(A) Either of
• rotation 180° about point B
• reflection across point B
(B) If the transformation is rigid, the corresponding sides and angles are congruent.
(C) The sequence of letters tells you the correspondence.
AB ⇔ DB
AC ⇔ DE
BC ⇔ BE
∠A ⇔ ∠D
∠ABC ⇔ ∠DBE
∠C ⇔ ∠E
For a.
Since there are already two angles given for the triangle, we can measure the last angle using this formula:
90 + 55 + a = 180
Now solve for "a".
90 + 55 + a = 180
145 + a = 180
a = 180 - 145
a = 35°
For b.
From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.
Now that we have two angles in the second triangle(35 and 120), we can use the same formula:
35 + 120 + b = 180
Now solve for "b":
35 + 120 + b = 180
155 + b = 180
b = 180 - 155
b = 25°
The decimal for this fraction is 5.5
Answer:
The solution is where the two lines intersept. Therefore, the answer is (4,2).
Step-by-step explanation:
I hope this helps.
