Question

Figure 1 is congruent to Figure 2.

Figure 1
K 3.5 cm L
Figure 2
5 cm
T
4.5 cm
3 cm
2 cm
What is the length of NP?
A. 2 cm
B, 3 cm
C: 3.5 cm
D, 4.5 cm
E, 5 cm

Answer 1

E. 5 cm.

Explanation:

As the 2 figures are congruent then corresponding sides are congruent.

NP corresponds to UT = 5 cm.

So NP is 5cm long.

(If we rotate Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)

Answer 2

E.) 5 cm

Explanation:

The shapes are congruent and are the same size, side TU is the same as NP. If TU is 5, then NP is 5.