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Jeopardy Math Review

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Jeopardy Math Review

Final Jeopardy

Congruent Triangles for 100

Name all postulates that can be used to prove triangles are congruent.

ASA, SAS, SSS, HL, AAS

Congruent Triangles for 200

____________________ extend from a vertex of a triangle and are perpendicular to the opposite side.

____________________ extend from a vertex of a triangle to the midpoint of the opposite side.

There are three interior altitudes in a/an ____________________ triangle.

In a/an ____________________ triangle, one altitude is interior and the other two are the sides of the triangle.

There is one interior altitude and two exterior altitudes in a/an _______________ triangle.

A __________________________ is both a median and an altitude.

The ____________________ of a right triangle is always the longest side.

Altitudes

Medians

acute

right

obtuse

perpendicular bisector

hypotenuse

Congruent Triangles for 300

Find the value of x that will make the triangles congruent.

x = 10

Congruent Triangles for 400

Find the value of x.

x = 8

Congruent Triangles for 500

Given angle 1 = 35º, find measure of angle 5.

angle 5 = 105º

Quadrilaterals for 100

State the five ways we can prove a quadrilateral is a parallelogram.

- Both pairs of opposite sides congruent.
- Both pairs of opposite sides are parallel.
- Both pairs of opposite angles congruent.
- One pair of opposite sides are congruent and parallel.
- Diagonals bisect each other

Quadrilaterals for 200

Find the values of x, y, and z.

x = 7, y = 5, z = 70º

Quadrilaterals for 300

Given AC = 5x – 14 and CD = 3. Find x.

x = 4

Quadrilaterals for 400

1. What is the name of this figure?

2. Starting at the top and going clockwise, fill in the blanks with the correct terms.

Trapezoid.

leg

base base

leg

The legs would have to be congruent.

3. What would have to be true for this figure to be isosceles?

Quadrilaterals for 500

Find the values of x and y.

x = 2, y = 5

Similarity for 100

Two polygons are similar if …

1)

2)

Corresponding angles are congruent.

Corresponding sides are in proportion.

Similarity for 200

Identify the scale factor between the two figures and find the values of x, y, and z.

Scale Factor = 3 : 2

x = 14, y = 12, z = 15

Similarity for 300

Use the figure to fill in the table with missing side lengths.

21 12 28

2 3 15

6 8 3

Similarity for 400

Determine whether the triangles are similar or not. If they are, identify the postulate that justifies this conclusion.

Yes - SASYes - AA

Yes SAS

Similarity for 500

Find the value of x.

x = 18/5

Right Triangles for 100

Simplify the following radical expressions.

Right Triangles for 200

Find the values of s, r, and t.

s = 3root15 (11.62)

r = 3root10 (9.49)

t = 3root6 (7.34)

Right Triangles for 300

Find the values of x.

x = 2root13 (7.21) x = root39 (6.24)

Right Triangles for 400

Determine if the triangle with the given side lengths is acute, right, obtuse, or does not exist.

4, 7, 153, 10, 11

12, 16, 206, 9, 12

23, 34, 75 4, 4, 8

7, 7, 74, 5, 6

DNE Obtuse

Right Obtuse

Obtuse DNE

Acute Acute

Right Triangles for 500

Calculate the values of x and y.

x = 5x = 6root3

y = 5root2y = 12

Trigonometry for 100

Evaluate the sin, cos, and tan of θ

sinθ = 1/2

cosθ = root3/2

tanθ = root3/3

Trigonometry for 200

Evaluate the sin, cos, and tan of θ

sinθ = 4/5

cosθ = 3/5

tanθ = 4/3

Trigonometry for 300

Find the values of x and y.

(You will need a calculator)

Round answers to the nearest hundredth.

x = 17.89y = 22.12

Trigonometry for 400

Find the values of x and y.

(You will need a calculator)

Round answers to the nearest hundredth.

x = 2.07

y = 7.73

Trigonometry for 500

Find the values of x.

(You will need a calculator)

Round answers to the nearest whole number.

x =84ºx = 48º

Final Jeopardy

CIRCLES

Please write down your wager on your paper.

Final Jeopardy

Identify the type of angle for each:

COD is a(n) angle.

AFG is a(n) angle.

AOC is a(n) angle.

AFD is a(n) angle.

FAD is a(n) angle.

ABC is a(n) angle.

ADF is a(n) angle.

central

interior

central

interior

inscribed

exterior

inscribed

In order to receive credit ALL answers must be correct.