Geometry Unit 2: Triangles Part 1 Packet 2 This is a packet containing the homework and some classwork for the first half of the first unit of geometry. This MUST be completed and turned in before your first assessment (no exceptions). You will turn in completed assignments by their designated due date. If you lose this packet, it will be your responsibility to print a new packet. Replacement packets and assignments will be posted on my website. I may also give you additional assignments, not in this packet. In general, you may use a calculator when necessary. For full credit, you will need to show all work (when applicable). Name

Date Assigned: _________________ Tentative Due Date for Packet:______________

Assignment Assigned Date Due Date Grade

2.7 Worksheet

2.8 Worksheet

2.9 Worksheet

2.10 Worksheet

2.11 Worksheet

Grading rubric for assessments: MYP Criterion A: Knowledge and Understanding Achievement

level Year 5 Descriptor Student Friendly Descriptor

7-8 The student consistently

makes appropriate deductions when solving challenging

problems in a variety of

contexts including unfamiliar situations.

8: Exceed Expectations (A)

I answered all questions completely and correctly

including the unfamiliar question I included units (if necessary).

If a test/quiz, I did not use my notes and showed all

my thinking.

I rounded to three significant figures when

necessary.

I successfully answered all questions on my first

attempt. I showed all necessary work

7: Exceeds Expectations (A) I answered all questions with most being correct, but

I may have missed a question.

I included units (if necessary).

If a test/quiz, I did not use my notes and showed my

thinking.

I rounded to three significant figures when

necessary. I showed all necessary work

5-6 The student generally makes

appropriate deductions when solving challenging problems

in a variety of familiar contexts.

6: Meets expectations (B)

Most of my answers are correct with a couple errors.

If a test/quiz, I may have used my notes.

I showed my thinking on most problems.

I may have missed units on questions.

I may have rounded incorrectly.

My assignment may have been completed after the

due date.

5: Making Progress (C)

I answered about half the questions correctly.

If a test/quiz, I may have used my notes.

I may have missed units on questions.

I may have rounded incorrectly.

3-4 The student generally makes appropriate deductions when

solving more complex problems in familiar contexts.

4: Showed some knowledge (D) I attempted all questions with limited success.

3: Made an attempt I attempted all questions with limited success.

1-2 The student generally makes appropriate deductions when

solving simple problems in familiar contexts.

I attempted questions with very limited success.

0 The student does not reach a

standard described by any of the descriptors above

I did not try this assessment.

Unit 2: SSS, SAS, ASA, AAS (Part 1) Name 2.7 Worksheet Due Date Learning Target 2.3.B: I can explain why triangles are or are not congruent. 1. What information do you need to know to show that two triangles are congruent? __________________________________________________________________ __________________________________________________________________ 2. Why does AAA not work as a shortcut?

__________________________________________________________________ __________________________________________________________________ 3. Why does SSA (or ASS) not work as a shortcut? __________________________________________________________________ __________________________________________________________________ Directions: Name the congruent triangles. State the conjecture that supports the

congruence statement. If you cannot show the triangles to be congruent from the information given, write “cannot be determined.”

1. ΔLUZ _______ by _____________

2. ΔCAV_______ by _____________

3. ΔMAD _______ by _____________

4. ΔCOT _______ by _____________

5. ΔANT _______ by _____________

6. ΔFAD _______ by _____________

7. ΔKAP _______ by _____________

8. ΔMAN _______ by _____________

9. ΔGIT _______ by _____________

10. _______ _______ by _____________

11. _______ _______ by _____________

12. _______ _______ by _____________

7. _______ _______ by _____________

8. _______ _______ by _____________

9. _______ _______ by _____________

Unit 2: Beginning of Proofs Name 2.8 Worksheet Due Date Directions: Complete the blanks. Just a reminder that CPCTC stands for “Corresponding Parts of Congruent Triangles Conjecture.” 1. Given: 𝐻𝐹̅̅ ̅̅ ≅ 𝐿𝐴̅̅̅̅ , 𝐻𝐴̅̅ ̅̅ ≅ 𝐿𝐹̅̅̅̅

We can figure out that …

___________ ______________

by _____________________

So we can conclude that …..

∆ ___________ ∆ ______________

by _____________________

By CPCTC:

∠ ∠

∠ ∠

∠ ∠

2. Given: 𝐷𝐺̅̅ ̅̅ ≅ 𝐶𝑇̅̅̅̅ , 𝐺𝑂̅̅ ̅̅ ≅ 𝑇𝐴̅̅ ̅̅ , G T

So we can conclude that …..

