Define dilation
A transformation where a point or figure is multiplied by a scale factor to make the point or figure bigger or smaller.
If C is the midpoint of AB, AC = 2x + 1, CB = 3x – 4, find x.
x=5
What is the sum of the interior angles of a triangle?
180
If two figures are similar, the corresponding sides are ______________.
proportional
What triangle congruence theorem can be used to prove the triangles are congruent?
SSS
Define Congruence
When a figure is the same size and same shape after a rotation, translation and reflection.
m<1 = 100. Use angle addition postulate, to find out what angle 2 will be.
m< 2 = 80.
Solve for x.
x= 23
True or False: All angles in similar figures are congruent.
True
What triangle congruence theorem can be used to prove the triangles are congruent?
AAS
Define Similarity
Two figures are similar if they are the same shape but not necessarily the same size
If BX bisects ∠ABC, m∠ABX = 5x, and ∠XBC = 2x + 21, find x.
x=7
Solve for the missing angles.
x= 54 ; other angle = 72
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.
<D
What postulates/theorems can be used to prove triangles are congruent?
HL, SAS, AAS, ASA, and SSS
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
Find the missing angle m<U.
m<U = 70
x= 12
What triangle congruence theorem can be used to prove the triangles are congruent?
HL
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
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
Find the missing angle m<TUY.
m<TUY = 120
x=9
AAA and SSA