1. Yes, ΔABC and ΔDEF are similar triangles by SSS similarity.
2. Yes, ΔABC and ΔFGH are similar triangles by AAA similarity.
Solution:
Question 1.
(a) Yes, ΔABC and ΔDEF are similar triangles.
(b) <em>If two triangles are congruent, then their corresponding sides are in the same ratio.</em>
Let's compare the sides of the triangles.



Corresponding sides of the triangle are in the same ratio.
Hence by SSS similarity ΔABC and ΔDEF are similar triangles.
Question 2:
(a) Yes, ΔABC and ΔFGH are similar triangles.
By triangle sum theorem,
In triangle ABC,
m∠A + m∠B + m∠C = 180°
m∠A + 81° + 52° = 180°
m∠A = 180° – 133°
m∠A = 47°
In triangle ABC,
m∠F + m∠G + m∠H = 180°
47° + m∠G + 52° = 180°
m∠G = 180° – 99°
m∠G = 81°
Yes, ΔABC and ΔFGH are similar triangles.
(b) <em>If two triangles are congruent, then their corresponding angles are congruent.</em>
∠A ≅ ∠F
∠B ≅ ∠G
∠C ≅ ∠H
Hence by AAA similarity ΔABC and ΔFGH are similar triangles.
Answer:
N = 8
Step-by-step explanation:
(12 + 3) - 7 = N
=> N = (12 + 3) - 7
=> N = 15 - 7
=> N = 8
Answer:
I have learned a lot in math, although it was years ago on of my favorite things to learn was to multiply and divide. They were not only easy but also fun.
Step-by-step explanation:
9 lead cubes of side 3 cm could be made from a lead cube of side 27 cm.
This is because,
27/3= 9