Congruence and Similarity
Math ⇒ Geometry
Congruence and Similarity starts at 7 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Congruence and Similarity.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 7
If triangle ABC is congruent to triangle DEF, what can you say about the lengths of AB and DE?
A rectangle has length 8 cm and width 4 cm. Another rectangle is similar to it and has a length of 20 cm. What is its width?
A triangle has sides of length 6 cm, 8 cm, and 10 cm. Another triangle has sides of length 9 cm, 12 cm, and 15 cm. Are these triangles congruent or similar? Explain your answer.
Explain why all equilateral triangles are similar to each other, but not necessarily congruent.
If triangle ABC is congruent to triangle DEF, and AB = 7 cm, what is the length of DE?
If triangle ABC is congruent to triangle XYZ, and angle A = 50°, angle B = 60°, what is the measure of angle X?
If triangle ABC is similar to triangle DEF and AB = 5 cm, DE = 10 cm, and AC = 7 cm, what is the length of DF?
If triangle ABC is similar to triangle DEF and the scale factor is 2, what is the ratio of their areas?
Which of the following is a correct similarity criterion for triangles?
(1) SSS
(2) SAS
(3) AA
(4) All of the above
Which of the following is a correct statement about congruent triangles?
(1) They have equal areas
(2) They have equal perimeters
(3) Both (1) and (2)
(4) None of the above
Which of the following is a necessary condition for two triangles to be congruent?
(1) All corresponding angles are equal
(2) All corresponding sides are equal
(3) Both (1) and (2)
(4) None of the above
Which of the following is NOT a congruence criterion for triangles?
(1) SSS
(2) SAS
(3) SSA
(4) ASA
Fill in the blank: If two polygons are similar, their corresponding angles are ________.
Fill in the blank: If two triangles are congruent, their corresponding ________ are equal in length.
Fill in the blank: If two triangles have all their corresponding angles equal, they are ________.
Fill in the blank: The AA criterion for similarity of triangles stands for ________-________.
If two circles have the same radius, are they congruent?
If two parallelograms have equal corresponding angles and sides in the ratio 1:2, are they congruent?
If two rectangles have the same length and width, are they congruent?
If two triangles have sides 3 cm, 4 cm, 5 cm and 6 cm, 8 cm, 10 cm, are they similar?
