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# Jeopardy Math Review - PowerPoint PPT Presentation

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.

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Final Jeopardy

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

ASA, SAS, SSS, HL, AAS

____________________ 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

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

x = 10

Find the value of x.

x = 8

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

angle 5 = 105º

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

Find the values of x, y, and z.

x = 7, y = 5, z = 70º

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

x = 4

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?

Find the values of x and y.

x = 2, y = 5

Two polygons are similar if …

1)

2)

Corresponding angles are congruent.

Corresponding sides are in proportion.

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

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

21 12 28

2 3 15

6 8 3

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

Yes - SAS Yes - AA

Yes SAS

Find the value of x.

x = 18/5

Find the values of s, r, and t.

s = 3root15 (11.62)

r = 3root10 (9.49)

t = 3root6 (7.34)

Find the values of x.

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

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

4, 7, 15 3, 10, 11

12, 16, 20 6, 9, 12

23, 34, 75 4, 4, 8

7, 7, 7 4, 5, 6

DNE Obtuse

Right Obtuse

Obtuse DNE

Acute Acute

Calculate the values of x and y.

x = 5 x = 6root3

y = 5root2 y = 12

Evaluate the sin, cos, and tan of θ

sinθ = 1/2

cosθ = root3/2

tanθ = root3/3

Evaluate the sin, cos, and tan of θ

sinθ = 4/5

cosθ = 3/5

tanθ = 4/3

Find the values of x and y.

(You will need a calculator)

Round answers to the nearest hundredth.

x = 17.89 y = 22.12

Find the values of x and y.

(You will need a calculator)

Round answers to the nearest hundredth.

x = 2.07

y = 7.73

Find the values of x.

(You will need a calculator)

Round answers to the nearest whole number.

x = 84º x = 48º

CIRCLES

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.

ABC is a(n) angle.

central

interior

central

interior

inscribed

exterior

inscribed