ABC$ and $\triangle DFE$ similar?

Yes

Question 5 of 10

6. $\triangle DEF$ is similar to $\triangle ABC$ . $\triangle DEF$ is a result of a dilation of $\triangle ABC$ by a factor of 2, a translation of 4 units right and 2 units up. What are the coordinates of point $D$ , if its corresponding point $A$ is located $(4,3)$ ?

$(16,10)$

$(12,8)$

$(0,10)$

$(4,8)$

Question 6 of 10

7. Find the scale factor of dilation of $\triangle KID$ to $\triangle FIG$

$2$

$\dfrac{1}{2}$

$\dfrac{1}{4}$

$0.23$

Question 7 of 10

8. The preimage of triangle $A(12,2)$ , $B(2,12)$ , $C(-2,8)$ , has the corresponding coordinates: $D(9,3)$ , $E(4,8)$ , $F(2,6)$ . What transformation(s) did $\triangle DEF$ go through?

Translation 3 units right, five units down, reflection over y-axis

Translation 3 units left, 2 units down, dilation factor of 3

Translation 3 units left, 2 units down, dilation factor of 2

Translation 3 units right, five units down

Question 8 of 10