Geometry 4.6 Proving Right Triangles Congruence

Quiz by Dr. Esequiel Garcia

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18 questions
• 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

30s
• Q2

What is the correct reasoning for statement 1?

Reflexive

HL Theorem

CPTCP

Given

30s
• Q3

What is the correct reasoning for question 2?

Given

Reflexive Property

HL Theorem

Corresponding Parts of Congruent Triangle are Congruent

30s
• Q4

What is the correct reasoning for statement 1?

Hypotenuse Leg Theorem

Given

Definition of Right Triangles

Reflexive Property

30s
• 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

30s
• Q6
30s
• Q7

For which situation could you immediately prove using the HL Theorem

II Only

III Only

II and III Only

I Only

30s
• 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, $\Delta ACB\cong\Delta ACD$

Yes $\Delta ABC\cong ACD$

30s
• 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

30s
• Q10

What is the correct reasoning for statement 2?

HL Theorem

Given

Reflexive

CPTCP

30s
• Q11

What is the correct reasoning for statement 3?

Given

Reflexive

HL Theorem

CPTCP

30s
• Q12

What is the correct reasoning for statement 4?

Given

HL Theorem

Reflexive

CPTCP

30s
• Q13

What is the correct reasoning for statement 5?

CPCTC

Reflexive

HL Theorem

Given

30s
• Q14

What is the correct reasoning for question 3?

Given

Corresponding Parts of Congruent Triangle are Congruent

HL Theorem

Reflexive

30s
• Q15

What is the correct reasoning for question 4?

Given

HL Theorem

Reflexive

Corresponding Parts of Congruent Triangle are Congruent

30s

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