*Review*
Are they similar?
Dilations
Similar Figures
Indirect Measurement
100
Describe the rotation (degrees and direction).
90o counterclockwise
100
Preimage A has the following rule to create A'.
(x, y) -> (2x, 4y)
Will A and A' be similar figures?
No, because not all sides increase by the same scale factor.
100
Triangle XYZ is rotated about a point and then dilated by a scale factor of 1/3 to produce triangle X'Y'Z'. Which statement correctly compares X'Y'Z' to XYZ?
a) The angle measures depend on the angle of rotation, but the side lengths are 1/3 the size of the preimage.
b) The angle measures are congruent, but the side lengths are three times the size of the preimage.
c) The angle measures are congruent, but the side lengths are 1/3 the size of the preimage.
d) The angle measures and the side lengths are 1/3 the size of the preimage.
c) The angle measures are congruent, but the side lengths are 1/3 the size of the preimage.
100
Which sequence of transformations results in figures that are similar, but not congruent?
100
A 12' tall tree casts a shadow that is 15' long. A 5' tall person is standing near the tree. What is the length of the person's shadow?
x = 6.25 ft
200
Identify the ordered pair for point H.
H(-4,2)
200
An architect designs floor plans for two houses. The floor plans for the houses are shown and are a reflect of each other. What is the value of x?
These are congruent figures because they're reflections of each other, therefore x=26 ft.
200
What are the new coordinates for each point after a dilation with a scale factor of 3?
A'(0,3)
B'(6,0)
C'(0,-6)
200
What two things must be true for figures to be considered similar?
1. Angles must be congruent.
2. Side length must be proportional.
200
A statue of Abraham Lincoln casts a 9-foot shadow at the same time the White House casts a 48-foot shadow. If the White House is 70 feet tall, how tall is the statue of Abraham Lincoln?
x = 13.125 ft
300
What is the ordered pair for D after its been reflected over the y-axis?
D'(-6,5)
300
What transformations can be used to show that triangle LMN is similar to triangle PQR?
dilation, rotation
300
On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. What type of transformation was used to transform Figure 1 into Figure 2?
Dilation
300
Find the length of side PR?
PR = 16
300
Identify the corresponding angles.
∠G ≅ ∠T
∠A ≅ ∠I
∠N ≅ ∠R
400
What is the ordered pair for point B(-2,-6) after a translation of 6 units to the right and 3 units down?
B'(4,-9)
400
If these two trapezoids are similar, what is the measure of the missing angle?
120o
400
Rectangle R undergoes a dilation with scale factor 0.25 and then a reflection over the y-axis. The resulting image is Rectangle S. Which statement about Rectangle R and S is true?
a) They are similar but not congruent.
b) They are similar and congruent.
c) They are congruent but not similar.
d) They are neither similar nor congruent.
a) They are similar but not congruent.
400
Which figure is similar to Figure A?
a) Figure A c) both figures
b) Figure B d) neither of the figures
d) neither of the figures
400
a = 10
500
On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and 3 are similar by a sequence of transformations. What type of transformation was used to transform Figure 2 into Figure 3?
Reflection over the y-axis
500
What transformation is used to show that the parallelograms are similar?
dilation
500
Triangle ABC is the preimage. Find the scale factor of the similar triangles.
k = 2
500
Triangle ABC and DBE are similar. Find the value of x.
x = 7.5
500
Which proportion will correctly solve for the missing side length, h?
