Question

geometry alternate assignment
aas &asa with 4 proofs
determine if the two triangles are congruent. if they are, state how you know.
1)
asa
2)
asa
3)
aas
4)
asa
5)
asa
6)
aas
13)
asa
14)
asa
15)
sss
16)
sss
17)
sas
18)

19)

20)
no
state what additional information is required in order to know that the triangles are congruent for the reason given.
name
date
period
id:2

Explanation:

Step1: Analyze Problem Type

The problem involves determining triangle congruence (AAS, ASA, SAS, SSS) and identifying additional info for congruence. This falls under Geometry (subfield of Mathematics), requiring visual analysis of triangle diagrams.

Step2: Example - Problem 1 (Top Left)

• Identify Given: A triangle with a common angle and side markings? Wait, the first diagram (1)): Two triangles share a common angle, and maybe a side? Wait, the label is ASA. Let's check ASA criteria: Two angles and included side. So if two angles and the included side are congruent, triangles are congruent by ASA.

Step3: Problem 3 (Top Middle)

• Diagram: Two right triangles (right angles), a marked side (maybe a leg), and a common angle? Wait, label is AAS. AAS: Two angles and a non - included side. Right angle, another angle, and a side (not between the angles) congruent. So by AAS, triangles are congruent.

Step4: Problem 13 (Bottom Left, First)

• Diagram: Two triangles with a common angle (vertical angles?) and marked sides? Label is ASA. So two angles (one maybe vertical, one marked) and included side? So by ASA, congruent.

Step5: Problem 19 (Bottom Left, Second Row)

• Diagram: Two triangles with a marked side and an angle. To prove congruence, we need additional info. For example, if we have a side - angle - side, or angle - side - angle. Here, maybe another angle or side. If we assume we want ASA, we need the included side or another angle. But the label "No" maybe means not enough info? Wait, the diagram has a marked side and an angle, but not enough for congruence.

Answer:

The problems are about triangle congruence (AAS, ASA, SAS, SSS) in Geometry. For each:

1. Congruent by ASA (two angles, included side congruent).
2. Congruent by AAS (two angles, non - included side congruent).
3. Congruent by ASA (two angles, included side congruent).
4. Not enough info (or need additional angle/side, e.g., another angle for ASA or a side for SAS).

(Note: Since the problem has multiple sub - problems, the above is a general analysis. For specific sub - problem answers, more detailed diagram analysis is needed, but the key is using triangle congruence criteria (ASA, AAS, SAS, SSS) to determine congruence or required info.)