How many lines of symmetry does the equilateral triangle have?
3 lines of symmetry
To figures are congruent if......
They have the exact same shape and size.
The 4 transformations studied in class.
Reflection, Rotation, Translation, and Dilation
Name the figure
Hexagon (6 sides)
What do you call lines that intersect to form four right angles?
Perpendicular Lines
Rotation Symmetry: when a shape matches its original shape before completing a 360 degree rotation.
How can you find scale factor when given two similar figures?
Use the fraction new side over original side
Describe the transformation
Rotation
Find the missing interior angle.
x+34+120=180
26 degrees
Are these Parallel, Perpendicular, or Neither? Explain how you know?
y = 5x + 4 and y = 5x +6.
Parallel
Both Equations have the same slope of 5.
Reflection Symmetry: Yes or No
Rotation Symmetry: Yes or No
Reflection Symmetry: No
Rotation Symmetry: Yes (matches again when turned 180 degrees)
The two triangles below are congruent. Solve for x.
2x+11=3x-9
x=2
Describe the following transformation:
Left 6 units, Up 2 units
Find x.
Exterior Angle Theorem:
132=9x+3+93
x=4
What is the slope of the perpendicular line to
y=3/4x+6
Perpendicular Slope =
-4/3
Name a letter that has a horizontal line of symmetry.
Bonus: Name all 5 possibilities.
Possible Answers: B, C, D, E, or K
Determine if the two triangles are similar or not.
Similar
Each corresponding side pair had the same scale factor.
Find the sequence of transformations to get from triangle A to triangle C
1) Reflection about the y-axis
2) Reflection about the x-axis
The sum of the interior angles of a polygon with 17 sides is...
Sum of Interior Angles: 2,700 degree
(n-2)*180
(17-2)*180
What is the slope of a line parallel to the line below?
y-5=7/2(x+6)
Parallel Slope =
7/2
Which shapes have exactly two lines of reflection symmetry?
The Yellow and the Blue Rectangles
The length of side x.
x = 7
Dilate the triangle made by the follow points by a scale factor of 3.5 around the origin.
A: (2, 3) B: (4, 1) C: (-2, -2)
After dilation:
A'(7, 10.5) B'(14, 3.5) C'(-7, -7)
Solve for x:
Sum of Interior Angles:
(7-2)*180=900
6x+150=900
x=125
Are these Parallel, Perpendicular, or Neither? Explain how you know.
y = 2/3x -1 and y = -2/3x + 4.
Neither
The slope are not equal and they are not opposite reciprocals. They are just two intersecting lines.