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WorksheetsTriangle Congruence
Total questions: 40
Worksheet time: 28mins
Is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
Axiomatic System
Postulate
Theorems
Corollary
Determine whether each of the following suggests a point, a line or a plane:
a PINHOLE
(a)
It has no length, width, or space; occupies no space.
(a)
It has infinite length but no width and thickness.
(a)
It extends infinitely in two dimensions. No thickness.
(a)
Points that lie on the same line.
Noncollinear Points
Collinear Points
Coplanar Points
Intersection
Points that do not lie on the same plane.
Coplanar points
Noncollinear points
Intersection
Noncoplanar points
Two points determine exactly one line.
Corollary
Theorem
Line Postulate
Plane Postulate
It is a figure with three sides, three angles, and three vertices.
(a)
It means having the same shape and size,
Congruence
Equality
Inequality
Postulate
The side between two angles.
Included Side
Included Angle
Opposite Side
Opposite Angle
When the sides of an angle are the two sides of the triangle, then the angle
is said to be the _________ of the two sides.
Included Side
Included Angle
Opposite Side
Opposite Angle
If the two sides and an included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangles are congruent.
LEG-LEG (LL) CONGRUENCE THEOREM
SSS (Side-Side-Side) Congruence Postulate
SAS (Side – Angle – Side) Congruence Postulate
ASA (Angle-Side-Angle) Congruence Postulate
If the two angles and the included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent.
LEG-ANGLE (LA) CONGRUENCE THEOREM
SAS (Side – Angle – Side) Congruence Postulate
SSS (Side-Side-Side) Congruence Postulate
ASA (Angle-Side-Angle) Congruence Postulate
If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
HYPOTENUSE-ANGLE (HyA) CONGRUENCE THEOREM
LEG-ANGLE (LA) CONGRUENCE THEOREM
LEG-LEG (LL) CONGRUENCE THEOREM
HYPOTENUSE-LEG (HyL) CONGRUENCE THEOREM
If three sides of one triangle are congruent to the three
sides of another triangle, then the two triangles are
congruent.
SAS Congruence Postulate
SSS Congruence Postulate
LEG-LEG (LL) CONGRUENCE THEOREM
LEG-ANGLE (LA) CONGRUENCE THEOREM
This theorem states that when two triangles are congruent, then every corresponding part of one triangle is congruent to the other.
LL Congruence Theorem
HyA Congruence Theorem
CPCTC
ASA Congruence Postulate
Two triangles having the same angles and sides.
Congruent triangles
Corresponding parts
Corresponding angles
Corresponding sides
These are parts that match between two congruent triangles.
Congruent triangles
Corresponding angles
Corresponding parts
Corresponding sides
Sides with the same measurement in the pair of similar
triangles
Corresponding angles
Corresponding sides
Corresponding parts
Congruent triangles
Angles with the same measurement in the pair of similar
triangles
Corresponding parts
Corresponding sides
Congruent triangles
Corresponding angles
It is geometric term which definition is derived from the undefined terms.
Undefined Terms
Defined Terms
Postulates
Theorems
It is geometric term that is not precisely defined but generally accepted.
Undefined Terms
Defined Terms
Postulates
Theorems
It is a structure formed by undefined and defined objects and terms which are related by the set of axioms and is logical consequence such as theorems and corollaries.
Mathematical System
Mathematical Concept
Mathematical Equation
Mathematical Expression
If the legs of one right triangle are congruent to the legs of
another right triangle, then the two triangles are congruent.
CPCTC
SAS Congruence Postulate
LEG LEG (LL) CONGRUENCE THEOREM
HYPOTENUSE ANGLE (HyA) CONGRUENCE THEOREM
(a)
(a)
State if the two triangles are congruent. If they are, state how you know.
(a)
State if the two triangles are congruent. If they are, state how you know.
(a)
State if the two triangles are congruent. If they are, state how you know.
(a)
State if the two triangles are congruent. If they are, state how you know.
(a)
Write whether the given points are collinear or not collinear.
(a)
Write whether the given points are collinear or not collinear.
(a)
Write true or false.
Points T, U and V are collinear.
(a)
Write true or false.
Points P, R and U are collinear.
(a)
What does CPCTC stands for?
(a)
Which of the points found in the figure at the left are coplanar?
Points F, H, D, and E
Points F, H, B, and C
Points C, D, B, and F
Points A, F, G, and C
Which of the following statements is false?
Line AC lie in plane B.
Points A and B are collinear.
Points A, B and C lie in plane M.
Line AB and line CB intersect at line B.
The included side of ∠M and ∠MEP
(a)
the angle opposite PM
(a)
