Math Level 2 Difficult Terms (Part A)

Question 1

Deductive Reasoning

Answer 1

Means we can draw a conclusion based on at least two true statements, or premises. Because the statements are true, we know that the conclusion we make based on those two statements is also true.

Question 2

Conjecture

Answer 2

conjectureis a statement believed to be true based on observations.

Looking at the following numbers: 2, 4, 6, 8, 10, 12. What would be the next number? Most likely, you are thinking 14.

Question 3

Inductive Reasoning

Answer 3

Inductive reasoning is drawing conclusions from evidence (observing patterns and identifying properties in specific examples)

Question 4

Pattern Rule

Answer 4

Pattern Ruleis a sequence of numbers that has been created based on a formula orrule

Question 5

Prime Number

Answer 5

Aprime numberis any positive number that has just two factors: 1 and itself.

Question 6

Perfect square

Answer 6

perfect squares, because we can arrange those numbers of items into squares.

Question 7

Coefficent

Answer 7

Coefficientsare the multiplicative numbers located directly in front of a variable, such asxory. If a number in an equation is not connected with a variable, that number is not considered a coefficient. Instead, it is called aconstant.

Coefficients can be positive or negative and real or imaginary, as well as decimals, fractions, or whole numbers.

Question 8

Counter example0

Answer 8

A counter example disproves a conjecture

Question 9

Transversal

Answer 9

Atransversalis two parallel lines intersected by a third line at an angle. The third line is referred to as the transversal line. When this line happens, several angles are created.

You can use these angles to find the measurements of other angles.

Question 10

Corresponding Angles

Answer 10

Corresponding anglesare formed when a transversal passes through two lines

Question 11

Congruent

Answer 11

For shapes to be congruent they must be the same shape and size. You may have to turn one of the shapes, but if they match exactly, then they are congruent

Question 12

Alternate Interior angles

Answer 12

Alternate interior anglesare formed when a transversal passes through two lines. Theanglesthat are formed onoppositesides of the transversal andinsidethe two lines arealternate interior angles.

Question 13

Alternate Exterior Angles

Answer 13

When you have two lines and a third line crossing through them, the pairs of angles that are outside both lines and on alternating sides of the third line are youralternate exterior angles.

Question 14

Interior Angle

Answer 14

Aninterior angleis an angle inside a shape. Since triangles have three angles, they have three interior angles.

Question 15

Supplementary Angles

Answer 15

If the measures of two angles add up to be 180°, then the two angles are supplementary angles

Question 16

Proof

Answer 16

Amathematical proofshows a statement to be true using definitions, theorems, and postulates. Just as with a court case, no assumptions can be made in a mathematical proof. Every step in the logical sequence must be proven.

Mathematical proofs usedeductive reasoning, where a conclusion is drawn from multiple premises. The premises in the proof are called statements.