Congruency
Similarity
Postulates
Potpourri
Dilations
100
What is the definition of congruence?
100
What is the definition of similarity?
Similar figures have the same shape but a different size
100
Name the three similarity postulates.
What is SSS, SAS, AA
100
Draw a pair of vertical angles
100
A dilation does what to a figure?
shrinks or enlarges
200
name two real life congruent figures
subject to interpretation
200
How do you verify similarity?
by checking the proporion
200
Name the 5 congruence Postulates
What is SSS, SAS, HL, ASA, AAS
200
Name the non rigid transformations
What is Dilation
200
How do you perform dilations around the origin? (0,0)
What is multiply by the scale factor
300
Angle 6 and Angle 7 are vertical angles. Angle 6 equals 75 degrees. What does angle 7 equal?
What is 75 degrees
300
Name two similar figures
300
Which postulates fall into both the congruence and similarity postulates?
What is SSS, SAS
300
What is a non-rigid transformation?
300
Perform a dilation around the origin with coordinates (2,2) (3,4) and (1,5) with a scale factor of 3
What are (6,6) (9,12) and (3,15)
400
What is the symbol for congruence?
~ and =
400
How do you know if two triangles are SAS by similarity rather than congruence?
What is the side lengths are different and related by a proportion for similar figures.
400
What do you need to prove that triangles are congruent by the SSS postulate?
What is three congruent sides
400
Are similar figures congruent?
What is No, because similar figures are different sizes and congruent figures are the same size
400
What is the formula for performing a dilation around a center point instead of the origin.
What is X'=Xc + K (X-Xc) Y'=Yc + K (Y-Yc)
500
Which symbols are used to show congruence of sides and angles?
Arcs for the angles and tic marks for the sides
500
What is the symbol for similarity?
~
500
What do you need to prove that triangles are congruent by the HL postulate?
What is A right triangle with a congruent hypotenuse and congruent leg
500
Are congruent figures similar? Why or why not?
Yes, because by definition similar figures have equal proportions and congruent figures also have equal proportions.
500
If the scale factor is smaller than 1 then the dilated figure will be __________ than the original (pre-image) figure
What is smaller
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