The term triangle refers to a figure that consists of three vertices and three sides. Triangles are of various types. All the types of triangles are different from each other.
The triangle is of different types, and all the properties of the triangle are discussed below:
The basic formula for a triangle is ½ . b. h. Pascal invented the triangles for the first time in 1653.
Triangles Sample Questions for Class 10
Question 1
What is the missing statement in step 6 of the following proof?Given: Quadrilateral ABCD with diagonal bar{BD} where bar{AB} || bar{CD} and bar{BC} || bar{AD}Prove: bar{AB} ~= bar{CD} \ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \ " Reason "1. bar{AB} || bar{CD} 1. "Given"2. ang ABD ~= ang CDB2. "Alternate interior angles are congruent"3. bar{BC} || bar{AD}3. "Given"4. ang ADB ~= ang CBD 4. "Alternate interior angles are congruent"5. bar{BD} ~= bar{BD} 5. "Reflexive Property"6. 6. "Angle-Side-Angle Postulate"7. bar{AB} ~= bar{CD} 7. "Corresponding sides of congruent triangles are congruent"
A. Delta ABC ~= Delta ACD
B. Delta ABD ~= Delta CDB
C. Delta ABC ~= Delta CDA
D. Delta ABD ~= Delta DCB
Question 2
In triangle ABC, angle A = 61°, angle B = 47°, AC = 7.2 cm. Find BC.
A. 7.6 cm
B. 8.6 cm
C. 4 cm
D. 10 cm
Question 3
Which of the following transformations would show if Delta ABC ~= Delta ADC ?
A. Translate triangle ABC down by vertical distance between bar{AC} and point B.
B. Reflect triangle ABC over the line containing bar{AC}.
C. Rotate triangle ABC 180° around midpoint of bar{AC}.
D. Translate triangle ABC down by half the vertical length between bar{AC} and point B, and then rotate it 180° about its centroid.
Question 4
What is the total amount of degrees when you sum the interior angles of a triangle?
A. 90
B. 360
C. 45
D. 180
Question 5
Using the measurements given below, find the hypotenuse of the triangle.Leg = 20 unitsLeg = 21 units
A. 400 units
B. 841 units
C. 29 units