Question

ctions final exam study
by december 18, 2025
you want to pass
17.
-4)=(2, 8
ay)
(a,-a)
circle one of the following:
sss sas asa aas hl not enough information
congruence statement
if necessary
18.
circle one of the following:
sss sas asa aas hl not enough information
congruence statement
if necessary:
19.
circle one of the following:
sss sas asa aas hl not enough information
congruence statement
if necessary:

Explanation:

Step1: Analyze Problem 17

In problem 17, we have a triangle with marked sides. The SSS (Side - Side - Side) congruence criterion states that if three sides of one triangle are equal to three corresponding sides of another triangle, the triangles are congruent. From the diagram, we can see that the three sides of one triangle are marked equal to the three sides of the other triangle. So we circle SSS.

Step2: Analyze Problem 18

For problem 18, we look at the marked segments. We have a pair of equal sides (from the marks), vertical angles (which are equal), and another pair of equal sides. The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Here, the vertical angles are the included angles between the equal sides, so we circle SAS.

Step3: Analyze Problem 19

In problem 19, we have a pair of equal angles (marked angles), a pair of equal sides (marked sides), and vertical angles (which are equal). The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent. Here, the marked side is between the marked angle and the vertical angle, so we circle ASA.

Answer:

1. SSS
2. SAS
3. ASA