3. Triangle DEF is a scale copy of triangle ABC. What is the length of DF? Explain your reasoning?

4. Rectangle A measures to be 10 inches long and 14 inches wide. Rectangular scaled copy of Rectangle A. Which of the following could be side length

A. 20 inches long and 7 inches wide
B. 5 inches long and 28 inches wide
C. 15 inches long and 21 inches wide
D. 11 inches long and 15 inches wide
E. none of the above

Give all possible names for each angle shown. calculation tip: in angle abc, b is the vertex.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Grant simplified the expression 1.5(-3.2 + 2.5) his work is shown below explain the error in grants work