Scale Factor Exit Ticket
Geometry & Dilations
Scale Factor Exit Ticket
Score ______ / 7
Name:
Date:
Period:
1
Enlarge the Square (Scale Factor = 2)
/ 2 pts
k = 2
Square \(ABCD\) has a side length of 2 units. Calculate the new dimensions and draw the enlarged square \(A'B'C'D'\) on the blank grid using a scale factor of 2.
Original Figure
A B C D 2 units
Draw Dilated Square (\(A'B'C'D'\))
A'
Calculate New Dimension:
Work:
New Side:
units
Draw vertices \(B', C', D'\) on the blank grid and label side length.
2
Reduce the Triangle (Scale Factor = 0.5)
/ 3 pts
k = 0.5
Right triangle \(\triangle PQR\) has a base of 6 units and height of 4 units. Reduce the triangle by a scale factor of 0.5 (\(\frac{1}{2}\)) and draw \(\triangle P'Q'R'\) on the blank grid.
Original Figure
P Q R base = 6 ht = 4
Draw Dilated Triangle (\(\triangle P'Q'R'\))
P'
Calculate New Dimensions:
New Base:
= units
New Height:
= units
Plot \(Q', R'\) on the blank grid and connect vertices.
3
Explain: Scale Factor of 1
/ 2 pts
k = 1
A graphic designer applies a scale factor of 1 (\(k = 1\)) to an image. In complete sentences, explain what happens to the size and shape of the image. Why?
The resulting image is:
Enlarged Reduced Congruent (Same Size)
Self-Check: Both figures drawn Dimensions calculated Explanation complete
CCSS.MATH.CONTENT.7.G.A.1
