Plane Geometry & Similarity

Angle Relationships and Triangles

100

A right Triangle has an angle measure of 13.9 degrees. What is the measure of the missing angle?

76.1 Degrees

200

Triangle MNO is an isosceles triangle in which only one angle measures 122.6 degrees. What is the measure of one of the two congruent angles?

28.7 degrees

300

Triangle XYZ has the following angle measures,

x= (2x+5)

y= 3x

z= 90 degrees

Find the measure of angle y.

y= 51 degrees

400

In triangle QRS, the measure of angle RSQ is 29.1 degrees, and the measure of angle QRS is 80 degrees. What is the measure of angle SQR?

70.9 degrees

500

Find the measure of angle L in triangle JKL with the following measurements.

J= 2x

K= 45 degrees

L= x+15

55 Degrees

Circumference

100

What is the formula for finding circumference of a circle?

C=𝛑d or C=2𝛑r

200

Find the circumference for a circle with a radius of 6 in.

37.68 in

300

Find the circumference of a circle with a diameter of 14 cm.

43.96 cm

400

Find the radius of a circle with a circumference of 21.98 m.

3.5 m

500

What is the diameter of a circle with a circumference of 100.48 m?

32 m

Area of a Circle

100

What is the formula for finding the area of a circle?

A=𝛑r²

200

Find the area of a circle with a radius of 3 in.

28.26 in²

300

What is the area of a circle with a radius of 6 m?

113.04 m²

400

What is the area of a circle with a diameter of 10 cm?

78.5 cm²

500

Find the radius of a circle with an area of 78.5 in²

5 in

Similarity

100

What makes two shapes similar?

Same shape, not same size

200

How can you solve for missing side lengths in similar figures?

Set up a proportion

300

Rectangle GHIJ has a base of 5 cm and a height of 2.5 cm. Rectangle KLMN has a base of 20 cm and a height of 10 cm. What is the scale factor of these similar figures?

4

400

Triangle ADE has a base of 7 cm and a height of 5 cm. Triangle ABC has a base of 14 cm, what is the height of triangle ABC?

10 cm

500

Suzie walks 1.5 miles to school. When she looks at the map it shows the scale to be 1 cm=0.5 mi. What is the distance between Suzie's house and her school on the map?

3 cm

Area of Triangles and parallelograms

100

What is the formula for finding the area of a parallelogram?

A=bh

200

What is the formula for finding the area of a triangle?

A= ¹/₂ bh

300

What is the formula for finding the area of trapezoid?

A=¹/₂ (b₁+b₂)(h)

400

What is the area of a right triangle with a height of 8.9 cm and a base of 14.3 cm?

63.64 cm²

500

A triangle has an area of 38.4 cm² the height of the triangle is 12.8 cm. What is the length of the base of the triangle?

6 cm