Triangles Properties 3

Triangles Properties 3

by Celis Llambi

Multiple Choice

Find the missing angle measure.

• 150º

• 180º

• 30º

• 110º

Multiple Choice

Find the missing angle measure.

• 85º

• 90º

• 180º

• 120º

Multiple Choice

Find the missing angle measure

• 180º

• 185º

• 95º

• 140º

Multiple Choice

Find the missing angle measure.

• 40º

• 90º

• 130º

• 50º

Multiple Choice

Find the value of x.

• x=4.3

• x=11

• x=2.9

• x=2

Multiple Choice

Find the value of x.

• x= -7

• x=7

• x=4

• x=13

Multiple Choice

Find the value of x.

• x=6

• x= -6

• x= -8

• x =8

Multiple Choice

Find the missing angle.

• 180º

• 58º

• 85º

• 31º

Multiple Select

Classify the triangle by angles. and sides

• Right

• Obtuse

• Acute

• Scalene

• None of the above

Multiple Select

Classify the triangle by angles and sides.

• Right

• Obtuse

• Acute

• Scalene

• None of the above

Multiple Select

Classify the triangle by sides and angles.

• Scalene

• Isosceles

• Equilateral

• Obtuse

• None of the above

Multiple Choice

Classify the triangle by sides.

• Scalene

• Isosceles

• Equilateral

• Acute

• None of the above

Multiple Choice

An _____ angle of a triangle is equal to the sum of its interior opposite angles.

• Exterior angle

• Interior angle

• Adjacent angle

• Congruent angle

Multiple Choice

The total measure of the three angles of a triangle is ____

• 90⁰

• 180⁰

• 360⁰

• 270⁰

Multiple Choice

If the two angles of a triangle are 50 degree and 70 degree, then the measure of third angle is _____

• 50⁰

• 60⁰

• 70⁰

• 180⁰

Multiple Choice

A triangle in which all the three sides are of equal lengths is called an ______

• Equilateral triangle

• Scalene triangle

• Isosceles triangle

• there is not a such triangle

Multiple Choice

A triangle in which two sides are of equal lengths is called an _____

• Scalene triangle

• Equilateral triangle

• Isosceles triangle

• acute triangle

Multiple Choice

In a right angled triangle, the side opposite to the right angle is called the _____

• base

• hypotenuse

• perpendicular

• leg

Multiple Choice

In a right angled triangle, if one angle is 45 degree then the measure of the third angle is ______

• 90⁰

• 45⁰

• 180⁰

• 55⁰

Multiple Choice

In a triangle if all angles are equal, then the measure of each angle is ______

• 45⁰

• 60⁰

• 90⁰

• 180⁰

Multiple Choice

If the Pythagoras property holds, the triangle must be _____

• right angled

• acute angled

• obtuse angled

• any triangle

Multiple Choice

Which is the longest side of a right angle?

• perpendicular

• hypotenuse

• base

• leg

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

Do we know that the triangles are congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Yes, by AAS

• No, we do not have enough information.

Multiple Choice

ΔAEB ≅ ΔCED by...

