Math Flashcards

The learner should be able to understand the lessons thoroughly while lessening the confusion.

1
Q

In △DEF, what is the included side between ∠E to ∠D?

A

ED

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2
Q

Which system or structure consists of both defined and undefined terms, axioms or postulates, and theorems?

A

Mathematical System

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3
Q

What component of a mathematical system consists of a point, a line, and/or a plane?

A

Undefined terms

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4
Q

If the two sides and an included angle of one triangle are congruent correspondingly to the two sides and an included angle of another triangle, then the triangles are congruent by what postulate?

A

SAS

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5
Q

In △FUN, what angle is included between FU and NU?

A

∠U

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6
Q

What represents a point?
a. straight path
b. a flat surface
c. an exact location
d. intersecting paths

A

c. an exact location
OR
d. intersecting paths

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7
Q

A ray has only one endpoint. Is this statement true?

A

True.

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8
Q

What property is illustrated if x=x, then x is equal to itself x?

A

Reflexive

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9
Q

Which is a defined term?
a. Angle
b. Line
c. Plane
d. Point

A

a. Angle

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10
Q

Which will be the result of -2(x - y), if the Distributive property is applied?
a. 2x – 2y
b. -2x – 2y
c. 2x + y
d. -2x + 2y

A

d. -2x + 2y

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11
Q

If two figures are congruent, the following statements are true EXCEPT:
A. The perimeters of two figures are equal.
B. Their corresponding parts are congruent.
C. They have the same size and shape.
D. The sum of their interior angles is not equal.

A

D. The sum of their interior angles is not equal.

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12
Q

What property of congruence is illustrated in the statement?
If AB ≅ DE, EF ≅ DE then AB ≅ EF.

a. Symmetric
b. Transitive
c. Reflexive
d. Multiplication

A

b. Transitive

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13
Q

Which of the following does not illustrate an undefined term?

A. stars in the sky
B.. flat surface of a table
C. uncooked spaghetti noodles
D. office chair

A

D. office chair

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14
Q

Which pair of angles has a sum of exactly 90°?
a. Complementary Angles
b. Right Angle
c. Congruent Angles
d. Supplementary Angles

A

A. Complementary Angles

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15
Q

Given Δ𝑊𝐴𝑆 ≅ Δ𝑇𝐻𝐼.
If 𝑚∠𝑆𝑊𝐴 = 60 and 𝑚∠𝑆𝐴𝑊 = 45, what is 𝑚∠𝑇𝐼𝐻?
a. 60
b. 45
c. 30
d. 75

A

d. 75

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16
Q

If ∠𝐴 ≅ ∠𝐵 and 𝑚∠𝐴 = 50, what is 𝑚∠𝐵?
a. 40
b. 50
c. 130
d. 180

A

b. 50

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17
Q

In ΔABC, ∠A ≅ ∠B ≅ ∠C, AC = 5x, BC = x + 8 which of the following is the length of AB?
A. 10 B. 12
C. 13 D. 14

A

A. 10

18
Q

If the two angles and an included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent by__
A. SAS B. SSS
C. SAA D. ASA

A

D. ASA

19
Q

Given ΔJOY and ΔFUL where, JO ≅ FU, ∠J ≅ ∠F, and YJ ≅ LF. Which postulate or theorem can be used to prove ΔJOY ≅ ΔFUL?
A. SAS CP B. SAA CTh
C. SSS CP D. ASA CP

A

A. SAS CP

20
Q

If Δ ADU ≅ ΔVIN, which angle is congruent to ∠DAU?

A. ∠IVN B. ∠VIN
C.∠INV D. ∠NVI

A

A. ∠IVN

21
Q

Complete the sentence to make the statement true. “In an isosceles triangle _________
A. no two angles are congruent.
B. the base angles and the vertex angle are congruent.
C. one base and an acute angle are congruent.
D. the base angles are congruent.

A

D. the base angles are congruent.

22
Q

Sophia knows that in right triangles ΔROM and ΔNIL, RM and NL are the longest sides for each triangle. Which two pairs of sides are perpendicular in ΔROM and ΔNIL.
A. RO and OM / NI and IL
B. OM and MR / IL and LN
C. MR and RO / LN and NI
D. RO and LN / MR and IL

A

A. RO and OM / NI and IL

23
Q

Given the figure, ΔNCR ≅ ΔOCR. What is the measure of ∠N if ∠RCO = 25º and ∠R= 90º
a. 180º
b. 90º
c. 65º
d. 25º

A

c. 65º

24
Q

Which of the following correspondence is equivalent to ABC ↔ KLM?
A. ACB ↔ MKL
B. ACB ↔ KLM
C. BAC ↔ LKM
D. CBA ↔ MKL

A

C. BAC ↔ LKM

25
Q

Suppose XZ ≅ BZ, YZ ≅ AZ, ∠XYZ ≅ ∠BAZ, which of the following statement is true?

