Triangles - Properties and Congruence - Proof-based Questions - Case Studies
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Q. If triangle ABC is similar to triangle DEF and the ratio of their corresponding sides is 3:5, what is the ratio of their areas?
Q. If triangle JKL is congruent to triangle MNO by the ASA criterion, what can be concluded about their sides?
Q. If triangle JKL is congruent to triangle MNO by the SAS criterion, which of the following must be true?
Q. If triangle UVW is similar to triangle XYZ and UV = 3 cm, XY = 6 cm, what is the scale factor from triangle UVW to triangle XYZ?
Q. If two triangles are congruent by the SSS criterion, what can be said about their corresponding angles?
Q. In triangle GHI, if angle G = 30 degrees and angle H = 60 degrees, what is the length of side GH if side GI = 10 cm?
Q. In triangle PQR, if PQ = 5 cm, QR = 12 cm, and PR = 13 cm, is triangle PQR a right triangle?
Q. In triangle RST, if RS = 10 cm, ST = 24 cm, and RT = 26 cm, what is the perimeter of triangle RST?
Q. In triangle RST, if RS = 5 cm, ST = 12 cm, and RT = 13 cm, is triangle RST a right triangle?
Q. In triangle UVW, if angle U = 45 degrees and angle V = 45 degrees, what type of triangle is it?
Q. Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm and 8 cm respectively, what is the ratio of the areas of the triangles?
Q. Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm, 4 cm, and 5 cm, what is the length of the longest side of triangle XYZ if its shortest side is 6 cm?
Q. Triangle GHI is an isosceles triangle with GH = GI and angle H = 30 degrees. What is the measure of angle I?
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