Geometry 4

Question 1

Triangle Sum Theorem

Answer 1

(4.1)- The sum of the measures of all the angles in a triangle will equal 180

Question 2

How can you use the Triangle Sum Theorem and the Exterior Angle Sum Theorem

Answer 2

When finding out the measures of the angles in a triangles, especially when you are given two others

Question 3

Exterior Angle Theorem

Answer 3

(4.2)- The measure of an exterior angle of a triangle is the sum to of the measures of the two remote interior angles

Question 4

What is a Collary

Answer 4

A collary is a theorem directly proved by another

Question 5

What are the Collieries of the Triangle Sum theorem

Answer 5

-The Acute angles of a right triangle are complementary

-There can be at most one obtuse angle in a triangle

Question 6

Definition of congruent polygons (theres two)

Answer 6

-Two polygons are congruent if and only if a rigid transformation (or set of rigid transformations) maps one onto the other
-Two polygons are congruent if and only if all of their corresponding parts are congruent

Question 7

In a right triangle, what is the relationship of the other two angles

Answer 7

They will add up to equal 90

Question 8

How many obtuse angles can be in a triangle

Answer 8

One

Question 9

4.3 Third Angles Theorem

Answer 9

If two out of three angles in two triangles are congruent then third angle is to

Question 10

4.4 What are the properties of triangle congruence?

Answer 10

Reflexive, Symmetric, and Transitive

Question 11

Which of SSS, SS, SAS, SA, AAA, and AA are necessary to find the other A and S

Answer 11

SSS and SAS

Question 12

What are the most important steps to solving a geometry problem?

Answer 12

DRAW A PICTURE
ADD INFORMATION AS IT COMES
REMEMBER THEOREMS/POSTTULATEs

Question 13

If angle A corresponds to angle C, the corresponding parts have to be written as AB=CD (T or F)

Answer 13

FALSE!
When using congruence it should be written as Ab is congruent to CD, but when you are just using distances it doesn’t matter!

Question 14

What are the Triangle congruence theorems?

Answer 14

SSS, SAS, ASA, AAS

Question 15

What are the right triangle congruence theorems?

Answer 15

LL, LH, LA, HA

Question 16

Whats the difference between using a right angle congruence theorem and it’s matching triangle congruence theorem

Answer 16

The right triangle congruence theorems are like a short cut, you don’t need to mention that the right angles are congruent to use them.

Question 17

What triangle has no equal sides, two equal sides, and three equal sides?

Answer 17

Scalene, isosceles, equilateral

Question 18

What are the angle measures of an equilateral triangle?

Answer 18

60

Question 19

Are the base angles in an isosceles triangle equal?

Answer 19

yes they are.

Question 20

What are the properties of an equilateral triangle

Answer 20

The legs are congruent, the angle not opposite to either leg is the vertex, the angles that are opposite to the legs are the base angles

Question 21

4.10 Isosceles triangle theorem

Answer 21

The base angles in an isosceles triangles are congruent

Question 22

4.3 properties of an equilateral triangle

Answer 22

a triangle is equilateral if an only if its equal-angular

Question 23

4.4 properties of an equilateral triangle

Answer 23

each angle of an equilateral triangle measures 60