If you know that two angles in one triangle are congruent to two angles in another triangle, which theorem would you use to prove the last two angles are congruent?
Third angles theorem
100
Without using any shortcuts, to show that two triangles are congruent you must show that all _______________ are congruent.
corresponding parts (angles and side lengths).
100
To use SSS congruency, you must show _______________.
That each side of one triangle is congruent to another side of a different triangle.
100
What are the two criteria we can name triangles based off of?
Side length and angle measure
100
What do all the angles in a triangle add up to?
180 degrees
200
Which property states that a figure is congruent to itself?
Reflexive property of congruency
200
Write a congruency statement from SLIDE 9
Triangle XYZ is congruent to Triangle GFE
200
Describe (in your own words) what you would need to know about two triangles in order to use the SAS congruency shortcut.
two sets of sides would need to be congruent & the included angles of those sides would need to be congruent.
200
Describe what an obtuse triangle is.
A triangle with one obtuse angle.
200
The angles in an ______________ and _______________ triangle are 60 degrees.
equiangular and equilateral
300
What theorem would you use on SLIDE 3?
Exterior Angles Theorem
300
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
300
What is the only congruency shortcut that requires the triangle to be a specific type of triangle? And what is that type of triangle?
Hypotenuse-Leg congruency & a right triangle.
300
If you are naming a triangle based on its side length, what are all your possible options?
Equilateral
Isosceles
Scalene
300
The acute angles in a right triangle are _____________.
complimentary or add up to 90 degrees.
400
Given the picture on SLIDE 4, which theorem would you use to determine the triangle is isosceles?
Converse Isosceles Triangle Theorem
400
Given the information on SLIDE 6, write a congruency statement.
Triangle DFE is congruent to Triangle KLJ
400
Look at the picture on SLIDE 8 and determine the shortcut you would use to prove the triangles congruent.
SAS
400
Go to slide 10 and classify the triangle based on its angle measures and side lengths.
right and scalene
400
Draw a picture and explain what an included angle is.
An angle that is squished between two side lengths.
500
Determine what theorem you would have to use on SLIDE 5
Vertical Angles Theorem
500
List all of the corresponding parts of the triangles given the congruency statement on SLIDE 7
angle R and angle O
angle S and angle P
angle T and angle Q
segment RS and segment OP
segment ST and segment PQ
segment RT and segment OQ
500
Describe the difference between when you can use the shortcut ASA and AAS.
To use ASA, you must know the two included sides are congruent and to use AAS, you must know that two nonincluded sides are congruent.
500
Describe the difference between an acute and an equiangular triangle.
Both have all acute angles, but equiangular triangles have 60 degree angles and an acute can have different measured angles as long as they are all acute.
500
Use the picture in SLIDE 2 to identify the base angles and find their measure.