Question

geometry 4 - 4 day 1 hwk
name:
show all of your work on this worksheet and then enter your answers on formative. both are required in order to
receive credit for the assignment.

1. label each pair of triangles congruent by sas, sss, aas, asa, or not enough information.

2)

1. given: ( overline{ab}paralleloverline{dc},overline{ad}paralleloverline{bc} )

prove: ( \triangle abccong\triangle cda )

Explanation:

Step1: Analyze the first set of triangles (left - hand side of 2)

• For the first triangle pair (I) in the left - hand side of 2:
• We have two angles and the included side (ASA) marked as congruent.

Step2: Analyze the second set of triangles (II) in the left - hand side of 2

• There is no congruence criterion (SSS, SAS, ASA, AAS) satisfied as we only have one side marked congruent and no information about angles or other sides.

Step3: Analyze the third set of triangles (III) in the left - hand side of 2

• We have three sides marked congruent (SSS).

Step4: Analyze the fourth set of triangles (IV) in the left - hand side of 2

• We have two sides and the included angle (SAS) marked congruent.

Step5: Analyze the first set of triangles (right - hand side of 2)

• For the first triangle pair (I) in the right - hand side of 2:
• We have three sides marked congruent (SSS).

Step6: Analyze the second set of triangles (II) in the right - hand side of 2

• We have two angles and a non - included side (AAS) marked congruent.

Step7: Analyze the third set of triangles (III) in the right - hand side of 2

• We have two angles and the included side (ASA) marked congruent.

Step8: Analyze the fourth set of triangles (IV) in the right - hand side of 2

• We have two sides and the included angle (SAS) marked congruent.

Answer:

Left - hand side of 2:
I. ASA, II. Not enough information, III. SSS, IV. SAS
Right - hand side of 2:
I. SSS, II. AAS, III. ASA, IV. SAS