Critical Attributes of Similarity 7.5A

Triangle ABC is similar to triangle DEF. Which proportion can be used to find the length of  $\overline{DE}$  in centimeters?

•  $\frac{4}{3}=\frac{DE}{9}$  

•  $\frac{5}{15}=\frac{DE}{4}$  

•  $\frac{4}{DE}=\frac{9}{3}$  

•  $\frac{9}{DE}=\frac{3}{5}$  

Quadrilateral KLMN is similar to quadrilateral WXYZ. Which statement about these quadrilaterals must be true?

• $\frac{KL}{WX}=\frac{WZ}{KN}$

• Angle NKL is congruent to angle ZWX

• $\frac{KL}{YZ}=\frac{LM}{ZW}$

• Angle NKL is congruent to angle XYZ

Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?

• The are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

Figure JKLM is similar to figure PQRS. Which proportion must be true for these figures?

• $\frac{QR}{QP}=\frac{JK}{LM}$

• $\frac{QR}{KL}=\frac{RS}{JK}$

• $\frac{QR}{MJ}=\frac{PQ}{LM}$

• $\frac{QR}{KL}=\frac{PS}{JM}$

Triangle ABC is similar to triangle DEF. Which pairs of angles are congruent?

• $\angle A\cong\angle E$

• $\angle A\cong\angle F$

• $\angle A\cong\angle D$

• None of the angles are congruent

Figure ABCD is similar to figure EFGH. Which of the following statements is true?

• $\angle A\cong\angle H$

• $\frac{AB}{BC}=\frac{DE}{EF}$

• $\angle B\cong\angle G$

• $\frac{AB}{EF}=\frac{DA}{HE}$

Similar polygons have corresponding sides that are proportional and corresponding angles that are

• congruent

• parallel

• similar

• proportional

Trapezoid EFGH is similar to trapezoid WXYZ. Which of the following statements is true about the trapezoids?

• $\frac{EF}{WZ}=\frac{FG}{XY}$

• $\frac{EH}{EF}=\frac{WX}{WZ}$

• $\frac{HG}{GF}=\frac{ZY}{YX}$

• $\frac{FG}{XY}=\frac{EF}{WZ}$

Which of the following best describes two figures that are similar?

• A square with sides of 4 inches and a rectangle with a length of 4 inches and a width of 8 inches

• A right triangle with $30\degree$ and $60\degree$ angles and a right triangle with two $45\degree$ angles

• Two parallelograms with corresponding angles that have a ratio of 1 to 2

• Two rectangles with a length to width ratio of 1 to 4

Which best describes the pair of figures?

• similar

• not similar