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
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 140 square units. What is the area, in square units, of EFGH?
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相似・全等与比例线段挑战
In isosceles triangle ABC, sides AB and AC are congruent. Point D divides side BC such that the length of \( BD \) is \( \frac{2}{7} \) of the length of \( BC \). Point E lies on side AB and point F lies on side AC such that when segments DE and DF are drawn, angle BED is congruent to angle CFD. If the length of \( BE \) is 14, what is the length of \( CF \)?
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相似・全等与比例线段进阶
In triangle DEF, the measure of angle D is 47° and the measure of angle E is 97°. In triangle RST, the measure of angle R is 47° and the measure of angle S is 97°. Which of the following additional pieces of information is needed to determine whether triangle DEF is similar to triangle RST?
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相似・全等与比例线段进阶
Each side of square A has a length of 13 inches. Each side of square A is multiplied by a scale factor of 3 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
In triangle ABC and triangle DEF , sides AB and DE each have a side length of 10 inches, and angles A and D each have an angle measure of 40°. Which of the following additional pieces of information is(are) sufficient to prove whether triangle ABC is congruent to triangle DEF?
I. The measures of angles B and C are equal.
II. The lengths of sides AC and DF are equal.
III. The lengths of sides BC and EF are equal.
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相似・全等与比例线段挑战
Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. The area of ABCD is 90 square units. What is the area, in square units, of EFGH?
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相似・全等与比例线段进阶
For the triangles shown, triangle ABC is dilated by a scale factor of 3 to obtain triangle XYZ, where \( d=19 \). What is the measure, in degrees, of angle X?
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相似・全等与比例线段挑战
Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. The area of ABCD is 66 square units. What is the area, in square units, of EFGH?
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相似・全等与比例线段进阶
Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 64°. What is the measure, in degrees, of angle F?
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相似・全等与比例线段挑战
In triangle ABC, the measure of angle A is 52° and AC = 40. In triangle PQR, the measure of angle P is 52° and PR = 120. 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
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 72 units, the length of \( LK \) is 24 units, and the area of triangle \( RST \) is 468 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
Trapezoid CDEF is similar to trapezoid JKLM, such that C, D, E, and F correspond to J, K, L, and M, respectively. The length of each side of trapezoid JKLM is 4 times the length of its corresponding side in trapezoid CDEF. The measure of angle C is 42°. What is the measure of angle J?
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