Given: ∠BAD ≅ ∠CAD AD ⊥ BC

Prove: ∆ ABC is isosceles Statements

Statement 1 Reasons

Reason 1 ∠BAD ≅ ∠CAD

Statement 2 Statement

3 Statement

4 Given

Reason 2 Given AD ⊥ BC Since AD Reason3 ⊥ BC then <BDA ≈ <CDA are right angles; all right angles are congruent Statement 5 Reason 4 Definition of a perpendicular bisector

Reason

5 AD≈AD

Statement 6 Reflexive Property of equality

Reason 6 ∆ BAD≈∆ CAD

Statement 7 ASA

Reason 7 BA≈CA

Statement

8 CPCTC

Reason 8 ABC is Isosceles Definition of Isosceles Note: The number of rows provided in the proof table above is arbitrary and not necessarily representative of the number of statements needed to complete this proof logically. Evaluation Report

Evaluation Results

010009000003ff00000000008100000000000400000003010800050000000b0200000000050000

000c0211000f00030000001e00040000000701040004000000070104000800000026060f000600

544e5050060145000000410b8600ee0010000e000000000010000e0000000000280000000e0000

00100000000100010000000000000000000000000000000000000000000000000000000000ffffff

00000000001fe07c051fe000007ff8f004fffc0000fffc0000fffc0000fffc0000fffc0000fffc79057ff87

9051fe079051fe079051fe079051fc00e6f0000000081000000410bc600880010000e00000000001

0000e0000000000280000000e00000010000000010004000000000000000000000000000000000

0000000000000000000000000ffffff008be1ff00d1fbff0036363600898989003fc68d00e6e6e600b

7b7b70096969600696969000000000000000000000000000000000000000000111111111111110

111100000000111c0111033333301110010002222220001bf0aa00000000aa0030999999999999

044088888888888800207744444444770440114555555461000014500000054104410001333330

001091110133333011144111013333301110811101111120111c01110000000111104111111111

11111c00800000026060f000600544e50500701040000002701ffff030000000000Print

E-Care Support Request Form Author:

Sonya Steward

Date Evaluated:

01/07/2012 10:06:01 PM (CST)

DRF template:

QLT1* Quantitative Literacy (V1 UNDERGRAD-0610)

Program:

QLT1* Quantitative Literacy (V1 UNDERGRAD-0610)

Evaluation Method:

Using Rubric Display:

All Comments Criteria Description Evaluation Summary for Quantitative Lit.: RQLT Task 4

Final Score:

Does not Meet

Overall comments:

Clear progress is made in the proof, but a few revisions are still required. Use the evaluator's

notes to make the remaining changes and resubmit when ready. Detailed Results (Rubric used: RQLT Task 4)

Articulation of Response (clarity, organization, mechanics)

(0) Unsatisfactory

(1) Needs Revision

(2) Satisfactory

The candidate provides unsatisfactory articulation of response.

The candidate provides weak articulation of response.

The candidate provides adequate articulation of response.

Criterion Score: 2.00

A. Proof

(0) Unsatisfactory

(1) Needs Revision

(2) Satisfactory

The candidate does not accurately complete the proof using a 2-column proof format with statements on the left and reasons on the right.

The candidate accurately completes all but 1 to 2 steps of the proof using a 2-column proof

format with statements on the left and reasons on the right.

The candidate accurately completes the proof using a 2-column proof format with statements on

the left and reasons on the right.

Criterion Score: 1.00

Comments on this criterion: The proof is nearly complete, but one statement requires revisions.

Statement three should be broken into two statements and the original reason for statement three

is close, but imprecise. Revise to address these issues.

B. In-Text Citations and References in APA Format

(0) Unsatisfactory

(1) Needs Revision

(2) Satisfactory

If the candidate uses outside sources, the candidate does not provide in-text citations or

references.

If the candidate uses outside sources, the candidate provides appropriate in-text citations and

references with several major APA formatting errors.

If the candidate uses outside sources, the candidate provides appropriate in-text citations and

references accurately or with only minor APA formatting errors, OR the candidate does not use

outside sources.

Criterion Score: 2.00