• SAS

• ASA

• AAS

• SSS

Multiple Choice

ΔLMO ≅ _______ by ______

• ΔNOM , SSS

• ΔMON , SSS

• ΔNOM , SAS

• Cannot Be Determined

Multiple Choice

ΔWXZ ≅ Δ_____ by _____

• ΔWXY , SAS

• ΔWXY , ASA

• ΔWZY , SAS

• Cannot Be Determined

Multiple Choice

ΔEDC ≅ Δ_____ by _____

• ΔEDB , SSS

• ΔEBC , SSS

• ΔEBC , AAS

• Cannot Be Determined

Multiple Choice

ΔABE ≅ Δ_____ by _____

• ΔCDE , ASA

• ΔEDC , AAS

• ΔCDE , AAS

• Cannot Be Determined

Multiple Choice

ΔWAT ≅ Δ_____ by _____

• ΔTRE , ASA

• ΔTER , ASA

• ΔTER , AAS

• Cannot Be Determined

Multiple Choice

ΔVXW ≅ Δ_____ by _____

• ΔYXW , AAS

• ΔYWX , AAS

• ΔYXW , ASA

• ΔYWX , ASA

Multiple Choice

ΔRST ≅ Δ_____ by _____

• ΔRQT , SSA

• ΔRQT , ASA

• ΔRQT , AAS

• Cannot Be Determined

Multiple Choice

ΔVWX ≅ Δ_____ by _____

• ΔYZX by AAS

• ΔYXZ by AAS

• ΔYZX by ASA

• ΔYXZ by ASA

Multiple Choice

ΔYZV ≅ Δ_____ by _____

• ΔYWV , ASA

• ΔVWY , SAS

• ΔYWV , AAS

• Cannot Be Determined

Multiple Choice

ΔEGF ≅ Δ_____ by _____

• ΔHFG , SAS

• ΔHFG , AAS

• ΔGFH , SAS

• Cannot Be Determined

Multiple Choice

ΔXVW ≅ Δ_____ by _____

• ΔTUS , SSS

• ΔUTS , SSS

• ΔUST , SSS

• Cannot Be Determined

Multiple Choice

ΔTVS ≅ Δ_____ by _____

• ΔTVU , ASA

• ΔVTU , ASA

• ΔTVU , SAS

• Cannot Be Determined

Multiple Choice

ΔADC ≅ Δ_____ by _____

• ΔCBA , SAS

• ΔABC , ASA

• ΔCBA , ASA

• Cannot Be Determined

Multiple Choice

ΔCZH ≅ Δ_____ by _____

• ΔZET , AAA

• ΔEZT , AAA

• ΔZET , SAS

• Cannot Be Determined

Multiple Choice

ΔQTR ≅ Δ_____ by _____

• ΔSTR , ASA

• ΔSTR , AAS

• ΔSRT , AAS

• Cannot Be Determined

Multiple Choice

ΔABC ≅ Δ_____ by _____

• ΔDFE , SAS

• ΔDFE , SSA

• ΔDEF , SSA

• Cannot Be Determined

Multiple Choice

ΔICO ≅ Δ_____ by _____

• ΔOLP , AAS

• ΔOPL , ASA

• ΔOLP , ASA

• Cannot Be Determined

Multiple Choice

What is the justification (reason)?

• Reflexive Property
• Symmetric Property
• Transitive Property
• Substitution

Multiple Choice

What does CPCTC stand for?

• Congruent parts of congruent triangles are congruent
• Corresponding parts of congruent triangles are congruent
• Corresponding parts of corresponding triangles are corresponding
• Corresponding parts of congruent triangles are Canadian.

Multiple Choice

Fill in the blank.

• Given
• Reflexive Property
• Transitive Property
• They're the same side!!!!!! 

Multiple Choice

Which is a correct congruence statement.

• A
• B
• C
• D

Multiple Choice

Remember order matters. Which of the following is true?

• ∆FGH ≅ ∆VHW
• ∆HFG ≅ ∆HWV
• ∆HGF ≅ ∆VHW
• ∆FGH ≅ ∆VWH

Multiple Choice

If ΔDEF ≅ ΔRST, then we can conclude that DE = what?

• ST
• RS
• DF
• RT

Multiple Choice

If ΔABC ≅ ΔXYZ, which statement is always true?

• AB = AZ
• ∠B ≅ ∠Y
• ∠X ≅ ∠C
• AC = XC

Multiple Choice

If ΔABC ≅ ΔXYZ, which statement is always true?

• AB = YZ
• ∠C ≅ ∠Z
• ∠B ≅ ∠C
• AC = XY

Multiple Choice

When does one use CPCTC?

• Before triangles are congruent
• After triangles are congruent
• Whenever one wants, there are no restrictions
• There is no such thing as CPCTC

Multiple Choice

What is the correct choice for Statement 4?

• ⊿GHI ≅ ⊿JKL

• ⊿GHI ≅ ⊿KLJ

• ⊿GHI ≅ ⊿LJK

• ⊿GHI ≅ ⊿LKJ

Multiple Choice

What is the correct choice for Reason 5?

• SAS

• Definition of Congruence

• Prove

• CPCTC

Multiple Choice

Solve for x.

• 4

• 5

• 7

• 9

Multiple Choice

Solve for x.

• 70

• 40

• 35

• 140

Multiple Choice

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

• 45^o
• 55^o
• 80^o
• 100^o

Multiple Choice

If 

$$\Delta BCM\cong\Delta ZYR$$  , find the length of  $$\overline{CM}$$  

• 8 m

• 11 m

• 15 m

• 32°

Multiple Choice

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F.

