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 11

Describe a real-world application where similarity of triangles is used.

Describe the difference between congruence and similarity in geometric figures.

Explain why the AAA criterion is not sufficient for triangle congruence.

Explain why two rectangles with the same side ratios are similar but not necessarily congruent.

Given △PQR ~ △XYZ, if PQ = 6 cm, QR = 8 cm, PR = 10 cm, and XY = 9 cm, find YZ.

Given two similar rectangles, the length and width of the first are 8 cm and 5 cm, and the length of the second is 16 cm. What is the width of the second rectangle?

Given two similar triangles, △ABC and △DEF, with AB/DE = 2/3, what is the ratio of their areas?

Given two similar triangles, the ratio of their areas is 9:16. What is the ratio of their corresponding sides?

Given two triangles, △ABC and △DEF, with AB = 5 cm, BC = 7 cm, CA = 8 cm, DE = 10 cm, EF = 14 cm, and FD = 16 cm, are the triangles similar?

If two triangles have two pairs of corresponding angles equal, what can you conclude about the triangles?

State the Side-Angle-Side (SAS) similarity criterion for triangles.