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Answer:
a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)
b) no; different angles
Step-by-step explanation:
a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.
The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.
Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.
The scale factor relating the second triangle to the first is ...
NC/RL = 45/30 = 3/2
__
b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.
We substitute the given into the equation
given: a=-1, b=2, c=
=(
-1
=
-1
=
-1
=
-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=
×
(denominator should be -2=common)
=
+
=
which also = to -3.5
Answer:
Step-by-step explanation:
OK you should really have these by now.
Translation, reflection and rotations do not change segment lengths or angular relationships. They only change line slopes and/or y-intercepts.
No not evenly, but it will be 49.3 repeating .