• 40^o
• 50^o
• 90^o
• 45^o

Multiple Choice

Find the value of y for the given picture.

• 4

• 5.75

• 3.86

• 2.86

Multiple Choice

If  $$\Delta STW\cong\Delta XYZ$$

find x.

(Hint: Set up an equation with congruent sides ST and XY)

• 2

• 3

• 4

• 6

Multiple Choice

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PR.

• 10

• 2

• 12

• 30

Multiple Choice

Select the correct statement.

• $$\angle C\cong\angle C$$ because of the vertical angles theorem

• $$\angle ACB\cong\angle ECD$$ because of the vertical angles theorem

• $$\overline{CA}\cong\overline{CD}$$ because of the definition of a midpoint

• $$\angle C\cong\angle C$$ because of reflexive property of congruency

Multiple Choice

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

• $$\overline{TV}\cong\overline{TV}$$ ; reflexive property of congruency

• $$\angle U\cong\angle S$$ ; alternate interior angles theorem

• $$\overline{TU}\cong\overline{SV}$$ ; definition of congruency

• nothing is hidden, all of the congruent parts are marked

• undefined ; vertical angles theorem

Multiple Choice

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

• $$\overline{WA}\cong\overline{WA}$$ ; reflexive property of congruency

• $$\angle Y\cong\angle Y$$ ; vertical angles theorem

• $$\overline{WX}\cong\overline{ZA}$$ ; definition of a parallel lines

• nothing is hidden, all of the congruent parts are marked

• $$\angle WYX\cong\angle ZYA$$ ; vertical angles theorem

Multiple Choice

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

• $$\angle C\cong\angle C$$ ; reflexive property of congruency

• $$\angle DCF\cong\angle BCE$$ ; vertical angles theorem

• $$\overline{EC}\cong\overline{CF}$$ ; definition of a midpoint

• nothing is hidden, all of the congruent parts are marked

• $$\angle C\cong\angle C$$ ; vertical angles theorem

Multiple Choice

What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

• $$\overline{DA}\cong\overline{DC}$$ ; definition of a midpoint

• $$\angle A\cong\angle C$$ ; reflexive property of congruency

• $$\overline{BD}\cong\overline{BD}$$ ; reflexive property of congruency

• nothing is hidden, all of the congruent parts are marked

Multiple Choice

Name the corresponding angle or side.

• A
• B
• C
• D

Multiple Choice

Which is a correct congruence statement.

• A
• B
• C
• D

Multiple Choice

What triangle congruence shortcut would you use to prove the triangles congruent?

• $$SSS\Delta\cong$$

• $$SAS\Delta\cong$$

• $$AAS\Delta\cong$$

• $$ASA\Delta\cong$$

• $$RHL\Delta\cong$$

Multiple Choice

What triangle congruence shortcut would you use to prove the triangles congruent?

• $$SSS\Delta\cong$$

• $$SAS\Delta\cong$$

• $$AAS\Delta\cong$$

• $$ASA\Delta\cong$$

• $$RHL\Delta\cong$$

Multiple Choice

What triangle congruence shortcut would you use to prove the triangles congruent?

• $$SSS\Delta\cong$$

• $$SAS\Delta\cong$$

• $$AAS\Delta\cong$$

• $$ASA\Delta\cong$$

• $$RHL\Delta\cong$$

Multiple Choice

What triangle congruence shortcut would you use to prove the triangles congruent?

• $$SSS\Delta\cong$$

• $$SAS\Delta\cong$$

• $$AAS\Delta\cong$$

• $$ASA\Delta\cong$$

• $$RHL\Delta\cong$$

Multiple Choice

What triangle congruence shortcut would you use to prove the triangles congruent?

• $$SSS\Delta\cong$$

• $$SAS\Delta\cong$$

• $$AAS\Delta\cong$$

• $$ASA\Delta\cong$$

• $$RHL\Delta\cong$$

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

ΔAEB ≅ ΔCED by...

• SAS

• ASA

• AAS

• SSS

Multiple Choice

ΔXVW ≅ Δ_____ by _____

• ΔTUS , SSS

• ΔUTS , SSS

• ΔUST , SSS

• Cannot Be Determined

Multiple Choice

ΔQTR ≅ Δ_____ by _____

• ΔSTR , ASA

• ΔSTR , AAS

• ΔSRT , AAS

• Cannot Be Determined