NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Fill in the BlanksQuestion 68
Class 7 - Mathematics - Unit 6: Triangles - Fill in the Blanks
Question. 68
In Fig. 6.26, AB = AD and ∠BAC = ∠DAC. Then
Answer:
(i) Δ ADC ≅ ΔABC
(ii) BC = DC
(iii) ∠BCA = ∠DCA
(iv) Line segment AC bisects ∠BAD and ∠BCD
Detailed Answer with Explanation:
Given AB = AD and ∠BAC = ∠DAC with common side AC, ΔADC ≅ ΔABC by SAS criterion. Thus, BC = DC and corresponding angles are equal, so AC bisects ∠BAD and ∠BCD.