A. Δ ABZ ≅ Δ XYZ
B. Δ XYZ ≅ Δ BZA
C. Δ YZX ≅ Δ BAZ
D. Δ BAZ ≅ Δ XYZ

A

D. Δ BAZ ≅ Δ XYZ

26
Q

ABC ↔ KLM
Given the triangles above, which of the following belongs to the pairs of corresponding parts?

A. BC ≅ LM
B. AB ≅ LM
C. AB ≅ KM
D. AC ≅ LM

A

A. BC ≅ LM

27
Q

Which of the following is not a congruence postulate/theorem?
a. SSS
b. AAS
c. SSA
d. SAS

A

c. SSA

28
Q

f Δ QRZ ≅ Δ XYZ, which segment is congruent to ZR?
a. XY
b. ZX
c. YZ
d. ZY

A

d. ZY

29
Q

If Δ NEW ≅ Δ OLD, then Δ DLO is congruent to?
Δ WNE
Δ WEN
Δ EWN
Δ NWE

A

Δ WEN

30
Q

Given the information is shown marked on the diagrams below. To prove Δ STU ≅ Δ VTU by ASA, what additional information is needed?
A. SU ≅ VU
B. UT ≅ UT
C. ∠ TSU ≅ ∠ TVU
D. ∠ SUT ≅ ∠ VUT

A

C. ∠ TSU ≅ ∠ TVU

31
Q

Given the information is shown marked on the diagrams below. To prove Δ JIK ≅ Δ BAC by ASA, what additional information is needed?
A. IJ ≅ AB
B. IK ≅ AC
C. ∠ IJK ≅ ∠ ABC
D. ∠ JKI ≅ ∠ BCA

A

C. ∠ IJK ≅ ∠ ABC

32
Q

Two triangles are congruent _______________.
A. if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
B. if their corresponding sides are equal in length, but their corresponding angles are unequal in measure.
C. if their sides are equal in length, and their angles are equal in measure.
D. if they have the same shape only.

A

A. if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

33
Q

If AD bisects ∠CAB, and ∠ CAB measures 70°, what is the measure of ∠1?
A. 35°
B. 45°
C. 60°
D. 70°

A

A. 35°

34
Q

Which states that if two angles of a triangle are congruent, then the sides opposite these angles are congruent?
A. Isosceles Triangle Theorem
B. Converse of the Isosceles Triangle Theorem
C. Perpendicular Bisector Theorem
D. Angle Bisector Theorem

A

B.Converse
Isosceles Triangle Theorem

35
Q

Which is a line or ray that divides an angle into two equal angles?

A. perpendicular bisector
B. line bisector
C. angle bisector
D. ray bisector

A

C. angle bisector

36
Q

Which is the intersection or the common point of the perpendicular bisectors of a triangle?
A. circumcenter
B. incenter
B. orthocenter
D. inscribed

A

A. circumcenter

37
Q

Which is the intersection or the common point of the angle bisectors of a triangle?
A. circumcenter
B. incenter
C. orthocenter
D. inscribed

A

B. incenter

38
Q

Which of the following statements is NOT true about an isosceles triangle?

A. An isosceles triangle is a triangle that has at least two sides that are congruent.
B. The congruent sides of an isosceles triangle are called the legs.
C. The angles opposite the congruent sides are the base angles and they are not congruent.
D. The angle included by the legs of the isosceles triangle is called the vertex angle.

A

C. The angles opposite the congruent sides are the base angles and they are not congruent.

39
Q

Which of the following statements is true about the Isosceles Triangle Theorem (ITT)?

A. If two angles of a triangle are congruent, then the sides opposite these angles are congruent.
B. If two angles of a triangle are congruent, then the sides opposite these angles are not congruent.
C. If two sides of a triangle are congruent, then the angles opposite these sides are not congruent.
D. If two sides of a triangle are congruent, then the angles opposite these sides are congruent.

A

D. If two sides of a triangle are congruent, then the angles opposite these sides are congruent.

40
Q

Which of the following statements is true about the Converse of the Isosceles Triangle Theorem (CITT)?
A. If two angles of a triangle are congruent, then the sides opposite these angles are congruent.
B. If two angles of a triangle are congruent, then the sides opposite these angles are not congruent.
C. If two sides of a triangle are congruent, then the angles opposite these sides are not congruent.
D. If two sides of a triangle are congruent, then the angles opposite these sides are congruent.

A

A. If two angles of a triangle are congruent, then the sides opposite these angles are congruent.

41
Q

If the base angle of an isosceles triangle is 70°, what is the measure of its vertex angle?

180°
140°
70°
40°

A

40°