Geometry 4.6 Proving Right Triangles Congruence

Quiz by Dr. Esequiel Garcia

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- Q1
Proof. Complete the proof for reasons 3.______________and 4._____________________-

3. HL Theorem and 4. Symmetric Property

3. HH Theorem and 4. Reflexive Property

3. HL Theorem and 4. Reflexive Property

3. Reflexive Property and 4. HL Theorem

30sEditDelete - Q2
What is the correct reasoning for statement 1?

Reflexive

HL Theorem

CPTCP

Given

30sEditDelete - Q3
What is the correct reasoning for question 2?

Given

Reflexive Property

HL Theorem

Corresponding Parts of Congruent Triangle are Congruent

30sEditDelete - Q4
What is the correct reasoning for statement 1?

Hypotenuse Leg Theorem

Given

Definition of Right Triangles

Reflexive Property

30sEditDelete - Q5
Proof. Complete reasons 2._______ 3.___________and 5.___________.

2. Definition of perpendicular lines 3. Given and 5. HL Theorem

2. Definition of parallel lines 3. Given and 5. HL Theorem

2. Definition of perpendicular lines 3. SSS and 5. HL Theorem

2. Definition of perpendicular lines 3. Given and 5. HA Theorem

30sEditDelete - Q630sEditDelete
- Q7
For which situation could you immediately prove using the HL Theorem

II Only

III Only

II and III Only

I Only

30sEditDelete - Q8
Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

No. the triangles cannot be proven congruent

Yes, $\backslash Delta\; ACB\backslash cong\backslash Delta\; ACD$

Yes $\backslash Delta\; ABC\backslash cong\; ACD$

30sEditDelete - Q9
Proof. The following reasons include: 2.______________, 5_____________and 7._____________________-

2. Segment Dissector 5. Definition of Right Angles and 7. HL Theorem

2. Segment Bisector 5. Definition of Right Angles and 7. HE Theorem

2. Segment Bisector 5. Definition of Acute Angles and 7. HL Theorem

2. Segment Bisector 5. Definition of Right Angles and 7. HL Theorem

30sEditDelete - Q10
What is the correct reasoning for statement 2?

HL Theorem

Given

Reflexive

CPTCP

30sEditDelete - Q11
What is the correct reasoning for statement 3?

Given

Reflexive

HL Theorem

CPTCP

30sEditDelete - Q12
What is the correct reasoning for statement 4?

Given

HL Theorem

Reflexive

CPTCP

30sEditDelete - Q13
What is the correct reasoning for statement 5?

CPCTC

Reflexive

HL Theorem

Given

30sEditDelete - Q14
What is the correct reasoning for question 3?

Given

Corresponding Parts of Congruent Triangle are Congruent

HL Theorem

Reflexive

30sEditDelete - Q15
What is the correct reasoning for question 4?

Given

HL Theorem

Reflexive

Corresponding Parts of Congruent Triangle are Congruent

30sEditDelete - Q16
What is the correct reasoning for statement 2?

Hypotenuse Leg Theorem

Given

Definition of Right Triangles

Reflexive Property

30sEditDelete - Q17
What is the correct reasoning for statement 3?

Reflexive Property

Hypotenuse Leg Theorem

Given

Definition of Right Triangles

30sEditDelete - Q18
What is the correct reasoning for statement 4?

Hypotenuse Leg Theorem

Reflexive Property

Given

Definition of Right Triangles

30sEditDelete