Geometry — Flashcards
Tamil Nadu Board · Class 9 · Mathematics
25 flashcards for Geometry (Tamil Nadu Board Class 9 Mathematics) to test yourself on key terms and facts. Sample: "Two angles are complementary. If one.
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Two angles are complementary. If one angle is 35°, find the other angle.
Answer
Step 1: Recall that complementary angles sum to 90°. Step 2: Let the unknown angle = x Step 3: 35° + x = 90° Step 4: x = 90° - 35° = 55° Answer: The other angle is 55°…
Two angles form a linear pair. If one angle is 127°, find the other angle.
Answer
Step 1: Recall that angles in a linear pair sum to 180°. Step 2: Let the second angle = x Step 3: 127° + x = 180° Step 4: x = 180° - 127° = 53° Answer: The other angle is 53°…
Two lines intersect. One of the vertically opposite angles is 68°. Find all four angles formed.
Answer
Step 1: Vertically opposite angles are equal. Step 2: First pair of vertically opposite angles = 68° each Step 3: The adjacent angles form linear pairs with 68°. Step 4: Adjacent angle = 180° - 68° = …
In a triangle, one angle is 52° and another is 63°. Find the third angle.
Answer
Step 1: Recall the angle sum property of triangles: Sum of all angles = 180° Step 2: Let the third angle = x Step 3: 52° + 63° + x = 180° Step 4: 115° + x = 180° Step 5: x = 180° - 115° = 65° Answer: …
The angles of a triangle are in the ratio 1:2:3. Find all three angles.
Answer
Step 1: Let the angles be x, 2x, and 3x (based on ratio 1:2:3) Step 2: Apply angle sum property: x + 2x + 3x = 180° Step 3: 6x = 180° Step 4: x = 30° Step 5: The three angles are: - First angle: x = 3…
In triangle ABC, if an exterior angle at C is 110°, and angle A = 45°, find angle B.
Answer
Step 1: Recall the exterior angle theorem: Exterior angle = sum of two non-adjacent interior angles Step 2: Apply the theorem: Exterior angle at C = angle A + angle B Step 3: 110° = 45° + angle B Step…
When do you use the SSS (Side-Side-Side) congruence rule? Give an example.
Answer
Use SSS when you know all three sides of both triangles are equal. Example: Triangle ABC has sides AB = 5 cm, BC = 6 cm, AC = 7 cm Triangle DEF has sides DE = 5 cm, EF = 6 cm, DF = 7 cm Since all thre…
Triangle ABC has AB = 6 cm, angle A = 50°, and AC = 5 cm. Triangle PQR has PQ = 6 cm, angle P = 50°, and PR = 5 cm. Are they congruent? Justify.
Answer
Step 1: Identify the given information: - Triangle ABC: AB = 6 cm, AC = 5 cm, angle A = 50° (angle between the two sides) - Triangle PQR: PQ = 6 cm, PR = 5 cm, angle P = 50° (angle between the two sid…
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