Triangles
Describe an equilateral triangle
A triangle with three congruent sides and angles
Yes
What are Rigid Motions
Transformations the preserve length & angle measure.
When to shapes are symmetrical they are...
congruent
What do SSS, SAS, ASA, AAS, and HL stand for?
Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, and Hypotenuse-Leg
What is the angle measure of an equilateral triangle?
60 degrees
Line AB and CD are congruent, line AD measure 32 and CD measures 8x-8. What is x?
5
A) When you reflect across the x-axis you change the sign of?
B) When you reflect across the y-axis you change the sign of?
A) Y coordinate
B) X coordinate
The line of reflection is
where you can fold a shape in half and it lines up
For SAS to be true, the included angle must be where?
Where the two sides meet.
The base angles of an isosceles triangle are..
congruent
Square X has an area of 4x+7 and is reflected then rotated to become Square Y with an area of 2x+15. What is the area of the square Y?
23
A 90 degree clockwise rotation is equal to what counter clockwise rotation?
270 degrees
A pentagon has rotational symmetry of
72 degrees
For ASA to be true, what must be true?
The angles and side must be on the same line.
The side must be between the angles.
Triangle A is an isosceles triangle with a vertex angle of 45 degrees, what are the base angle measurements?
67.5 degress
In triangle △ABC and △DEF, the following equations represent the lengths of corresponding sides: Solve for x
2
(X,Y) becomes what for a 90 degree CC rotation?
(-y,x)
Name the symmetries of a hexagon
60, 120, 180, 240, 300
HL Theorem can only be used on what triangles?
Right triangles
The two arms of triangle A are 2x+3 and 3x-2. Solve for X and determine the arm lengths
X = 5 and arms = 13
Will a shape that has been rotated, reflected, translated, then rotated, the translated, the reflected, reflected again, shrunk, and translated be congruent?
No
Point A is located at (7,-4) and is rotated 180 degrees clockwise, what is the new coordinate?
(-7,4)
What kind of symmetry(s) does a smiley face have?
Reflectional and point symmetry
On a Test, which of the following would be an incorrect theory:
AAS, SAS, SAA, HL
SAA