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Congruent Triangles Ch 4
Study Questions for the test
27
Mathematics
10th Grade
11/06/2012

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Cards

Term
What is an Acute triangle?
Definition

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a triangle where all angles in the triangle are acute

Term
What is an Obtuse triangle?
Definition

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a triangle where one angle is obtuse

Term
What is a Right triangle?
Definition

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a triangle where one angle is right.

Term
What is a Scalene triangle?
Definition

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no two sides are congruent

Term
What is an Isosceles triangle?
Definition

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at least 2 sides are congruent

Term
what is an Equilateral triangle?
Definition

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All sides are congruent

Term
What is an Equiangular triangle
Definition

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all angles are congruent

Term
All angles in a triangle add to be 180 degrees. What is the name of this Theorem?
Definition
The angle sum theorem!
Term
What is the third angle theorem?
Definition

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if two angles in a triangle are congruent to another two angles in a triangle, then the 3rd angles will be congruent.

Term
What is the exterior angle theorem?
Definition

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The sum of the two remote interior angles is the measure of the exterior angle.

Term
The acute angles of a right triangle are ___________?
Definition
complementary
Term
What does CPCTC stand for?
Definition

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Corresponding parts of congruent triangles are congruent

Term
What are the 3 congruent transformations?
Definition
Slide, Flip, Turn
Term
What does SSS congruence mean? Draw a picture of 2 congruent triangles using SSS.
Definition

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side-side-side

Term
What does SAS congruence mean? Draw a picture of 2 congruent triangles using SAS.
Definition

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side-angle-side

Term
What does ASA congruence mean? Draw a picture of 2 congruent triangles using ASA.
Definition

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angle-side-angle

Term
What does AAS congruence mean? Draw a picture of 2 congruent triangles using AAS.
Definition

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angle-angle-side

Term
What are the 4 ways to prove congruent triangles?
Definition
SSS, SAS, ASA, AAS
Term
What is the Isosceles Triangle Thm?
Definition

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If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent.

Term
What is the Converse Isosceles Triangle Thm?
Definition

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If 2 anlges of a triangle are congruent, then the sides opposite those angles are congruent.

Term
A triangle is equilateral iff it is ____________?
Definition

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equiangular

Term
Each measure of an equilateral triangle is.....
Definition

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60 degrees

Term
Coordinate Proof
Definition

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placing a triangle in the coordinate plane with once vertex at (0,0)

Term

Find the measure of angles x and y:

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Definition

x=30 degrees

y=20 degrees

Term

Identify the congruent triangles:

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Definition
example: ΔCBA≈ΔFED
Term

Write a two column proof: 

Given: BE bisects DA and <BAC≈<EDC

Prove: ΔCBA≈ΔCED

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Definition
hint: vertical angles
Term

Find x:

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Definition

3x-10=25+(x+15)

2x=45

x=22.5

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