Reflections & Rotations
A reflection over the y-axis from 5,7
-5,7
what is sine?
opposite side over hypotenuse (SOH)
what is Pythagorean Theorem formula?
a2+b2=c2
A Supplementary angle
180 degrees
what is a centroid?
The centroid of a triangle is its center of mass or balancing point, located exactly where its three medians intersect.
Coordinates 3,10 rotated 180 degrees.
-3,-10
what is cosine?
Adjacent side over hypotenuse (CAH)
which side is always c?
hypotenuse
a Complementary angle
90 degrees
what is an incenter?
The incenter of a triangle is the point where its three internal angle bisectors intersect.
triangle with coordinates: a 2,4 b 6,4 c 6, 10. what are the coordinates after 90 degree clockwise rotation
A'(-4, 2) B' (-4, 6) and C' (-10, 6)
what is tangent?
Opposite side over adjacent side (TOA)
if a=3 and b=4, what is c?
5, because 32+42=25
and the square root of 25 is 5!
what is angle sum theorem?
a formula for triangles, where angle a + angle b + angle c = 180 degrees
what is a circumcenter?
The circumcenter of a triangle is the point where the perpendicular bisectors of its three sides intersect
same thing as a 180 degree roation
a refleection over the origin
what acronym is best for remembering trigonomic rations?
SOH CAH TOA
true or false: the point where sides a and b meet always make a right angle.
true
in a supplementary angle, the left side of the angle bisector equals 45 degrees, what does the other angle equal?
135 degrees
what is an orthocenter
The orthocenter of a triangle is the single point where all three altitudes of the triangle intersect.
Rotating 270 degree counter clockwise
In a right triangle, the side opposite your angle is 3 cm, and the hypotenuse is 5 cm. What is the sine of the angle?
3/5 05 0.6
if c=17, and b=8, what is a?
a=15
If two supplementary angles are represented by (2x + 10) and (3x), what is the value of x?
x=34 degrees
Where is the circumcenter located on a right triangle?
Exactly on the midpoint of the hypotenuse.