2.1 Congruent Figures
2.2 Translations
2.3 Reflections
2.4 Rotations
2.5 Similar Figures & Shadow Problems
2.7 Dilations & Scale Factor
100
Are the figures congruent? Explain your reasoning.
No, they are different sizes. Their sides lengths aren't the same.
100
List the options that are TRANSLATIONS
#2 and #4
100
List the options that are REFLECTIONS
#2 and #4
100
Determine the angle and direction of the rotation from Figure A to B
90 degree clockwise or 270 counterclockwise
100
Are the triangles similar?
Yes, sides are proportional. Therefore, the triangles are similar.
100
If k=4, what are the coordinates of Q'?
Q'(-8,8)
200
Triangles ABC and QRS are congruent. Which angle of ABC corresponds to ∠R?
∠B
200
Translate the triangle 4 left and 2 up. What are the coordinates of R'?
R' (2,3)
200
L(2,5) is reflected across the x-axis. Where is L'?
L'(2, -5)
200
Where is U' after a 90 degree counterclockwise rotation around the origin?
U'(-9,7)
200
A giraffe is 18 ft tall and casts a shadow of 12 ft. Corry casts a shadow that is 4 ft long. How tall is Corry?
6 ft tall
200
Determine the scale factor from Rectangle A to B.
k=1/2
300
Describe the error: "Both figures have four sides, and the corresponding side lengths are equal. So, they are congruent."
The figures are NOT congruent, because:
- the figures are different shapes
- their angles are not congruent
300
If a figure is translated 7 units right and 4 units down, write the translations in coordinate notation.
(x+7, y-4)
300
The coordinates of a point and its image are given. Is the reflection in the x-axis or y-axis?
(1,5)->(-1,5)
y-axis
300
Rotate JKL 180 degrees clockwise. Where is K'?
K'(3,-2)
300
Find x.
x=9
300
What are the coordinates of Q', if triangle QRS is dilated by a scale factor or 3?
Q(-1,-2) so Q'(-3,-6)
400
List all of the options that ARE congruent.
#4 and #6
400
Describe the translation from the red figure to the blue figure in words.
6 units right, 3 units down
400
Reflect the triangle across the x-axis. Where is S'?
S'(-4,-4)
400
Rotate JKL 90 degrees clockwise. Where is L'?
L'(4,3)
400
A lamppost that is 3 m tall casts a shadow that is 4 m long. At the same time, a nearby tree casts a shadow that is 10 m long. How tall is the tree?
7.5 m
400
Determine the scale factor.
k=4
500
If the figures are congruent, what is the perimeter of KLMN?
Perimeter = 10+5+5+4 = 24 in
500
A(5,-3) is translated 8 units left and 10 units up. Where is A'?
A'(5-8, -3+10)
A'(-3,7)
500
Reflect the figure across the y-axis. Where is W'?
W'(2,-2)
500
Where is F' after a 270 degree clockwise rotation around the origin?
F'(-9,2)
500
A flagpole casts a shadow that is 28 ft long. A 6 ft tall person standing nearby casts a shadow that is 8 ft long. How tall is the flagpole?
21 ft
500
Determine the scale factor.
(M')/M=(3,3)/(9,9)
k=1/3