Ncert -class 10-Maths- Triangles 1 Welcome to your Ncert -class 10-Maths- Triangles 1 1. theorem states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 3. Which of the following statement is false? All isosceles triangles are similar. None of the above All quadrilateral are similar. All circles are similar. None 4. In two similar triangles ∆ABC and ∆DEF, AB = 15cm, DE = 5cm. If AL and DM are the altitudes of the triangles ABC, DEF respectively, then what will be the ratio of their altitudes? 3 : 1 2:1 1:3 1:2 None 5. In ∆ABC and ∆DEF, ∠F = ∠C, ∠B = ∠E and AB = 1/2 DE. Then, the two triangles are: Congruent as well as similar. Similar but not congruent. Congruent but not similar Neither congruent nor similar. None 6. In ∆ABC and ∆DEF, ∠B = ∠E, ∠C = ∠F and AB = 3DE. Then the two triangles are – similar but not congruent congruent as well as similar congruent but not similar neither congruent nor similar None 7. M and N are respectively points on the sides AB and AC of triangle ABC such that AM = 3cm, BM = 5cm, BC = 12,8 cm and MN II BC. Then length of MN(in cm) is 7.6 2.5 4.8cm 19.2 None 8. D and E are respectively the points on the sides AB and AC of ∆ABC such that AD = 2cm, BD = 3cm, BC = 7.5cm DE ∥ BC; then length of DE is – 2.5 cm 3cm 5cm 6cm None 9. Two triangles are said to be if corresponding angles of two triangles are equal. 10. In a right angle triangle the perpendicular drawn from the mid-point of the hypotenuse is ______ the other side Triset None of these Both Bisect None 11. In two equilateral triangle the ratio of their area is 25: 36 then what is the ratio of each side of triangle ? 5: 4 5: 6 4: 5 6: 7 None 12. The area of a right angled triangle is 40 sq cm and its perimeter is 40 cm. The length of its hypotenuse is 17 cm data insufficient 18cm 16cm None 13. Δ ABC is such that AB = 3cm BC = 2 cm and CA = 2.5cm. If Δ ABC ∼ Δ DEF, EF = 4, the perimeter of Δ DEF is 15cm 7.5cm 30cm 225cm None 14. Pari and her friends love wafers, though her parents always scold her for eating only junk food and fried items as she has gained considerable weight recently. One day, she went to the market and got these wafers which really fascinated her as all of these were triangular in shapes.She took two triangular shaped wafers and marked them ABC and PQR. Then if in the triangles ABC and PQR, AB/QR = BC/PR = CA/PQ then, ∆BCA ~ ∆PQR ∆PQR ~ ∆ABC ∆CBA ~ ∆PQR ∆PQR ~ ∆CAB None 15. While driving through the hills, Aman observed a bridge in the shape of a trapezium with the diagonal AC and BD intersecting each other at the point O.Which of the following statement is true regarding similarity of triangles formed? ∆AOB ~ ∆COD by AA similarity criterion. ∆AOB ~ ∆DOC by SSS similarity criterion. ∆BOC ~ ∆AOD by SAS similarity criterion ∆BOC ~ ∆DOA by AA similarity criterion. None 16. Assertion : In the Δ ABC, AB 24 = , cm BC 10 = and cm AC 26 = , then ΔABC is a right angle triangle.ReansoA : If in two triangles, their corresponding angles are equal, then the triangles are similar. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A) Assertion (A) is true but reason (R) is false. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is false but reason (R) is true. None 17. Consider the statements below.Statement 1: All circles are similar.Statement 2: All squares are similar.Statement 3: All right triangles are congruent.Statement 4: All equilateral triangles are congruent.Which statement is/are correct? Statement 2 and Statement 4 Statement 3 and Statement 4 Statement 1 and Statement 2 Statement 1 and Statement 3 None 18. The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first triangle is 9 cm, then the corresponding side of second triangle is cm 19. If a parallel line intersects the mid point of the two sides of the triangle then why can you say about the ration obtained ? The ratio obtained are equal The ratio obtained are unequal None of these The ratio obtained are sometime equal and some time unequal None 20. Consider the statements below.Statement 1: All circles are similar.Statement 2: All squares are similar.Statement 3: All right triangles are congruent.Statement 4: All equilateral triangles are congruent.Which statement is/are correct? Statement 2 and Statement 4 Statement 3 and Statement 4 : Statement 1 and Statement 2 Statement 1 and Statement 3 None 21. The shadow of a small tree of height 12m is 3m. At the same time the shadow of a big tree of height 30m is _________. 10m 7.5m 10.5 m 15m None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
