Triangles!
PROOFS :)
Polygons &
// o grams
Right Triangles
Circles
Summer is upon us...
100

Always, Sometimes, Never

Similar triangles are congruent. 

Sometimes

100

Fill in reason #2.

Defn. of Perpendicular 
100

One interior angle of polygon measures 157.5°, how many sides does the polygon have?

n = 16

100

Find m∠A. Round to the nearest tenth.

m∠A = 36.9°

100

Identify the coordinate of the center and the radius. Write any radicals in simplified radical form.

(x+4)^2+(y-2)^2=32

Center: (-4, 2)

Radius: 

4\sqrt 2

100

What is America’s number one summer BBQ food?

Hamburgers

200

Solve for m∠R. 

m∠R = 19°

200

Fill in reasoning #2 and #3. BOTH MUST BE CORRECT.

2. Defn. of Midpoint

3. HL Theorem

200

In the rhombus, m∠4 = 3x - 2 and m∠5 = 2x + 7. Find m∠2.

m∠2 = 65°

200

The sides of a square are 4in, how long is the diagonal? Write answer in simplified radical form.

4\sqrt 2

200

Write an equation to represent the circle pictured.

(x-4)^2+y^2=4

200

 What country were the first modern Olympics held?

Greece

300

Find the perimeter.

perimeter = 35

300

Fill in reason #4.

CPCTC

300

Answer the following with always, sometimes, or never. ALL MUST BE CORRECT.

a. Rectangles are ______________ squares. 

b. A hexagon is ______________ a polygon.

c. The diagonals of a rectangle are ______________ congruent.

d. In a rhombus, diagonals  ______________ bisect each other. 

a. Sometimes

b. Always

c. Always 

d. Always

300

A ladder has a length of 6 meters and leans against a vertical wall. The angle between the ladder and the horizontal ground is 65°. How far is the base of the ladder from the wall? Sketch a diagram and find this value. Round to the nearest tenth, if necessary. BOTH MUST BE CORRECT. 

2.5 meters

300

Write an equation to represent the circle.

Center: (-5, 6)

Radius: 

6\sqrt2

(x+5)^2+(y-6)^2=72

300

What percentage of a watermelon’s overall mass is water?

92%

400

For a-c, determine if a theorem can be used to show that the two triangles are congruent? If yes, state the theorem. If not, state NEI. ALL MUST BE CORRECT!

a. 


b. 


c. 





 


a. AAS/ SAA

b. HL

c. NEI

400

Fill in reason #4.

Defn. of Isosceles Δ

400

Find the value of x.

x = 5

400

Find the value of x. Round to the nearest tenth, if necessary. 

x = 61.5

400

Write an equation to represent the circle.

Center: (3, -2)

Point on Circle: (11, 4)

(x-3)^2+(y+2)^2=100

400

What do the letters SPF mean when talking about sunscreen?

Sun Protection Factor

500

Use the additional given information to determine if a theorem can show the triangles congruent.If yes, state the theorem. If not, state NEI.

HL

500

Complete the proof.

2. Defn of Bisect

3. Alt. Int. Angles Theorem

4. Defn. Vertical Angles

5. AAS/SAA Theorem

500

In rhombus ABCD, DB = 8 and AC = 12, solve for DC. Round to the nearest tenth, if necessary.

DC = 7.2

500

Solve for x. Write answer in simplified radical form. 

5\sqrt 2

500

Write an equation to represent the circle.

Endpoints of Diameter: (2, -1), (10, 7)

(x-6)^2+(y-3)^2=32

500

When is Ms. Wallace's birthday?

June 26

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