Complete the missing reasons in the proof below

Mathematics

1 answer:

olga_2 [115]3 years ago

3 0

Reason 2 is the reflexive property. Which basically says "any segment is congruent to itself"

Reason 3 is SSS (side side side) congruence theorem. The first two pair of sides are provided in statement 1 (given) and the third pair of sides is from statement 2

Reason 4 is CPCTC which stands for: corresponding sides of congruent triangles are congruent. In short, if two triangles are congruent, then the corresponding pieces are. In this case, angle N corresponds to angle P. So because the triangles MPO and MNO are congruent, then angle N = angle P. Notice how angle N and angle P are the middle letter of the two sequences MPO and MNO

You might be interested in

A group spends $277.50 to rent a total of 15 tubes. How many of each type of tube does the group rent?

tensa zangetsu [6.8K]

The amount spent on each tube is $18.5

The total amount spent to rent 15 tubes by the group is $277.50.

Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.

∴

if 15 tubes = $277.50

1 tube = $x

By cross multiplying:

$\mathbf {\$(x) = \dfrac{ \$277.50 \times 1 \ tube }{15 \ tube}}$