Geometry Today: Multiple Choice Check 7.7 Instruction The beginning is the most important part of the work. Plato

Yesterday Assignment: – Multiple Choice Practice – Homework Quiz Wednesday – Test Chapter 7 Friday The beginning is the most important part of the work. Plato

7.7 Scale Drawings and Models Objectives: 1.Use proportions and ratios in real life Vocabulary: scale

CCSS Content Standards G.MG.3 Apply geometric methods to solve problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). Mathematical Practices 4 Model with mathematics. 7 Look for and make use of structure.

Then/Now You used scale factors to solve problems with similar polygons. Interpret scale models. Use scale factors to solve problems.

Over Lesson 7–6 5-Minute Check 3 The coordinates of the vertices of two triangles are listed in the table. What is the scale factor of the dilation from ΔABC to ΔXYZ? A. B. C.2 D.3 __

Example 2 A.2 in. : 3 yd B.1 in. : 3 yd C.2 in. : 5 yd D.3 in. : 4 yd A. SCALE MODEL A miniature replica of a fire engine is 9 inches long. The actual length of the fire engine is 13.5 yards. What is the scale of the replica?

Example 2 A.48 B.54 C.60 D.63 B. SCALE MODEL A miniature replica of a fire engine is 9 inches long. The actual length of the fire engine is 13.5 yards. How many times as long as the model is the actual fire engine?

Indirect Measurement: On a windy day, you notice another student outside in the front of the school whose jacket has been carried up to the top of the flagpole. As you watch this student attempt to climb the flagpole to retrieve their jacket you start to wonder exactly how tall the flagpole is. Since you have plenty of time to ponder as you are watching the student climb you begin to realize things… You notice that you are exactly 6 feet tall and you are currently casting (as your friend tells you by walking from heel to toe) a three foot shadow. You then figure out that the flagpole is casting an 18 foot shadow. Assuming that the sun’s rays are forming the same angle on you and the flagpole, what is the height of the flagpole?

A museum worker is attempting to check the dinosaur’s eyes. Unfortunately, the snout is too wide and he can not get a clear view. To get a better look, he places a mirror on the ground and uses the reflections. If the worker’s eyes are 5.5’ high and the mirror is 12’’ from the man and 2’ from the dinosaur, what is the height of the dinosaur?

Example 3 ARCHITECTURE

Yesterday Assignment: – Review Chapter 7 p. 524 #1-35 – Homework Quiz Wednesday – Test Chapter 7 Friday The beginning is the most important part of the work. Plato