1. Based on the given information, what can you conclude, and why?
Given: m angle P= m angle T ; PR=TR.
A) Triangle QRP is congruent to Triangle TRS by SAS.
B) Triangle QRP is congruent to Triangle SRT by SSS.
C) Triangle QRP is congruent to Triangle SRT by ASA.
D) Triangle QRP is congruent to Triangle STR by ASA.
Could someone please help with this? I'm not fully understanding the question, but from what I can understand, I think that it's either B or C. Thank you!
The answer is C. just finished it
Based on the given information, you can conclude that Triangle QRP is congruent to Triangle SRT by SAS (Side-Angle-Side).
Here's the explanation:
- The given statement "m angle P = m angle T" means that the measure of angle P is equal to the measure of angle T. This establishes the included angle congruence (angle P and angle T) between the two triangles.
- The given statement "PR = TR" means that the length of side PR is equal to the length of side TR. This establishes the side congruence (side PR and side TR) between the two triangles.
By having both the included angle congruence and side congruence, you can apply SAS (Side-Angle-Side) to conclude that Triangle QRP is congruent to Triangle SRT.
Therefore, the correct answer is A) Triangle QRP is congruent to Triangle TRS by SAS.
To determine which option is correct, we need to examine the given information and apply the appropriate congruency theorem.
Given: m angle P = m angle T and PR = TR.
In triangle QRP and triangle TRS, we have the following:
1. Segment PR = TR (given)
2. Angle P = Angle T (given)
3. Segment QR (common side)
Based on these given facts, we can conclude that triangle QRP is congruent to triangle TRS by the Side-Angle-Side (SAS) congruence theorem.
Therefore, the correct option is A) Triangle QRP is congruent to Triangle TRS by SAS.
unit 6 lesson 3.
D
B
A
good lucl with the rest