7th grade similar figures and proportions corrections

A pair of quadrilaterals are similar. Which statements about the quadrilaterals must be true? Select TWO correct answers.

• The corresponding sides of the quadrilaterals must be congruent.

• The opposite sides of the quadrilaterals must be congruent.

• The corresponding angles of the quadrilaterals must be congruent.

• The corresponding angles of the quadrilaterals must each be right angles.

• The corresponding side lengths of the quadrilaterals must be proportional.

Triangle QRT is similar to triangle WXY. Which statement about the triangles must be true?

• Angle R is congruent to angle X.

• Angle T is congruent to angle W.

• QR/RT = XY/WX.

• RT/YW = TQ/WX.

Which proportion can be used to calculate the length of LM in centimeters?

• 7.5/11.25 = LM/4.5

• 6/7.5 = LM/9

• 11.25/LM = 4.5/7.5

• 9/LM = 6/4.5

Tags

CCSS.7.RP.A.3

Triangle XYZ is similar to triangle PQR. Which proportion can be used to find the length of PR in inches?

• 8/32 = PR/17

• 8/32 = 17/PR

Tags

CCSS.7.RP.A.3

Which proportion must be true for these figures?

• QR/QP = JK/LM

• QR/KL = RS/JK

• QR/MJ = PQ/LM

• QR/KL = PS/JM

Tags

CCSS.7.RP.A.3

If the corresponding angles of 2 polygons are congruent and the lengths of the corresponding sides of the polygons are proportional, the polygons are —

• regular

• congruent

• symmetric

• similar

The distance across Texas from north to south is approximately 800 miles. A map uses a scale in which 1 inch represents 25 miles. Which measurement is closest to the scaled distance in inches across Texas from north to south on the map?

• 768 in.

• 775 in.

• 32 in.

• 25 in.

Tags

CCSS.7.RP.A.2C

A student made a model of the Washington Monument using a scale in which 1 inch represents 15 feet. The actual height of the Washington Monument is approximately 555 feet. Which measurement is closest to the height of the model in inches?

• 37 in.

• 75 in.

• 46 in.

• 180 in.

Tags

CCSS.7.RP.A.2C

Triangle QRS and its dimensions are shown. Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle QRS?

• 8 cm, 14 cm, 17 cm

• 12 cm, 10 cm, 8 cm

• 10 cm, 24 cm, 30 cm

• 9 cm, 18 cm, 22.5 cm

What is the length of YZ if ΔRST is similar to ΔXYZ?

• 1.2 units

• 7.5 units

• 10 units

• 18 units

Tags

CCSS.6.RP.A.3A