Transcript Jeopardy Benchmark 1
Do Now • In your group, choose someone to fill each role • Spokesperson • Materials gatherer • Writer • Scorekeeper • Reminders: • Tutoring today • Turn in benchmark review Friday • Turn in Unit 2 Test corrections Friday • Ice Cream Party Competition • Auction on Friday
CPCTC CONGRUENCY SHORTCUTS CLASSIFYING TRIANGLES THEOREMS BASICS OF PROOFS
Team 1 0 © 2006 by Mr. Mayers Team 2 0 Team 3 0 Team 4 0
If Δ
ABC
≅
ΔDEF
, then which angle is congruent to
C?
F
Are the triangles congruent? Which shortcut tells you?
Yes, SAS
Classify this triangle by its sides
Scalene
What is the Triangle Sum Theorem? Use it to find the missing angle measure.
The sum of the angles in any triangle is 180 o , m What is the reflexive property? A geometric object is congruent to itself. (AB ≅ AB or Which triangle congruency is represented here? What does CPCTC stand for? Corresponding Parts of Congruent Triangles are Congruent Given that C is the midpoint of BE and that
Classify this triangle by its angles Do the lengths 9, 6, and 2 form a triangle? Vertical Angles are opposite angles from where 2 lines cross. Which triangle congruency shortcut is represented here? If Δ BCD ≅ ΔFGH , then which side is congruent to GH? Are the triangles congruent? Which shortcut tells you? Classify this triangle by angles 29 o , 61 o , 90 o State the Base Angle Theorem and use it to find the measure of If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. 54 o . Are these two triangles congruent? Why/ why not? Name the two triangles in this diagram that share a reflexive property at angle F. Name a non-marked piece of information that is congruent. BW ≅ MN, OW ≅ AN, or Are the triangles congruent? Which shortcut tells you? No, AAA C is congruent to B and D is congruent to E. What kind of triangles are these? Isosceles (and acute) What can serve as a counterexample to the conjecture below: “ If Miguel wants to prove two triangles are congruent, he must use ASA.” AAS, SSS, SAS, HL Fill in the following chart to complete the two-column proof. Reflexive vertical angle AAS CPCTC In order to prove that CB ≅ ZX, what do we have to prove first? ≅Δ Are the triangles congruent? Which shortcut tells you? What is the measure of any interior angle of an equilateral triangle? What do we call this type of triangle? o According to the triangle inequality theorem, if 6, 8, and x form a triangle, what are all the possible values for x? Write a proof. Construct a Two Column ProofSSS
Yes, AAS
Obtuse
No, 6+2 is not greater than 9.
What are vertical angles?
AAS
CD
Yes, AAS
Right
Name the steps to writing a good two column proof
ΔCBA
ZXY
No, SSA
60
, Equiangular
2