Congruence & Similarity
Transformations
Transformations
Triangle Congruence
Triangle Similarity
Pythagoras
Trigonometry
100
These are the rigid motions.
What are translations, rotations, reflections?
100
Given this congruence statement, the angle congruent to angle V.
What is
angleH
100
Are these two triangles similar?
Yes, Two Congruent Angles
100
When using Pythagoras' Theorem, the shorter sides are labeled with what letters?
A or B
100
When using Trigonometry, the side length across from the 90 degree angle is labeled with what letter?
H
200
Vertical line of reflection that is not the y-axis.
x = ____ (-3, 5, 12, 2)
200
The congruence conjecture that proves these are congruent triangles.
SSS
200
If triangle ABC ~ triangle XYZ by a scale factor of 1/3 YZ=?
YZ = 4
200
When using Pythagoras' Theorem, what is the formula to calculate side a?
a=sqrt(c^2-b^2
200
If you are given the Hypotenuse and Opposite, which Trigonometric Identity do you use to find the angle?
Sine
300
A transformation which is used to resize an object
What is a Dilation?
300
The type of triangles required to use the Hypotenuse Leg Theorem
What are Right Triangles?
300
If two triangles are similar then their angles are
Congruent
300
Calculate the length of the Hypotenuse (Decimal Form):
x = 7.6
300
Using Trigonometry, If you have an angle of 13 degrees and an opposite of 50cm, what is the adjacent length?(Tenth)
216.6cm
400
What Scale factor would be used to make the figures congruent? (from the original figure to the image)
k =1/2
400
Are the following triangles congruent? If so, name the congruence conjecture that proves it.
What is SAS?
400
x = 12
400
Calculate x (tenth):
x = 19.4
400
Using Trigonometry, If a triangle had an opposite length of 13m and a hypotenuse of 20m, what is the angle?
40.5 Degrees
500
What sequence of transformations maps Figure A onto Figure B?
Rotation 90 degrees clockwise (or 270 degrees counter clockwise)
Reflection over the x-axis
500
Complete the proof
1. Given
2. <TRU and <STR are congruent
3. Given
4. Alternate interior angles are congruent
5. TR is congruent to TR because Reflexive
6. Triangle SRT is congruent to triangle UTR because ASA
500
z=?
z = 6
500
Daniel rides his bicycle 21 km west and then 18 km north. How far is he from his starting point? (tenth)
27.7 km
500
A lifeguard is sitting on a chair 10 feet above the ground. He spots a swimmer at an angle of depression of 15°. How far away from the base of the chair is the swimmer to the nearest foot?
37 feet