Class 9 Practice – Level 3 – Set 1 – Triangles Leave a Comment / By anushka kumari / September 12, 2024 Class 9 Practice – Level 3 – Set 1 – Triangles Total questions: 15 1. △ABC is an isosceles triangle in which AB = AC. Sides BA is produced to D such that AD = AB. What is the value of ∠BCD? Topic: Isosceles Triangle Properties ∠BCD = 60° ∠BCD = 90° ∠BCD = 180° ∠BCD = 150° None 2. Find ∠ADC in the given figure Topic: Angle Calculation in Triangle 75° 95° 85° 55° None 3. In △ABC, BD ⊥ AC and CE ⊥ AB. If BD and CE intersect at O, then ∠BOC = Topic: Intersection of Perpendiculars in a Triangle ∠A 90° + A 180° + ∠A 180° − ∠A None 4. In the given figure, Y Z is parallel to MN, XY is parallel is LM and XZ is parallel to LN . Then MY is Topic: Parallel Lines and Proportion Median of △LMN The angular bisector of ∠LMN Perpendicular to LN Perpendicular bisector of LN None 5. In figure, AD and BE are medians of △ABC and BE∥DF. If the value of CF is equal to $ \displaystyle \dfrac{\text{k}}{4}\times \text{AC}$, then the value of k is Topic: Median of a Triangle 1 2 3 4 None 6. In the given figure, x is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then BY = Topic: Properties of Squares and Geometry 5 cm 6 cm 7 cm 8 cm None 7. If the bisectors of the exterior vertical angle of a triangle be parallel to the base. Then the triangle is Topic: Exterior Angle Property scalene equilateral right angled isosceles None 8. If ABC is a triangle right angled at B and M, N are the mid-points of AB and BC, then 4($ \displaystyle \text{A}{{\text{N}}^{2}}+\text{C}{{\text{M}}^{2}}$) is equal to : Topic: Right-Angled Triangle $ \displaystyle 4\text{A}{{\text{C}}^{2}}$ $ \displaystyle 5\text{A}{{\text{C}}^{2}}$ $ \displaystyle \dfrac{5}{4}\text{A}{{\text{C}}^{2}}$ $ \displaystyle 6\text{A}{{\text{C}}^{2}}$ None 9. In △ABC, D is a point on BC such that 3BD = BC. If each side of the triangle is 12 cm. then AD equals Topic: Distance Formula in Triangles $ \displaystyle 4\sqrt{5}$ $ \displaystyle 4\sqrt{6}$ $ \displaystyle 4\sqrt{7}$ $ \displaystyle 4\sqrt{11}$ None 10. If the line segment joining the midpoint of the consecutive side of quadrilateral ABCD form a rectangle then ABCD must be Topic: Properties of Quadrilaterals rhombus square kite all of the above None 11. In the given figure, ABC is a triangle in which ∠B = 2∠C. D is a point on side BC such that AD bisects ∠BAC and AB = CD. BE is the bisector of ∠B. The measure of ∠BAC is Topic: Angle Bisector and Perpendicular 72° 73° 74° 95° None 12. In the figure given below, DE = GH, FE = FG, FD = FH and ∠EFH = 90°. When of the following congruency axiom is suitable to prove that △DEF ≅ △HGF ? Topic: Congruence in Triangles S.S.S. S.A.S. R.H.S. All of the above None 13. In the following figure, ∠DAC = 30°, ∠ABC = ∠ADC = 95° and ∠BCA = 55°. If the area of △ACD is $ \displaystyle 30\text{ c}{{\text{m}}^{2}}$, what is the area of △ABC ? Topic: Angle Properties in Triangles $ \displaystyle 60\text{ c}{{\text{m}}^{2}}$ $ \displaystyle 90\text{ c}{{\text{m}}^{2}}$ $ \displaystyle 30\text{ c}{{\text{m}}^{2}}$ $ \displaystyle 40\text{ c}{{\text{m}}^{2}}$ None 14. In figure, AD = BC and BC = CA. Then, Topic: Congruence in Triangles ∠ADB = ∠DAB ∠ADB = ∠BCA ∠ADB = ∠CBA ∠DAB = ∠BCA None 15. Consider the following statements relating to the congruency of two right triangles. Topic: Congruence of Right-Angled Triangles (1) Equality of two sides of one triangle with any two sides of the second makes the triangle congruent. (2) Equality of the hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangle congruent.(3) Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangle congruent. Of these statements: 1,2 and 3 are correct 1 and 2 are correct 1 and 3 are correct 2 and 3 are correct None 1 out of 15 Time's up