Geometry? I am really bad at math and have dyscalcullia. Please help.
Answer:
We see from the figure,
1. ∠LON and ∠MON both measure = 90°
2. LO = OM = 2 units
3. ΔLON and ΔMON share the side ON
Since, in both triangles, we have LO=OM, ∠LON = ∠MON and ON=ON.
4. ΔLON and ΔMON are congruent by SAS Postulate
5. We have, ΔABC and ΔA'B'C' are congruent.
It can be seen that, they are congruent by applying the transformations,
Reflection across x-axis followed by translation of 3 units upwards.
Answer: The answers are (1). 90°, (2) 2 units, (3) ON, (4) Side-angle-side, (5) A.
Step-by-step explanation: Based on the attached file, the calculations are as follows:
(1) Since NO is perpendicular to LM, so ∠LON and ∠MON measure 90 degrees.
(2) LO = OM = 2 units.
(3) ΔLON and ΔMON share side ON.
(4) Triangles LON and MON are congruent by the side-angle-side postulate.
(5) The pair of rigid motions that shows that ΔABC and ΔA'B'C' are congruent to each other is
(A) Reflection across the X-axis followed by a translation of 3 units up.