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.
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See sample questions for grade 8
Explain the meaning of 'corresponding parts of congruent triangles are equal' (CPCTC).
Explain the SSS similarity criterion for triangles.
Explain why all circles are similar to each other.
Explain why the SSA condition does not guarantee triangle congruence.
Given two triangles, △PQR and △XYZ, with PQ = XY, QR = YZ, and ∠Q = ∠Y, are the triangles congruent?
If △ABC ~ △DEF and AB = 4 cm, DE = 8 cm, and the area of △ABC is 10 cm², what is the area of △DEF?
If △ABC ~ △DEF and AB = 6 cm, DE = 9 cm, and BC = 8 cm, what is the length of EF?
If △ABC ≅ △DEF and ∠A = 50°, ∠B = 60°, what is the measure of ∠D?
If △ABC ≅ △DEF, which of the following statements is true?
(1) AB = DE
(2) ∠A = ∠F
(3) BC = EF
(4) AC = DF
Which of the following is a correct similarity criterion for triangles?
(1) SSS
(2) SAS
(3) AA
(4) SSA
Which of the following is a correct statement about congruent triangles?
(1) They have equal areas
(2) They have equal perimeters
(3) Their corresponding sides and angles are equal
(4) All of the above
Which of the following is a valid congruence criterion for triangles?
(1) AAA
(2) SSS
(3) SSA
(4) AAS
Fill in the blank: If two polygons are similar, their corresponding angles are ________ and their corresponding sides are ________.
Fill in the blank: If two triangles are congruent, their corresponding ________ and ________ are equal.
Fill in the blank: If two triangles are similar, the ratio of their corresponding altitudes is the same as the ratio of their ________.
Fill in the blank: If two triangles have all corresponding sides equal, they are ________.
If two triangles have two pairs of corresponding angles equal, are they similar?
True or False: All congruent figures are also similar.
True or False: All equilateral triangles are similar to each other.
True or False: If two polygons are congruent, their corresponding diagonals are equal.
