Question

107 what is the height of the tree? remember you can use the butterfly method or find the scale factor, then use it. diagram of tree, shadow, person with height 4, shadow 6? options: a) 4, b) 24, c) 12, d) 16?
108 what do you call a geometric figure that is the same shape as another figure, but not necessarily the same size? a) congruent figure, b) scaled copy, c) scale factor, d) transversal figure.
109 an architect makes a scale drawing of a building. she uses the scale shown. 1 centimeter = 3 meters. the length of the building in the drawing is 11 centimeters. what is the actual length, in meters, of the building? a) 4 meters, b) 12 meters, c) 33 meters, d) 40 meters.

Explanation:

Question 108

• Option A: Congruent figures are same shape and size, so A is wrong.
• Option B: A scaled copy has the same shape but different (scaled) size, which matches the description.
• Option C: Scale factor is the ratio of sides, not the figure itself, so C is wrong.
• Option D: Transversal is a line intersecting parallel lines, not related, so D is wrong.

Step1: Identify the scale

The scale is 1 centimeter = 3 meters.

Step2: Calculate actual length

The drawing length is 11 centimeters. So actual length = \( 11 \times 3 \) meters.
\( 11 \times 3 = 33 \)

Answer:

B. Scaled copy

Question 109