Worksheets8FM Third Term Test review
Total questions: 30
Worksheet time: 39mins
If the conditional is true, which of the following is also true?
Conditional only
Converse as well
Inverse too
Contrapositive
Which of the following is true about biconditional statements?
If the conditional is true, then the converse is also true.
If the inverse is true, then the contrapositive is also true.
If the conditional is true, then the inverse is also true.
If the converse is true, then the contrapositive is also true.
Which of the following is not a triangle congruence?
SSS
SAS
ASA
AAA
Which of the following can be a counterexample of the given statement: "If x is an integer, then x2 is a positive integer."
-1
0
1
1.5
Which of the following is a true statement?
A: If two lines are perpendicular, then they form a right angle.
B: If two lines form a right angle, then they are perpendicular.
C: Two lines are perpendicular iff they form a right angle.
If two lines are perpendicular, then they form a right angle.
If two lines form a right angle, then they are perpendicular.
Two lines are perpendicular iff they form a right angle.
Two lines form a right angle iff they are perpendicular.
What can you conclude about the given facts?
Fact #1: x > y
Fact #2: y > 17
therefore, x > 17 by transitive axiom
therefore, x < 17 by transitive axiom
therefore, x > 17 by associative axiom
therefore, x < 17 by associative axiom
Which of the following is NOT a counterexample for SSA Triangle congruence?
Which of the following is true about AAA triangles?
Two triangles are congruent.
Two triangles are in the same size because they all have congruent angles.
Two triangles produce similar but not necessary the same.
AAA can be a theorem for triangle congruence.
The figure shows that the two lines intersect. The angles formed by two intersecting lines are vertical angles. If angle A is 100 degrees, then angle X is also 100 degrees. What can you conclude about angle A and angle X?
∠A ∼ ∠X
∠A ≅ ∠X
∠A ≠ ∠X
∠A ∴ ∠X
What is SAS theorem?
Check all that applies.
The angle is included between the two sides.
It is a theorem for triangle congruence.
It is the same as SSA theorem.
For as long as there are two sides and one angle given.
Which of the following can not be considered as part of the proof for triangle congruence?
∠ACB ≅ ∠DCE
AC ≅ CE
CB ≅ DC
AB ≅ DE
∠ABC ≅ ∠CDE
From the figure, there are 4 points on the line, E, D, U and C. Which of the following is correct?
ED + DU + UC = EC by segment addition postulate.
ED = 2, DU = 7, and UC = 10 by distance postulate
line EC has four points - E, D, U and C by Postulate #2
E, D, U and C are not collinear points.
What is the conditional statement of the given?
"Philippines is in Asia."
If Asia is a country, then it is the Philippines.
If the country is in Asia, then it is the Philippines.
If Philippines is a country, then it is Asia.
If the country is the Philippines, then it is located in Asia.
By associative axiom, which of the following is true about (x√x)√y?
x√(xy)
(x√x)y
x√y
√(xx)y
Given the equation, 20 = 3x + 5, which of the following is the correct order in order to arrive at x = 5?
A : Multiplicative inverse axiom
B: Additive inverse axiom
C: Symmetric Axiom
D: Reflexive Axiom
A - B - C
A - B - D
B - A - C
B - A - D
B - D - C
The mathematical statement applicable using segment addition is EX + XD = ED. Rearranging the order of the points (D - E - X) can the mathematical statement still hold?
No, it should be ED + EX = DX.
Yes, it is still the same letters.
Yes, but it should be DE + EX = DX.
No, but the letters are still the same.
If the conditional statement is, "If the quadrilateral has a pair of parallel sides, then it is a parallelogram." What is the contrapositive statement?
If the quadrilateral has a pair of parallel sides, then it is a parallelogram.
If the quadrilateral is a parallelogram, then it has a pair of parallel sides.
If the quadrilateral does not have a pair of parallel sides, then it is not a parallelogram.
If the quadrilateral is not a parallelogram, then it does not have a pair of parallel sides.
If the conditional statement is, "If the quadrilateral has a pair of parallel sides, then it is a parallelogram." What is the inverse statement?
If the quadrilateral has a pair of parallel sides, then it is a parallelogram.
If the quadrilateral is a parallelogram, then it has a pair of parallel sides.
If the quadrilateral does not have a pair of parallel sides, then it is not a parallelogram.
If the quadrilateral is not a parallelogram, then it does not have a pair of parallel sides.
If the conditional statement is, "If the quadrilateral has a pair of parallel sides, then it is a parallelogram." What is the converse statement?
If the quadrilateral has a pair of parallel sides, then it is a parallelogram.
If the quadrilateral is a parallelogram, then it has a pair of parallel sides.
If the quadrilateral does not have a pair of parallel sides, then it is not a parallelogram.
If the quadrilateral is not a parallelogram, then it does not have a pair of parallel sides.
Given two statements, what is the true statement in symbols?
A→B
B→A
A↔B
The statements are false.
What theorem can be used if the conclusion is about the two triangles being congruent?
SAS
ASA
AAS
SSS
What theorem can be used if the conclusion is about the two triangles being congruent?
SSS
SAS
ASA
AAS
Assuming that the two triangles are congruent, if m∠ACB = 78o, what is m∠DCE?
78o
102o
Not applicable
Given trapezoid ABCD where ∆DAB ≅ ∆CBA.
Which of the following statements is true based on the given information?
BD ≅ CD
DA ≅ DC
∠BCE ≅ ∠DAB
∠ACB ≅ ∠BDA
Given information is shown marked on the diagrams.To prove that ΔACB and ΔDFE are congruent by SAS, what additional information is needed?
EF ≅ BC
DE ≅ AB
∠DEF ≅ ∠ABC
∠DFE ≅ ∠ACB
Suppose you reason as follows: If I spend 15 hours per week studying research methods, I will earn an A in the course. I will study research methods at least 15 hours per week. Therefore, I will earn an A in the course. What type(s) of reasoning is this?
Deductive
Inductive
Both Deductive and Inductive
Neither Deductive nor Inductive
Conjecturing is what type of reasoning?
Deductive
Inductive
Both Deductive and Inductive
Neither Deductive nor Inductive
Consider the following statements:
1. All clarinet players are musicians
2. Fred is a clarinet player
Which of the following is a conclusion which can be reached from the statements?
All clarinet players are named Fred.
All musicians are clarinet players.
Fred is a musician
Fred is a clarinet player
Terrence notices a pattern developing in the numbers shown. Which of the following is a conjecture Terrence could propose based from the pattern?
One more than the square of a prime number is an even number.
One more than the square of a prime number is a multiple of 5.
One more than the square of an odd number is an even number.
One more than the square of an odd number is a multiple of 5.
All of George and Ava's sons have brown eyes and all of their daughters have blue eyes. They know from the ultrasound their new baby will be a boy. George and Ava conclude that their new son will have brown eyes. Which statement below is correct?
The conclusion is true, since it is based from inductive reasoning.
The conclusion may be false, since it is based from inductive reasoning.
The conclusion is true, since it is based from deductive reasoning.
The conclusion may be false, since it is based from deductive reasoning.
