5272道题目5525 条题源记录 · 相同内容已合并
相似・全等与比例线段进阶
In triangle ABC, AB = 4,290 millimeters(mm) and BC= 4,290 mm. which statement is sufficient to prove that triangle ABC is equilateral?
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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・全等与比例线段挑战
Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 62°. What is the measure of angle F?
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相似・全等与比例线段挑战
Triangle ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 62 °. What is the measure of angle F ?
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相似・全等与比例线段进阶
\( \triangle \)QPR is similar to \( \triangle \)STR . The lengths represented by \( ST \) , \( QP \) , \( PR \) , and \( QR \) in the figure are 5, 7, 24, and 25, respectively. What is the length of \( SR \) ?
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相似・全等与比例线段进阶
The table gives the perimeters of similar triangles\( TUV \) and \( XYZ \) , where \( TU \) corresponds to \( XY \) . The length of \( TU \) is 6.
What is the length of \( XY \) ?
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相似・全等与比例线段挑战
In triangle \( FGH \)and triangle \( KLM \) , the measures of angles \( G \) and \( L \) are each 30°. The lengths of \( GH \) and \( LM \) are each 34 centimeters, and \( \frac{GH}{GF}=\frac{LM}{LK} \). Which additional piece of information would be necessary to prove that triangle \( FGH \) is congruent to triangle \( KLM \) ?
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相似・全等与比例线段进阶
The floor of a building has an area of 5,600 square feet. An architect creates a scale model of the floor of the building, where the length of each side of the model is \( \frac{1}{20} \) times the length of the corresponding side of the floor of the actual building. What is the area, in square feet, of the scale model?
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相似・全等与比例线段进阶
Each side of square A has a length of 21 inches. Each side of square A is multiplied by a scale factor of 2 to create square B. What is the length, in inches, of each side of square B?
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相似・全等与比例线段挑战
Triangles \( ABC \) and \( DEF \) are similar, where \( A \) corresponds to \( D \), and \( B \) corresponds to \( E \). The measure of angle \( A \) is 26°, and \( AB=4 \). Which of the following statements must be true?
Ⅰ.The measure of angle \( D \) is 26°.
Ⅱ.\( DE=4 \)
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相似・全等与比例线段进阶
Triangle QRS is similar to triangle FGH such that Q, R, and S correspond to F, G and H, respectively. Each side of triangle FGH has \( \frac{1}{4} \) the length of its corresponding side in triangle QRS. In triangle FGH, the measure of angle F is 35°, the measure of angle G is 8°, and FG = a. In triangle QRS, the measure of angle Q is b° and QR = 20. What is the value of a + b?
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相似・全等与比例线段进阶
Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 10 times the length of the corresponding side of ABCD. The area of ABCD is 100 square units. What is the area, in square units, of EFGH?
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