Proofs
Congruence & Similarity
Triangles
Quadrilaterals
Trigonometry
100
What should the first line of a proof be?
The "given" information.
100
Fill in the blanks: If two shapes have matching angle measures that are all congruent, but their side lengths are not equal, the shapes are ______________.
similar
100
How many degrees do the interior angles of a triangle add up to?
180 degrees
100
Fill in the blanks: The word-stem "quad" means _____
4
100
Fill in the blanks: sine = __________ over __________
opposite (over) hypotenuse
200
Fill in the blanks: If you see the word "prove" in a problem, you should set up a _______________ with _______________ on the left and _______________ on the right
T-chart...statements...reasons
200
The symbol ~ means ___________
similar
200
Fill in the blanks: A triangle with 3 congruent sides is called an ___________ triangle.
equilateral
200
Fill in the blanks: a rhombus is a quadrilateral where all sides are ____________ and diagonals are _____________
equal/congruent ... perpendicular
200
Fill in the blanks:
1. _________ = opposite over hypotenuse
2. cosine = _________ over _________
3. tangent = _________ over __________
1. sine
2. adjacent (over) hypotenuse
3. opposite (over) adjacent
300
What are the 5 shortcuts (theorems) you can use to prove triangles are congruent?
1. ASA
2. AAS
3. SAS
4. SSS
5. HL
300
Fill in the blanks: If a shape can be mapped onto another shape using a sequence of rigid transformations, the shapes must be ________________
congruent
300
Triangle ABC is an equilateral triangle. What is the measure of angle C?
60 degrees
300
Fill in the blanks: Opposite sides of a parallelogram are _________ and ___________
parallel....congruent
300
Fill in the blank:
Arcsine (or inverse sine), arccosine (or inverse cosine), and arctangent (or inverse tangent) are functions that are used to find the measure of an unknown ___________ of a triangle.
angle
400
Fill in the blanks: If parallel lines are cut by a transversal, then ____________ ____________ __________ are congruent.
alternate interior OR alternate exterior OR corresponding
400
Trapezoid ABCD is congruent to trapezoid KLMN. Which line segment is congruent to line segment DA?
Line segment NK
400
What is the formula for the Pythagorean theorem?
a2 + b2 = c2
400
Fill in the blanks: Opposite angles of a parallelogram are _________
congruent
400
You are asked to find the angle measure of an acute angle of a right triangle.
You know the side lengths of the leg opposite the angle, and the leg adjacent to the angle.
Which trig ratio should be used to find the angle measure?
arctangent, or inverse tangent
500
Fill in the blank: _________________ parts of congruent triangles are congruent
corresponding (or matching)
500
Triangle DEF is a dilation of triangle ABC. If AB = 2 and DE = 9, what is the scale factor of the dilation?
9/2
500
Triangle DEF is an isosceles triangle. The measure of angle F is 100 degrees. What is the measure of angle D?
40 degrees
500
Fill in the blanks: Consecutive angles in a parallelogram are always ___________
supplementary
500
Based on the given information, which trig ratio should be used to solve for x?
Sine (which is equal to opposite over hypotenuse)