
PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoIf A is the midpoint of RU and T is the midpoint of RN, prove that \triangle RAT \sim \triangle RUN.

Proof:
Statements | Reasons | |
1 | \angle ART = \angle URN | |
2 | RA = AU = \frac{1}{2}RU | |
3 | RT = TN = \frac{1}{2}RN | |
4 | \frac{RA}{RU} = \frac{RT}{RN} = \frac{1}{2} | |
5 | \triangle RAT \sim \triangle RUN |
Answer variants:
by ASA (1 and 4)
The sides are proportional from 2 and 3.
T is the midpoint of RN
\angle R is common in \triangle RAT and \triangle RUN
A is the midpoint of RU
The sides are proportional from 1 and 2.
by SAS (1 and 4)