Scale Drawings, Triangles and Quadrilaterals

Scale Drawings

100

A map has a scale of 0.5 in = 125 miles. If two cities are 3.25 inches apart on the map, how many miles are they actually apart?

812.5 miles

200

A model satellite has a scale of 1 cm : 2 m. If the real satellite is 12 m wide, then how wide is the model satellite?

6 cm

300

The model of a boat is 15 inches in length. The actual boat is 45 feet in length. What is the scale of the model?

1 inch = 3 feet

400

A 2 ft tall globe is next to a baby giraffe. The globe casts a 3 ft shadow. If the baby giraffe casts a shadow that is 12 ft long, then how tall is it?

8 ft

500

A square with side length of 2 inches is enlarged by a scale factor of 3. What is the area of the new square?

36 in²

Triangles

100

What is the sum of the three interior angles of a triangle?

180^o

200

Markell drew a triangle with angles measuring 35^o and 60^o. What is the measure of the third angle?

85^o

300

True or False:

A triangle can have 3 obtuse angles.

False

It can have 3 acute angles.

400

Can a triangle be made from 3 sticks measuring 12 cm, 13 cm, and 27 cm?

NO

12 + 13 > 27

25 > 27

500

The three angles of a triangle are (x + 40)^o, (4x)^o, and 90^o. What is the value of x?

x = 10

Unique or Not?

100

Unique, Not Unique, or Impossible

70^o, 100^o, 15^o

Impossible

70 + 100 + 15 = 185

200

Unique, Not Unique, or Impossible?

10 cm, 10 cm, 10 cm

Unique

300

Unique, Not Unique, or Impossible

12 mm, 25 mm, 16 mm

Unique

12 + 16 > 25

28 > 25

400

Unique, Not Unique, or Impossible

150^o, 20^o, 10^o

Not Unique

500

Unique, Not Unique, or Impossible

2 cm, 7 cm, 5 cm

Impossible

2 + 5 > 7

7 > 7

Angles

100

If two angles are complementary, what is the sum of their angles?

90^o

200

What is the sum of two angles that are supplementary?

180^o

300

What is the supplement to a 78^o angle?

102^o

Supplementary angles have a sum of 180^o.

180 - 78 = 102

400

Angle A is vertical to Angle B. If Angle A is (2x + 4) and Angle B is 124^o, what is the value of x?

2x + 4 = 124

2x = 120

x = 60

500

Angle C and Angle D are complementary angles. If Angle C is (3x - 5) and Angle D is (2x + 5), what is the measure of Angle C?

Angle C = 49^o

(3x - 5) + (2x + 5) = 90

5x = 90

x = 18

Angle C = 3x - 5 

Angle C = 3(18) - 5 = 49

Wild Card

100

What does "K" mean in baseball?

strike out swinging

200

Who has the most #1 hits in music?

The Beatles

20 #1 hits

300

Who is the highest scoring NBA player of all time?

LeBron James

400

Who holds the record for the most Grammys?

Grammys are given for music.

Beyonce

500

How many national baseball championships do Ole Miss and MSU have combined?

2

They each have one baseball championship.

MSU (2021)

Ole Miss (2022)