Geometry and Measurement

Quadrilaterals

100

What is the formula to find the area of a rectangle?

A=bh

200

What is the formula to find area of a trapezoid?

A=¹/₂(b₁+b₂)h

300

An international soccer match takes place on a field with an area of 9,600yds². If the base of the field is 120yds, then what is the height?

*Show all work and units to receive points.*

h=80yds

400

The area of a parallelogram is 74.4m², with a height of 6m. What is the measurement of the base?

*Show all work and units to receive points.*

b=12.4m

500

The area of a trapezoid is 24in², with a base of 6.4in and 3.2in. What is the height?

*Show all work and units to receive points.*

h=5in

Triangles

100

What is the formula to find the area of a triangle?

A=¹/₂bh

200

What is the area of a triangle with a base of 16m and a height of 6.25m?

*Show all work and units to receive points.*

A=50m²

300

A triangular college pennant flag has a base of 12in and a base of 30in. How much wall space will you need to hang six pennants?

*Show all work and units to receive points.*

A=1,080in²

400

The area of a triangle is 54ft², with a base of 9ft. What is the height?

*Show all work and units to receive points.*

h=12ft

500

A square has an area of 400in². Inside the square is a triangle with a base of 20in. What is the area of the triangle?

*Show all work and units to receive points.*

Hint: when in doubt, draw it out.

A=200in²

Angles

100

The three angles of a triangle have a sum of what?

*Label the unit to earn points.*

180^o

200

A triangle has an angle measurement of 42^o and 67^o. Create an equation to solve for the missing length.

42+67+x=180
109+x=180
or
180-67-42=x
180-109=x

300

In triangle LMN, the measure of angle L is 32^o. Angle M is a right angle. What is the measure of angle N in degrees?

*Show all work and units to receive points.*

58^o

400

A triangle has two congruent angles measuring 34^o. Write and solve an equation to find the missing angle.

*Show all work and units to receive points.*

x+34+34=180

x=112

500

Prove that triangle ABC can have angle measures of 31^o, 40^o, and 99^o. 

No, the sum of the triangle is 170^o

Volume

100

What is the formula for volume of a rectangular prism?

V=Bh

200

What does B represent in our formula?

Area of the base

300

A terrarium measures 9in wide by 6in long by 10in high. The terrarium is measured half way with dirt. How many cubic inches of dirt will be in the terrarium?

*Show all work and units to receive points.*

V=270in³

400

If the volume of a rectangular prism is 315m³ and the area of the base is 45m², then what is the height of the prism?

*Show all work and units to receive points.*

height=7m

500

A cube is made up of 27 smaller cubes. If each of the smaller cubes measures 5in on each side, what is the volume of the entire cube?

*Show all work and units to receive points.*

V=3,375in³

Bonus

100

What university did Mrs. Taylor decorate her room with?

TSU

Tarleton State University

200

What university did Mr. Leonhardt graduate from?

Texas Tech

300

What is the mascot of Ms. Rivera's university?

Roadrunner

400

What university is on Ms. Liz's old classroom door? (across from Mr. Leonhardt)

WGU

Western Governors University

500

What is the mascot of Mrs. Swientek's university?

Razorbacks