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
The floor of a library has an area of 4,375 square feet. An architect creates a scale model of the floor of the library, where the length of each side of the model is \( \frac{1}{25} \)times the length of the corresponding side of the floor of the actual library. 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 34 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
In triangle \( FGH \) and triangle \( KLM \), the measures of angles \( G \) and \( L \) are each 60°. The lengths of \( GH \) and \( LM \) are each 52 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
In the figure shown, triangle \( CAE \)is similar to triangle \( CBD \). The measure of angle \( CBD \) is 59°, and \( AE=28(BD). \)What is the measure of angle \( CAE \) ?
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相似・全等与比例线段挑战
In the figure, \( LQ \) intersects \( MP \) at point \( R \), and \( LM \) is parallel to \( PQ \). The lengths of \( MR \) and \( RP \) are 8 and 14 units, respectively. The area of \( \triangle LMR \) is 36 square units. What is the area of \( \triangle PQR \), in square units?
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相似・全等与比例线段挑战
In the figure shown, triangle \( CAE \) is similar to triangle \( CBD \). The measure of angle \( CBD \) is 56°, and \( AE=24\left(BD\right) \). What is the measure of angle \( CAE \)?
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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 = 35. In triangle PQR, the measure of angle P is 52° and PR = 105. Which additional piece of information is sufficient to prove that triangle ABC is similar to triangle PQR?
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相似・全等与比例线段进阶
In the figure shown, triangle CAE is similar to triangle CBD. The measure of angle CBD is 56°, and AE = 22(BD). What is the measure of angle CAE?
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相似・全等与比例线段挑战
In the figure shown, \( WZ \) and \( XY \) intersect at a point \( Q \). \( YQ=27 \), \( WQ=90 \), \( WX=60 \), and \( XQ=110 \). What is the length of \( YZ \) ?
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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 \( AE=21\left(BD\right) \).What is the measure of angle CAE?
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相似・全等与比例线段挑战
In triangle \( ABC \), point \( D \) is the midpoint of segment \( AB \) and point \( E \) is the midpoint of segment \( BC \). If \( BD=8 \) and \( DE=14 \). What is the length of segment \( AC \) ?
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相似・全等与比例线段挑战
Parallelogram \( PQRS \) is similar to parallelogram \( TUVW \), such that \( P \), \( Q \), \( R \), and \( S \) correspond to \( T \), \( U \), \( V \), and \( W \), respectively. If \( PQ=28TU \), then which of the following must be true?
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