Definitions
Lines & Angles
Patterns in Triangles
Similarity
Congruence
100
Define dilation
A transformation where a point or figure is multiplied by a scale factor to make the point or figure bigger or smaller.
100
If C is the midpoint of AB, AC = 2x + 1, CB = 3x – 4, find x.
x=5
100
What is the sum of the interior angles of a triangle?
180
100
If two figures are similar, the corresponding sides are ______________.
proportional
100
What triangle congruence theorem can be used to prove the triangles are congruent?
SSS
200
Define Congruence
When a figure is the same size and same shape after a rotation, translation and reflection.
200
m<1 = 100. Use angle addition postulate, to find out what angle 2 will be.
m< 2 = 80.
200
Solve for x.
x= 23
200
True or False: All angles in similar figures are congruent.
True
200
What triangle congruence theorem can be used to prove the triangles are congruent?
AAS
300
Define Similarity
Two figures are similar if they are the same shape but not necessarily the same size
300
If BX bisects ∠ABC, m∠ABX = 5x, and ∠XBC = 2x + 21, find x.
x=7
300
Solve for the missing angles.
x= 54 ; other angle = 72
300
Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 80⁰,40⁰
Explain why or why not?
Yes ; We can use the AA postulate.
300
<D
400
What postulates/theorems can be used to prove triangles are congruent?
HL, SAS, AAS, ASA, and SSS
400
Name the type of angles.
<1 & <4
<2 & <6
<3 & <6
<1 & <8
<1 & <4 = Vertical Angles
<2 & <6 = Corresponding Angles
<3 & <6 = Alternate Interior Angles
<1 & <8 = Alternate Exterior Angles
400
Find the missing angle m<U.
m<U = 70
400
x= 12
400
What triangle congruence theorem can be used to prove the triangles are congruent?
HL
500
When parallel lines are cut by a transversal, what type of angles are congruent?
Congruent: Vertical Angles, Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles
500
Name the type of angles.
<5 & <6
<4 & <6
<1 & <7
<5 & <6 = Supplementary Angles
<4 & <6 = Consecutive/Same-side Interior Angles
<1 & <7 = Consecutive/Same-side Exterior Angles
500
Find the missing angle m<TUY.
m<TUY = 120
500
x=9
500
AAA and SSA