Theorems And Postulates

Question 1

What is AA~?

Answer 1

Angle-angle similarity

Question 2

What is SSS~

Answer 2

Side-side-side similarity

Question 3

What is SAS~?

Answer 3

Side-angle-side similarity

Question 4

What are the three ways to prove similarity?

Answer 4

SAS~, AA~, SSS~

Question 5

What is triangle mid-segment theorem?

Answer 5

If a segment joins the midpoints of two sides of a triangle then the segment is parallel and half as long as the base of the triangle.

Question 6

What is triangle proportionality theorem?

Answer 6

If a line is parallel to one side of a triangle then it divides the sides into segments of proportional lengths.

Question 7

What is SSS?

Answer 7

Side-side-side congruence postulate

Question 8

What is SAS?

Answer 8

Side-(included) angle-side congruence postulate

Question 9

What is ASA?

Answer 9

Angle-(included) side- angle congruence postulate

Question 10

What is AAS?

Answer 10

Angle-angle-side congruence theorem

Question 11

What is HL?

Answer 11

Hypotenuse-leg congruence theorem

Question 12

What are the 5 ways to prove congruency?

Answer 12

SSS, SAS, ASA, AAS, HL

Question 13

What does CPCTC stand for?

Answer 13

Corresponding Parts of Congruent Triangles are Congruent

Question 14

What is substitution property?

Answer 14

If A=B then A may be substituted by B in an expression (SMALL PART)

Question 15

What is transitive property?

Answer 15

If A=B and B=C then A=C (BIG JUMP)

Question 16

What is reflexive property?

Answer 16

A=A

Question 17

What is vertical angles theorem?

Answer 17

If two angles are diagonal from each other, they are congruent

Question 18

What is the linear pair theorem?

Answer 18

If two angles form a linear pair, they’re supplementary

Question 19

What is congruent supplements theorem?

Answer 19

If two angles are supplementary to the same angle, they are congruent.

Question 20

What is congruent complements theorem?

Answer 20

If A+B= 90 and C+B=90, A=C

Question 21

What is the triangle sum theorem?

Answer 21

The sum of the measures of the angles of a triangle is 180 degrees

Question 22

What is the exterior angle theorem?

Answer 22

An exterior angle is always equal to the sum of the two non-adjacent interior angles

Question 23

What is the triangle inequality theorem?

Answer 23

A triangle can exist if the sum of the two smallest sides is greater than the largest side.

Question 24

What is the perpendicular bisector theorem?

Answer 24

If a point lies on the perpendicular bisector of a segment, it is equidistant from the endpoints of the segment.

Question 25

What is the angle bisector theorem?

Answer 25

If a point is on an angle bisector it’s equidistant to the sides of the angle.

Question 26

What is the angle addition postulate?

Answer 26

Only is BD is in the interior of ABC, <ABD+<CBD = <ABC

Question 27

What is the common angle theorem?

Answer 27

A shared part of two angles will mean the remaining part is equivalent to the other.

Question 28

What is the point postulate?

Answer 28

Through any two points, there is exactly one line. An infinite number of lines will go through a single point.

Question 29

What is the line postulate?

Answer 29

If two lines intersect, it’ll be at exactly one point.

Question 30

What is the first plane postulate?

Answer 30

Through any three collinear points, there is an infinite number of planes.

Question 31

What is the second plane postulate?

Answer 31

3 non-collinear points will define a single plane.

Question 32

What is the third plane postulate?

Answer 32

If two planes intersect, it will be at exactly one line.

Question 33

Wildcard!!

Answer 33

Do 30 jumping jacks

Question 34

Wildcard!!

Answer 34

Run for 10 minutes