Math

Question 1

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

Answer 1

ED

Question 2

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

Answer 2

Mathematical System

Question 3

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

Answer 3

Undefined terms

Question 4

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?

Answer 4

SAS

Question 5

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

Answer 5

∠U

Question 6

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

Answer 6

c. an exact location
OR
d. intersecting paths

Question 7

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

Answer 7

True.

Question 8

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

Answer 8

Reflexive

Question 9

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

Answer 9

a. Angle

Question 10

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

Answer 10

d. -2x + 2y

Question 11

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.

Answer 11

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

Question 12

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

Answer 12

b. Transitive

Question 13

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

Answer 13

D. office chair

Question 14

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

Answer 14

A. Complementary Angles

Question 15

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

Answer 15

d. 75

Question 16

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

Answer 16

b. 50

Question 17

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

Answer 17

A. 10

Question 18

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

Answer 18

D. ASA

Question 19

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

Answer 19

A. SAS CP

Question 20

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

A. ∠IVN B. ∠VIN
C.∠INV D. ∠NVI

Answer 20

A. ∠IVN

Question 21

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.

Answer 21

D. the base angles are congruent.

Question 22

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

Answer 22

A. RO and OM / NI and IL

Question 23

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

Answer 23

c. 65º

Question 24

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

Answer 24

C. BAC ↔ LKM

Question 25

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

Answer 25

D. Δ BAZ ≅ Δ XYZ

Question 26

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

Answer 26

A. BC ≅ LM

Question 27

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

Answer 27

c. SSA

Question 28

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

Answer 28

d. ZY

Question 29

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

Answer 29

Δ WEN

Question 30

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

Answer 30

C. ∠ TSU ≅ ∠ TVU

Question 31

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

Answer 31

C. ∠ IJK ≅ ∠ ABC

Question 32

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.

Answer 32

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

Question 33

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

Answer 33

A. 35°

Question 34

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

Answer 34

B.Converse Isosceles Triangle Theorem

Question 35

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

Answer 35

C. angle bisector

Question 36

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

Answer 36

A. circumcenter

Question 37

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

Answer 37

B. incenter

Question 38

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.

Answer 38

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

Question 39

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.

Answer 39

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

Question 40

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.

Answer 40

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

Question 41

If the base angle of an isosceles triangle is 70°, what is the measure of its vertex angle? 180° 140° 70° 40°

Answer 41

40°