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
Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 17°. What is the measure, in degrees, of angle F?
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相似・全等与比例线段挑战
Triangles ABC and DEF are similar. Each side length of triangle ABC is 3 times the corresponding side length of triangle DEF. The area of triangle ABC is 170 square inches.What is the area, in square inches, of triangle DEF?
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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
The floor of a business office has an area of 1,575 square meters. An architect creates a scale model of the floor of the business office, where the length of each side of the model is \( \frac{1}{15} \) times the length of the corresponding side of the actual floor of the business office. What is the area, in square meters, of the scale model?
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相似・全等与比例线段挑战
Triangle ABC is similar to triangle PQR such that A, B, and C correspond to P, Q, and R, respectively, and angles B and Q are right angles. The measure of ∠A is 35∘ and AC = \( \frac{PR}{5} \) . What is the measure of ∠R ?
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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 96 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 triangle ABC and triangle DEF, sides AB and DE each have a side length of 6 inches, and angles A and D each have an angle measure or 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・全等与比例线段进阶
Rectangle ABCD is similar to rectangle EFGH. The area of rectangle ABCD is 648 square inches, and the area of rectangle EFGH is 72 square inches. The length of the longest side of rectangle ABCD is 36 inches. What is the length, in inches, of the longest side of rectangle EFGH?
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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 5 inches, and angles A and D each have an angle measure of 20°. 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 8 times the length of the corresponding side of ABCD. The area of ABCD is 48 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
For triangle PQR and triangle STU, angles P and S each measure 30°, QR = 16 and TU= 12. Which additional piece(s) of information is(are) sufficient to prove that triangle PQR is similar to triangle STU ?
I.The length of \( PQ \) is \( \frac{4}{3} \) the length of \( ST \) .
II. The length of \( PR \) is \( \frac{4}{3} \) the length of \( SU \) .
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相似・全等与比例线段进阶
Triangles \( JKL \)and \( PQR \)are congruent, where \( J \) corresponds to \( P \), and \( K \)corresponds to \( Q \). The measure of angle \( J \) is 55°, the measure of angle \( K \)is 45°, and the measure of angle \( L \) is 80°. What is the measure, in degrees, of angle \( P \)? (Disregard the degree symbol when entering your answer.)
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