Congruence
Similarity
Properties of triangles
Pythagoras
Angles
100
What are congruent shapes?
Shapes that are the same size and same shape
100
What are similar shapes?
Shapes that are proportional to each other (same scale factor for each side)
100
How many degrees in a triangle?
180 degrees
100
What is the formula for pythagoras?
a2+b2=c2
100
How many degrees in a right angle?
90 degrees
200
SAS- Side Angle Side
200
Which rule determines similarity but not congruence?
AAA (Angle, Angle, Angle)
200
True or false. In isosceles triangles, two angles are equal in magnitude?
True
200
What is the length of the hypotenuse if a = 6 and b = 8?
10
200
What do you call two adjacent angles adding to 180 degrees?
Supplementary angles.
300
What is the first step to proving congruence?
Find what information we have and determine whether they are the same for both triangles
300
Are all shapes that are similar also congruent?
No
300
What is the definition of an isosceles triangle?
Two sides the same length
300
What is the value of c if a = 15cm and b = 8cm?
17cm
300
Define the Z rule (can draw diagram)
The internal angles made by two parallel lines and a third line which intersects both are equal in magnitude.
400
What is the minimum amount of information required to prove congruence?
Two angles and a side
Two sides and an included angle
Three sides
400
What are the rules to prove similarity?
AAA, SSS, SAS
400
If a property of an isosceles triangle is that two sides are the same, what is another property of an isosceles triangle?
Two angles are equal in magnitude
400
What is the value of b if c = 18m and a = 6m? Round to 2 decimal places.
16.97m
400
Vertically opposed angles is what rule (which letter)?
X Rule
500
Write the steps to prove congruence in the following question.
AB = AD (given)
Angle BAC = Angle DAC
AC=AC (Same length)
Triangle ABC = Triangle ADC (SAS)
500
If these two triangles are similar, calculate the value of x.
x=15
500
What is the difference between equilateral and scalene triangles?
Equilateral has all equal side lengths. Scalene has all different side lengths.
500
If a table measures 1m by 2m, what is the length of the diagonal? Round to 2 decimal places.
2.24m
500
What defines co-interior angles?
Two angles add to 180 degrees.