5272道题目5525 条题源记录 · 相同内容已合并
相似・全等与比例线段挑战
In triangle \( RST \), angle \( T \) is a right angle, point \( L \) lies on \( RS \), point \( K \) lies on \( ST \), and \( LK \) is parallel to \( RT \). If the length of \( RT \) is 63 units, the length of \( LK \) is 21 units, and the area of triangle \( RST \) is 252 square units, what is the length of \( KT \), in units?
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相似・全等与比例线段进阶
In the figure shown, triangle \( CAE \) is similar to triangle \( CBD \). The measure of angle \( CBD \) is 57°, and \( AE=24(BD) \). What is the measure of angle \( CAE \)?
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相似・全等与比例线段挑战
The table gives the perimeters of similar triangles \( TUV \) and \( XYZ \), where \( TU \) corresponds to \( XY \). The length of \( TU \) is 9.
What is the length of \( XY \)?
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相似・全等与比例线段挑战
In triangle \( ABC \), \( DE \) is parallel to \( AC \), \( BD=AD \), \( BE=9 \), and \( AC=17 \). What is the length of \( BC \)?
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相似・全等与比例线段进阶
Triangles \( ABC \) and \( A'B'C' \) are shown. Triangle \( ABC \) is dilated by a scale factor of 6 to form triangle \( A'B'C' \) . If the length of \( AB \) is 18, what is the length of \( A'B' \)?
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相似・全等与比例线段挑战
The table gives the areas and perimeters of two similar rectangles, where n is a constant.
What is the value of n?
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相似・全等与比例线段进阶
Triangle TUV is dilated by a scale factor of \( \frac{1}{2} \) to obtain triangle T'U'V' (not shown), where T corresponds to T' and U corresponds to U'. What is the measure, in degrees, of angle V'?
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相似・全等与比例线段进阶
Triangle TUV is dilated by a scale factor of \( \frac{1}{2} \) to obtain triangle T'U'V' (not shown), where T corresponds to T' and U corresponds to U'. What is the measure, in degrees, of angle V'?
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相似・全等与比例线段挑战
In triangle ABC and triangle XYZ , the measures of angles A and X are each \( 20^{∘} \) , and the lengths of \( AB \) and \( XY \) are each 16 centimeters. Which of the following additional pieces of information is(are) sufficient to prove that triangle ABC is congruent to triangle XYZ?
I. The measures of angles C and Z are each \( 25^{∘} \).
II. \( \frac{\overline{AB}}{\overline{AC}}=\frac{\overline{XY}}{\overline{XZ}} \)
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相似・全等与比例线段挑战
In triangle ABC, the measure of angle A is 56° and AC = 30. In triangle PQR, the measure of angle P is 56° and PR = 90. Which additional piece of information is sufficient to prove that triangle ABC is similar to triangle PQR?
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相似・全等与比例线段挑战
Triangle ABC is similar to triangle XYZ, where A and B correspond to X and Y, respectively. The length of each side of triangle XYZ is k times the length of its corresponding side in triangle ABC, where k is an integer greater than 1. The measure, in degrees, of angle Z can be represented by the expression \( 5x+28 \), where x is an integer. Which of the following expressions represents the measure, in degrees, of angle C for all possible values of x?
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相似・全等与比例线段进阶
In the figure, line m is parallel to line n, and lines AE and CD intersect at point B. Which additional piece of information is sufficient to prove that triangle ABC is congruent to triangle EBD?
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