n Flashcards
What are Vertical angle and corresponding line
Vertical angles are opposite of each other when two lines cross. And corresponding lines are the side of each other when two lines cross
Isoleoclles triangle vs equilateral triangle vs right triangle.
Isoleoclles triangle has two sides that are the same. equilateral triangl all sides are the same.
How to solve right triangle using the outside. Ex x/2 and stuff. there is 2.
First one is 2 45 angle. And across 90 degree angle is x squared root 2. Hypotenuse is X and opposite is X. The second one is 30 degree angle and 60 degree. Adjacent is x hyportneute is 2x and opposite is x squared root 2. These can only work with special right triangles.
What is a speical right triangles and how to identity.?
By angles such as 45 45, or 60 30. And by squared root.
Area of a triagnle is
A = 1/2bh
What happens when an angle is bigger.
The opposite side becomes bigger
What are the geometry rules similatiryty. (SS) and what do they stand for
AA, SSS, SAS
WHat is a segment
A line with a begging and end
What is a midpoint
Is the middle point of a line segmen
What is a angle bisector
is the line or line segment that divides the angle into two equal parts
Parallel vs perpendicular lines
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
The aum of the degree measures iof the angles in a convex polygon with 5 sides can be found: with the equation
180 (n-2)
How to find exterior angle?
Sum of two angles
PYTHAROGEN THOERM AND WHEN CAN T BE USED
he Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle’s other two sides, called the legs
What is radian and how to convert to angle
raidan to angle = raidan *180/ pie. angle to raidan. Angle * pie/180
What are some ways to find missing side length. First for equilateral then right triangle then isoloeces triangle.
irst triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12. Also for isoleoces triangle. If you have 2 angles you know that the third one must add up to 180; For equilateral the third angle will equal to the other two. For right triangle you can use patherogrm thoerm. and unit conversion if they are conguent
How to know if it will be a special right triangle
By angle and square root
WHat is congruent
The same shape and size,
QUadateral is a __ shape and must add up to __ degrees
What id SOH, CAH, TOA and when to use
Sin(θ) = Opposite / Hypotenuse. CAH: Cos(θ) = Adjacent / Hypotenuse. TOA: Tan(θ) = Opposite / Adjacent. We can use SOHCAHTOA to find a missing side of a right angled triangle when we have another side and a given angle. We can use SOHCAHTOA to find a missing angle of a right angled triangle when we have two given sides.
What happens when two lines are perpincudlar to ta third line
Those two lines become parallel
if two angles add up to 90°, the sine of one equals the cosine of the other.
the sine of one equals the cosine of the other A bit of notation applies here: when we want to know what the sine of an angle is, say, the sine of angle A, we write “sin A.”
what are vertical angles, corresponding angles, alternate interior angles, and supplementary line?
vertical angles are angles formed by the intersection of two lines while alternate interior angles, alternate exterior angles, corresponding angles and consecutive interior angles are formed by the intersection of two lines and a transversa. Supplemlnmary line add up to 180 degrees.
Exterior angle theorem
states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
An isoleoces triangle has
An isoleoces triangle has two same sides, and two same angles.
and the opposite angles are equal to each other. Ex =. If AB=AC. Then angle B and C are = to each other.
Pythagorean triplets. Name 2 of them
Pythagorean triplets. (3,4,5) (5,12,13) are the most common
Right troiangles and triangle ineqlaity theorem. How to solve right triangles
Every right triangle obeys the pythagroem theorem. A squared + b squared = c squared.
Where C is the hypotensue.
triangle ineqlaity theorem. states that the sum of any two sides of a triangle is greater than or equal to the third side; in
Special right triangles (you have to meorize two special triangles relationship)
45-45-90 angle. = x on adjacent and opposite. And x square root 2 on hypotenuse
30-60-90 angle. = x on opposite. 2x on hypostnue and x square root 3 on adjacnet
Similar triangles and congruent triangles
you can find Similar triangles, by AA, SAS, SS. Example if one triangle has a side of 3 and 4, the other has 9 and 12, they are similar.
Similar triangles have the same shape but sizes may vary but congruent triangles have the same shape and size. You can solve them using the formula x1/x2=y1/y2. This is different than averages ratios because you use the same line for x’s and the same line for y’s.
Radian (pi raidan =) converting radian to degree and vice versa. How much radian in a circle
Radian (pi raidan = 180) There are 2π radians in a whole circle, which means that half a circle (180°) is equal to π radians.
What is Soh-cah-toa. When to use soh-cah toa, and Patherigm theorm, And how to use it when you have one angle? What is sin 90, cos 90, tan 90. What is sin 0, cos 0, tan 0. What is Cos x, and Sin x. What is Sin b, if Cos a = 2, if they are completmary lines.
Example if you have an angle of 43, an unknown opposite and a hypotenuse of 12. You would use SOH. So it would be sin43 = x/12. Then you multiply each side by 12. Then you first do SIN 43 = 0.681. Then multiply it by 12 which gives you 8.18. Sin x = cos(90-x) . COs x = sin(90-x)
Sin 0 = o. Cos 0 = 0. Tan 0 = 0. Sin 90 = 1. Cos 90 = 0. Tan 90 = undefined. Sin b= cos a.
. Use soh-cah-toa when youhave an angle and 2 side lengths. Use theorem theorem when dealing with only sides.
Area of a circle
Area of a circle is: pi*R squared
Circumference of a circle:
Circumference of a circle: 2pi*R
Arc length: and sector area
Arc length: angle/360 * circumference. Or Central angle/360 = arc length/ circumference. Can use if you have 3/4. Area of the sector. Central angle/360 = area of sector/ area of circle.
The measure of an arc is the
The measure of an arc is the measure of its central angle.
Inscribed angle, the arc is
twice the value of the inscribed angle.