∆ ___________ ∆______________

by _____________________

By CPCTC:

∠ ∠

∠ ∠

3. Given: 𝐵𝑅̅̅ ̅̅ ≅ 𝐸𝑅̅̅ ̅̅ , 𝑈𝑅̅̅ ̅̅ ≅ 𝑇𝑅̅̅ ̅̅

We can figure out that …

∠___________ ∠______________

by _____________________

So we can conclude that …..

∆___________ ∆______________

by _____________________

By CPCTC:

∠ ∠

∠ ∠

4. Given: C P, CMA PMA

We can figure out that …

___________ _______________

by _____________________

So we can conclude that …..

∆ ___________ ∆______________

by _____________________ By CPCTC:

∠ ∠

5. Given: 𝐹𝐿̅̅̅̅ ≅ 𝑇𝐸̅̅ ̅̅ , 𝐿𝑈̅̅ ̅̅ ≅ 𝐸𝑈̅̅ ̅̅

We can figure out that …

___________ _______________

by _____________________

So we can conclude that …..

∆___________ ∆_______________

by _____________________ By CPCTC:

__ ________

Unit 2: Flowchart Proofs Name 2.9 Worksheet Due Date Directions: Complete the flow chart proofs. 1. Given: 𝐴𝐵̅̅ ̅̅ ≅ 𝐴𝐷̅̅ ̅̅ , 𝐵𝐶̅̅ ̅̅ ≅ 𝐷𝐶̅̅ ̅̅ Prove: B ≌ D

2. Given: See picture for markings Prove: 𝐷𝐴̅̅ ̅̅ ≅ 𝑇𝑈̅̅ ̅̅

D

R

P

A N

3. Given: 𝑃𝑄̅̅ ̅̅ || 𝑅𝑆̅̅̅̅ 𝑆𝑅̅̅̅̅ ≅ 𝑄𝑃̅̅ ̅̅ Prove: 𝑆𝑃̅̅̅̅ ≅ 𝑄𝑅̅̅ ̅̅

4. Given: 𝐴𝑅̅̅ ̅̅ ≅ 𝑃𝑅̅̅ ̅̅ , A ≌ P

Prove: 𝐴𝐷̅̅ ̅̅ ≅ 𝑃𝑁̅̅ ̅̅

Unit 2: Flowchart Proofs Cont. Name 2.10 Worksheet Due Date Directions: Complete the flow chart proofs. This is an extended learning option, since we just began proofs. These must be complete and accurate to receive full credit. 1. Given: See Picture for Markings Prove: E A

2. Use the word bank below to complete the proof. Given: A R, 𝐴𝑀̅̅̅̅̅ ≅ 𝑅𝑀̅̅̅̅̅ Prove: D C

Statement/Justification Bank: A R AM RM Given ASA

Vertical Angles D C Given ∆ADM ∆RCM

AMD RMC CPCTC

3. Create a flowchart proof using the information below.

Given: 𝑆𝐸̅̅̅̅ ≅ 𝑃𝐸̅̅ ̅̅ , 𝑆𝑇̅̅̅̅ ≅ 𝑃𝑇̅̅̅̅ Prove: 𝐸𝑇̅̅ ̅̅ is an angle bisector

4. Given: See Picture for Markings Prove: P AS

S

L

P

M

Unit 2: Practice Assessment 3 Name 2.11 Worksheet Due Date Learning Target 2.3.A: I can identify corresponding parts of triangles. Name the congruent parts of the congruent triangles.

1. ∆WHS ≅ ∆ROX

2. ∆NOR ≅ ∆MLR

Mark the picture with appropriate markings based on the order of the letters.

3. ∆ABD ≅ ∆CBD

4. ∆CRN≅ ∆WON

Sketch, label, and mark the following based on the descriptions.

5. Two congruent isosceles obtuse triangles MIN and ESO with obtuse angles I and S.

Learning Target 2.3.B: I can explain why triangles are or are not congruent. Directions: Name the congruent triangles. State the conjecture that supports the congruence

statement. If you cannot show the triangles to be congruent from the information given, write “cannot be determined.”

1. ΔCAT 2. ΔFAD 3. ΔTRP

by by by

4. ΔTIR 5. ΔKAP 6. ΔMAD

by by by

Learning Target 2.3.E: I can justify, using a flowchart proof, corresponding parts of congruent triangles are also congruent (CPCTC) 1. Complete the flowchart proof using the information below.

Given: 𝐵𝑅̅̅ ̅̅ ≅ 𝐸𝑅̅̅ ̅̅ , 𝑈𝑅̅̅ ̅̅ ≅ 𝑅𝑇̅̅ ̅̅

Prove: 𝐵𝑈̅̅ ̅̅ ≅ 𝐸𝑇̅̅ ̅̅