Scaled Drawings
A basketball court is 92 feet long and 49 feet wide. If a drawing is made using a scale of 10 feet = 1 inch. What is the length and width of the drawing?
9.2 inches long and 4.9 inches wide
△ ABC has side lengths that are 16m, 17m, and 18m. Is there another triangle with the same side lengths but different angles? EXPLAIN.
No because the lengths are proportional to the angles. This is a unique triangle.
Find the measure of ∠ DCB.
128°
The scale of a model train is 1 inch:15.5 feet. One of the cars of the model train is 5 inches long. What is the length, in feet, of the actual train car?
77.5 feet
Lionel drew a triangle with 40°, 35° 105°. Is there another triangle with the same three angles but with different side lengths?
Yes, as long as all three lengths increase or decrease proportionally to the angles, you can have many triangles.
Fill in the blank to make each a true statement.
∠1 and ∠4 are _______________________ angles.
∠3 and ∠4 are S_____________________ angles.
∠2 and ∠ 4 are A______________________ angles.
∠2 and ∠3 are ________________________ angles.
Vertical (or Congruent)
Supplementary (or Adjacent or Linear Pair)
Adjacent (or Supplementary or Linear Pair)
Vertical (or Congruent)
Rachel will draw a scale model of the garden she wants to plant. Her scale is 1cm to 1.5ft. What are the actual dimensions of the garden?
4.5 feet by 8.25 feet
On the grid below, draw a right triangle with a
base of 6 units and a height of 2 units. Is this a unique triangle?
Yes because it is a unique triangle.
Angles A and B are supplementary. Angle A has a measure of (4x-5)°. Angle B has a measure of 65°. What is the value of x?
x = 30
Johnny made a scale drawing of a rectangular room in his house. The actual length of the room is 15 ft. The scale used to make the drawing is 1/2 in = 2.5 ft. What is the length, in inches, of the room in the drawing?
3 inches
Which of the following are possible triangles given lengths of three sides or angle measures? (Name all that apply)
i) 3 ft, 4ft, and 5 ft. iv) 18 cm, 22 cm, and 23 cm
ii) 25°, 35°, and 115° v) 20 in, 21 in, 42 in
iii) 45°, 45°, and 90°
i, iii, iv
What is the value of in the following figure?
x = 30
Molly drew a picture of a cruise ship that he saw docked at Port Caramel. He used the scale ¼ in. : 25 ft. If his picture is 11.75 inches long, what is the length, in feet, of the actual cruise ship?
1,125 feet
Can you draw an isosceles triangle with only one 100° angle? Is this the only possibility or can another triangle be drawn that will meet these conditions?
Yes you can draw this triangle and as long as the lengths are proportional, you can have many triangles.
The square ABCD is shown below. Angle ABD is divided by diagonal AD. Write an equation and find the measure of the angle w.
0.25w + 3.75 + w = 90; w = 69