Triangles Flashcards
What does triangle mean?
Three triangles
How many degrees does a triangle add up to?
180
What is opposite the longest and shortest side of a triangle?
The largest and shortest angle.
If two sides of a triangle are equal then….
Then the angles opposite the sides are equal.
Types of triangle
Right Angled Acute Angled Obtuse Angled Scalene Isosceles Equilateral
Right Angle Triangle
One angle is equal to 90 degrees.
Acute Triangle
All angles are acute
Obtuse Angled
One angle is obtuse
Scalene Triangle
All sides are of different lengths
Isosceles Triangle
Two sides are equal
Equilateral Triangle
All sides are Equal
What is the name of the longest side of a triangle?
Hypotenuse
That is pythagorus theorem?
The hypotenuse is equal to the sum of the remaining sides. So H= a+b.
This the sum of a right angled triangle.
How to find the area of the largest square of a right angle triangle.
It is equal to the sum of the other two squares.
How to find the missing side of a right angle?
Write down hypotenuse theorem (a2=b2+c2) and then use algebra to solve it.
How yo find the mid point of a and b
If a is (2,1) and b is (4,5)
Find the average point of the x coordinate of a and b and then find the average point of the y coordinate of a and b.
So 2+4 divide by 2 then 1+5 divide by 2 = 3 for x and 3 for y.
What are congruent triangles?
Two triangles that are the same shape and size.
What is congruence criteria?
When two triangles are congruent if one or more of the following four criteria applies:
(SSS)
(SAS)
(AAS)
(RHS)
(SSS)
Side Side Side
SAS
Side Angle Side
AAS
Angle Angle Side
RHS
Right angle Hypotenuse Side
What are similar triangles
When they are the same shape but not the same size.
Find the length of a,b (hypotenuse) using co ordinates
Subtract the x coordinates and then sub tract the y coordinates
Then add the answer
Then find the square root of the answer
(If one coordinate is a negative number then add the coordinates together.
