Show:
Miscellaneous
Postulates/Theorem
Proofs
CPCTC
Equations
100
What is a corollary?
Small extension of what you know.
100
By what theorem are these two triangles congruent, if any? Image.
With vertical angles, AAS.
100
Provide an example of the Reflexive property.
AB is congruent to AB
100
∆ABC≅∆XYZ. How can you justify that AB≅XY
CPCTC
100
Triangle ABC: A=55, B=90, C=x Find x
x=35
200
Three segments form a triangle. How many unique triangles can you construct using the same three segments?
You can only form one triangle given three different segments. Theorem SSS would not work if you could make more than one triangle.
200
Which of these do not always prove congruency? AAA, SSS, SSA
AAA and SSA
200
What is a linear pair?
A pair of adjacent angles formed by intersecting lines. They add together to 180.
200
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
200
Solve for x Image
x=13
300
Give a set of angles for an equilateral triangle.
What is (60,60,60)
300
What are the five theorems used to prove triangle congruency?
SSS, SAS, ASA, AAS, and HL
300
What are the vertical angles. Image.
∠AXD≅∠BXC , ∠AXB≅∠DXC
300
Angle A is congruent to Image
Angle B
300
A triangle has angle measures x+15, 3x-35, and 4x. What type of triangle is it? Be as specific as possible.
Obtuse isosceles, with angles of 40, 40, and 100.
400
What is the common angle/side of PQT and RSQ? Image.
PQT.
400
What three conditions must you have when using the HL Theorem?
Right angles, congruent hypotenuse, congruent pair of legs
400
DAILY DOUBLE WORTH 800 Given: YC≅AM, ∠AYM and ∠CMY are right angles. Prove: ∠A≅∠C Image
YM≅YM by the reflexive property. ∆AYM≅∆CMY by HL. ∠A≅∠C by CPCTC.
400
∆CIA≅∆KGB. Name all of the pairs of corresponding congruent parts.
(CI)≅(KG), (IA)≅(GB), (AC)≅(BK), ∠C≅∠K, ∠I≅∠G, ∠A≅∠B
400
Th length of the base of an isosceles triangle is x. The length of the leg is x-5. The perimeter of the triangle is 17. Find x.
x=9
500
What is a converse?
If the conclusion is true then the hypothesis is true.
500
What does the theorem ITT state?
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
500
Using the image, can we say ∠A≅∠D? Explain in two sentences or less. Image.
Yes, using ITT
500
Given: YA≅BA,∠B≅∠Y Prove: AZ≅AC Image
Vertical angles at A, Triangles by ASA, AZ congruent AC by CPCTC
500
For what values of x and y are the triangles congruent by HL. Image.
x=2, y=1