Worksheets3rd Quarterly Exam for Grade 8 SY 2023 - 2024
Total questions: 38
Worksheet time: 20mins
What are the undefined terms in Geometry?
Axioms/Postulates and Theorems
Bisector, Betweenness and Midpoint
Point, Line and Plane
Intersecting and Parallel lines
Which of the following does NOT describe a mathematical system?
Postulates /Axioms
Theorems
Parallel lines
Undefined and defined terms
Which of the following is a subset of a line with two endpoints?
Ray
Line segment
Midpoint
Angle
What do you call a statement that has become a rule because it has been proven to be true?
Definition
Theorems
Axiom
Postulate
Which mathematical system does NOT require a definition but it is used as a basis in defining other terms?
Defined terms
Postulate
Theorems
Undefined terms
State what additional information is required to know that the triangles are congruent for the reason given.
ASA
XV≅JH
VW≅HW
WX≅WJ or XV≅JH
VW≅HW or WX≅WJ
State what additional information is required to know that the triangles are congruent for the reason given.
SAS
TU≅GU
∠TUV≅∠GUI
UV≅UI
VT≅IG
State what additional information is required to know that the triangles are congruent for the reason given.
SSS
∠C≅∠G or ∠D≅∠H
∠C≅∠G
DE≅HI
EC≅IG
State what additional information is required to know that the triangles are congruent for the reason given.
SAA
GI≅GI
FI≅HI
∠GIF≅∠GIH
GF≅GH
Determine which triangle congruence postulate is appropriate to prove that the pairs of triangles are congruent.
SSS
SAS
ASA
SAA
Determine which triangle congruence postulate is appropriate to prove that the pairs of triangles are congruent.
SSS
SAS
ASA
SAA
Determine which triangle congruence postulate is appropriate to prove that the pairs of triangles are congruent.
SSS
SAS
ASA
SAA
Determine which triangle congruence postulate is appropriate to prove that the pairs of triangles are congruent.
SSS
SAS
ASA
SAA
State what additional information is required to know that the triangles are congruent for the reason given.
HyL
DE≅WV
DE≅XV
FE≅WX
DF≅WV
State what additional information is required to know that the triangles are congruent for the reason given.
HyA
VU≅ED
VC≅EC
∠V≅∠E
∠U≅∠D
State what additional information is required to know that the triangles are congruent for the reason given.
LL
CB≅XW
AC≅XV
AB≅VW
∠C≅∠X
State what additional information is required to know that the triangles are congruent for the reason given.
LA
CB≅IJ
BD≅JD
CD≅ID
∠C≅∠I
Determine which right triangle congruence postulate is appropriate to prove that the pairs of right triangles are congruent.
HyL
HyA
LL
LA
Determine which right triangle congruence postulate is appropriate to prove that the pairs of right triangles are congruent.
HyL
HyA
LL
LA
Determine which right triangle congruence postulate is appropriate to prove that the pairs of right triangles are congruent.
HyL
HyA
LL
LA
Determine which right triangle congruence postulate is appropriate to prove that the pairs of right triangles are congruent.
HyL
HyA
LL
LA
If two triangles have two corresponding sides and the included angle that are congruent, which criterion would you use to prove the triangles congruent?
Hypotenuse-Leg (HyL)
Leg-Angle (LA)
Side-Side-Side (SSS)
Side-Angle-Side (SAS)
If two triangles have two corresponding angles and an included side between them that are congruent, which criterion would you use to prove the triangles congruent?
Leg-Leg (LL)
Side-Angle-Side (SAS)
Hypotenuse-Angle (HyA)
Angle-Side-Angle (ASA)
If two triangles have three corresponding sides that are congruent, which criterion would you use to prove the triangles congruent?
Hypotenuse-Leg (HyL)
Leg-Angle (LA)
Side-Side-Side (SSS)
Angle-Side-Angle (ASA)
Which criterion states that if two triangles have two angles and a non-included side equal, they are congruent?
Side-Side-Side (SSS)
Side-Angle-Angle (SAA)
Side-Angle-Side (SAS)
Leg-Leg (LL)
If two triangles have a hypotenuse and a leg equal, which criterion would you use to prove the triangles congruent?
Side-Side-Side (SSS)
Hypotenuse-Leg (HyL)
Side-Angle-Side (SAS)
Leg-Angle (LA)
Which criterion states that if two right triangles have a congruent hypotenuse and a congruent acute angle, they are congruent?
Hypotenuse-Leg (HyL)
Leg-Leg (LL)
Hypotenuse-Angle (HyA)
Angle-Side-Angle (ASA)
What criterion states that if two right triangles have two congruent legs, they are congruent?
Side-Angle-Side (SAS)
Hypotenuse-Leg (HyL)
Leg-Leg (LL)
Angle-Side-Angle (ASA)
What criterion states that if two right triangles have one pair of congruent legs and a congruent acute angle formed by these legs, they are congruent?
Side-Side-Side (SSS)
Leg-Angle (LA)
Hypotenuse-Leg (HyL)
Angle-Side-Angle (ASA)
In a pair of intersecting lines, what are the angles formed opposite each other known as?
Adjacent angles
Complementary angles
Supplementary angles
Vertical angles
In a line segment, the point that divides the segment into two equal parts is called the:
Vertex
Endpoint
Midpoint
Intersection
When two parallel lines are intersected by a transversal, the pairs of angles that occupy corresponding positions are called:
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
When two parallel lines are intersected by a transversal, the pairs of angles that are on opposite sides of the transversal and inside the parallel lines are known as:
Corresponding Angles
Supplementary Angles
Alternate Interior Angles
Alternate Exterior Angles
When two parallel lines are intersected by a transversal, the pairs of angles that are on opposite sides of the transversal and outside the parallel lines are known as:
Corresponding Angles
Supplementary Angles
Alternate Interior Angles
Alternate Exterior Angles
When two parallel lines are intersected by a transversal, the pairs of angles that are on the same side of the transversal and inside the parallel lines are known as:
Corresponding Angles
Supplementary Angles
Alternate Interior Angles
Same-Side Interior Angles
When two parallel lines are intersected by a transversal, the pairs of angles that are on the same side of the transversal and outside the parallel lines are known as:
Corresponding Angles
Supplementary Angles
Alternate Exterior Angles
Same-Side Exterior Angles
What is the definition of an angle bisector?
A line segment that divides an angle into two congruent angles.
A line that intersects two other lines at a 90-degree angle.
A line that passes through the midpoint of a line segment.
A line, ray, or segment that divides an angle into two equal angles.
What is the characteristic of perpendicular lines?
They have the same slope.
They intersect at a 90-degree angle.
They have different y-intercepts.
They lie on the same plane.
