3rd Monthly Test

Question 1

method of organizing a logical argument in a geometric proof or mathematical proof.

Answer 1

Two - Column Proof

Question 2

contains a list of statements

Answer 2

Left column

Question 3

provides the corresponding reasons or justifications for each statement.

Answer 3

Right column

Question 4

statement of the facts given to be true

Answer 4

Given

Question 5

a statement of the conclusion

Answer 5

Prove

Question 5

an illustration that shows the given information

Answer 5

Diagram

Question 6

provided reasons or justifications

Answer 6

Reasons

Question 6

numbered sequentially statements that are written on the left column which must be true to prove the conclusion

Answer 6

Statements

Question 7

a = a

Answer 7

Reflexive Property

Question 7

If a = b, then b = a

Answer 7

Symmetric Property

Question 8

If a = b and b = c, then a = c.

Answer 8

Transitive Property

Question 9

If a = b, then a and b can replace each other

Answer 9

Substitution Property

Question 10

If a = b, then a + c = b + c.

Answer 10

Addition Property of Equality

Question 11

If a = b, then a - c = b - c.

Answer 11

Subtraction Property of Equality

Question 12

If a = b, then a * c = b * c

Answer 12

Multiplication Property of Equality

Question 12

Addition: a + b = b + a

Multiplication: a * b = b * a

Answer 12

Commutative Property

Question 13

If a * (b + c) = a * b + a * c.

Answer 13

Distributive Property

Question 13

If a = b and c ≠ 0, then a / c = b / c.

Answer 13

Division Property of Equality

Question 14

Addition: (a + b) + c = a + (b + c).

Multiplication: (a * b) * c = a * (b * c)

Answer 14

Associative Property

Question 15

a(b + c) = ab + ac

Answer 15

Distributive Property

Question 16

basic geometric shape that consists of three sides and three angles

Answer 16

Triangle

Question 17

No equal Sides

Answer 17

Scalene

Question 18

Two sides and angles are equal

Answer 18

Isosceles

Question 19

All sides and angles are equal

Answer 19

Equilateral

Question 20

Triangles that are classified according to their sides are called?

Answer 20

Scalene, Isosceles, Equilateral Triangles

Question 21

Triangles are also classified according to their angles, They are called?

Answer 21

Right, Obtuse, Acute, Equiangular Triangles.

Question 22

A type of triangle that has one of its angles equal to 90 degrees

Answer 22

Right

Question 23

triangle with one obtuse angle(more than 90º, less than 180º) and two acute angles.

Answer 23

Obtuse

Question 24

All sides and angles are equal.

Answer 24

Equiangular

Question 25

triangle that has three acute (more than 0º, less than 90º) angles.

Answer 25

Acute

Question 25

It is a theorem in geometry that states if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Answer 25

True

Question 26

It states that if THREE sides of one triangle are congruent to one corresponding side of another triangle, then the two triangles are congruent.

Answer 26

SSS Postulate

Question 26

It states that if TWO ANGLES and a NON-INCLUDED side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, then the two triangles are congruent.

Answer 26

AAS Theorems

Question 26

It states that if TWO ANGLES and the included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the two triangles are congruent.

Answer 26

ASA Postulate

Question 27

It states that if TWO SIDES and the included angle of ONE triangle are congruent to the corresponding two sides and included angle of another triangle, then the two triangles are congruent.

Answer 27

SAS Postulate

Question 28

is a line, segment, or ray that cuts another line segment in two equal parts at a right angle.

Answer 28

Perpendicular Bisector