Answer: B.Three sides measuring 14 m,11 m,and 18 m
Step-by-step explanation:
Let's check all the option.
A. Three angles measuring 75,45,and 50
We know that the sum of all angles of a triangle is 180°.
But Therefore triangle is not possible with this dimensions of angles.
B. Three sides measuring 14 m,11 m,and 18 m
Here ,
⇒<u> It satisfies the triangle inequality</u>.
∴ There is one unique triangle of dimensions 14 m,11 m,and 18 m
.
C.Three angles measuring 40,50 and 60.
.
But Therefore triangle is not possible with this dimensions of angles.
D.Three sides measuring 3 cm,4 cm,and 8 cm
Here ,
Hence, it does not satisfies the triangle inequality.
Answer:
The Two Column Proof is given below.
Step-by-step explanation:
Given:
To Prove:
∠ P ≅ ∠ N
Proof:
In Δ MPO and Δ MNO
STATEMENT REASONS
1. MP ≅ MN 1. Given
2. PO ≅ NO 2. Given
3. MO ≅ MO 3. Reflexive property
4. ΔMPO ≅ ΔMNO 4. Side-Side-Side congruence test}
5. ∠MPO ≅∠MNO 5. Corresponding parts of congruent Triangles
i.e ∠ P ≅ ∠ N ..................Proved
Answer:
Polygon q’s area is one fourth of polygon p’s area
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> polygon q’s area
y-----> polygon p’s area
so
In this problem we have
substitute
therefore
Polygon q’s area is one fourth of polygon p’s area