# 1. If ΔRST symbol ΔNPQ, then RT line is congruent to _____. (1 point)

A. NP
B. NQ
C. PQ
D. QP

## 1. B

2. B
3. D
4. A
5. B
6. D
7. A
8. D
9. B
10. C

11. 1. Given
2. Angle bisector
3. Reflexive property
4. Given
5. Angle bisector
6. ASA

12. Yes, PQS is congruent to RQS by HL is true statement according to the diagram.
RS ~= PS QS ~= QS
(I ONLY GOT HALF THE POINTS)

13. BC=EC, AC=DC (given
m<DCE= m<ACB because they are vertical angles
Therefore CBA ~= DEC because of SAS congruency
AB=DE because corresponding parts of congruent triangles are also congruent (CPCTC)

14. A. base angle
B. leg
C. vertex angle
D. leg
E. base angle
F. base

(on your own for the last two)

## If ΔRST symbol ΔNPQ, it means that triangle RST is congruent to triangle NPQ.

By the definition of congruent triangles, corresponding sides and corresponding angles of congruent triangles are congruent.

Since RT is a side of triangle RST, the corresponding side of triangle NPQ would also be congruent to RT.

Therefore, the answer is A. NP.

## To determine which line RT is congruent to, we need to understand what it means when two triangles are symbolized by the delta symbol, Δ. In geometry, when you see ΔRST symbol ΔNPQ, it means that the two triangles RST and NPQ are congruent to each other. Congruent triangles means that they have the same shape and size.

To find out which line RT is congruent to, we need to look for the corresponding parts of the congruent triangles. Corresponding parts of congruent triangles are congruent as well. Let's look for the corresponding sides of ΔRST and ΔNPQ.

In ΔRST, RT is one of the sides. To find the corresponding side in ΔNPQ, we need to look for the side that corresponds to RT. Looking at the options, we see that side RT corresponds to side PQ, which is option C.

Therefore, RT line is congruent to PQ.