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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. - PowerPoint PPT Presentation
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Jeopardy Math ReviewUnit 4:
Congruent Triangles
Unit 5: Quadrilaterals
Unit 6: Ratio, Proportion, &
Similarity
Unit 7:
Right Triangles
Unit 7:
Trigonometry
100 100 100 100 100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
500 500 500 500 500
Final Jeopardy
ASA, SAS, SSS, HL, AAS
Name all postulates that can be used to prove triangles are congruent.
____________________ 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.
1. Both pairs of opposite sides congruent.2. Both pairs of opposite sides are parallel.3.Both pairs of opposite angles congruent.4.One pair of opposite sides are congruent
and parallel.5.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.
3. What would have to be true for this figure to be isosceles?
Trapezoid.
leg
base base
leg
The legs would have to be congruent.
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 : 2x = 14, y = 12, z = 15
Use the figure to fill in the table with missing side lengths.
KR RT KT KS SU KU
12 9 16
8 10 12
2 9 12
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
Simplify the following radical expressions.
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 = 6root3y = 5root2 y = 12
Evaluate the sin, cos, and tan of θ
sinθ = 1/2cosθ = root3/2tanθ = root3/3
Evaluate the sin, cos, and tan of θ
sinθ = 4/5cosθ = 3/5tanθ = 4/3
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 and y.(You will need a calculator)Round answers to the nearest hundredth.
Find the values of x.(You will need a calculator)Round answers to the nearest whole number.
x = 84º x = 48º
CIRCLES
Please write down your wager on your paper.
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.
centralinteriorcentralinteriorinscribedexteriorinscribed
In order to receive credit ALL answers must be correct.