CBSE 10th Triangle Repeated Questions 2025: Check 10 Important PYQ

Check CBSE 10th Triangle Repeated Questions 2025 Here (Image Credits: pexels.com).

CBSE 10th Triangle Repeated Questions 2025: As per the official exam dates released by the Central Board of Secondary Education (CBSE), the CBSE Class 10 Mathematics examination will be held on March 10, 2025. As per the CBSE Class 10 Mathematics Exam Pattern, Geometry will have a weightage of 15 marks. Out of 15 marks, students can expect the questions from the Triangle section to have more weightage. Students can find the 10 important CBSE 10th Triangle Repeated Questions 2025 available here.

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CBSE 10th Triangle Repeated Questions 2025

Students can find the 10 important repeated CBSE 10th Triangle questions below.

In △ABC and △DEF, ∠F=∠C, ∠B=∠E, and AB=1/2DE. Then the two triangles are:
a) Congruent, but not similar
b) Similar, but not congruent
c) Neither congruent nor similar
d) Congruent as well as similar
Answer: b
In the following figure, ST || QR, point S divides PQ in the ratio 4:5. If ST=1.6cm, what is the length of QR?
a) 0.71 cm
b) 2 cm
c) 3.6 cm
d) cannot be calculated from the given data
Answer: c
Leela has a triangular cabinet that fits under her staircase. There are 4 parallel shelves. The total height of the cabinet is 144 cm. What is the maximum height of a book that can stand upright on the bottom-most shelf?
a) 18 cm
b) 54 cm
c) 36 cm
d) 86.4 cms
Answer: b
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is NOT the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Assertion (A): In the following figure, PQ || YZ, point P divides XY in the ratio 3:4. If PQ=1.5cm. The length of YZ is 3.5 cm.
Reason (R): The ratio of XQ and XZ is 3:7.
Answer: b
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is NOT the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Assertion A: If D is a point on the side BC of a triangle ABC such that ∠ADC=∠BAC, CA²=CB*CD
Reason R: In the figure if ∠D = ∠C then △ADE = △ACB
Answer: b
While browsing through the catalogue of wooden shelves, Ravi came across this beautiful triangle-shaped shelf. On the shelf, DE is parallel to the Base BC and could be used for displaying small plants and showpieces.
(i) Find the relation between the sides AD, DB, AE, and EC. Also, mention the theorem used. Answer: AD/DB=AE/EC, Basic Proportionality Theorem
(ii) Find the value of x if AD=(x+3)cm, BD= (3x+19) cm, AE= X cm and EC= (3x+4) cm Answer: x=2
(iii) D and E are the points on the sides AB and AC respectively of an △ABC. If AD=9cm, AC=18cm, AD=2cm and AE=4cm, then prove DE||BC Answer: AD/DB=2/7 and AE/EC=1/7
In the figure, if AD= 6cm, DB=9cm, AE=8cm, and EC=12cm, and ∠ADE=48 degree. Find ∠ABC
Answer: 48 degrees (corresponding angle)
In the figure, DEFG is a square and BAC=90 degrees. Show that FG²= BGxFC
Answer: FG/BG=FC/FG
In a figure, AABC~ADEF and the length (in cm) of their sides are marked along them, then find the lengths of the sides of each triangle.
Answer: x=5
In a trapezium ABCD, AB ||DC and DC=2AB. EF || AB, where E and F lie on BC and AD respectively such that BE:EC=4:3. Diagonal DB intersects EF at G. Prove that, 7EF=11AB.