Line and Angle Relationships
What is the sum of the angles in a triangle?
180 degrees
What type of transformation flips a figure over a line?
A reflection
Name one triangle congruence shortcut.
SSS
SAS
ASA
AAS
HL
What is the abbreviation for sine?
sin
What is the distance around a circle called?
∠A and ∠B are supplementary. If ∠A = 112°, what is ∠B?
68 degrees
What is the image of point A(3, 2) after a translation (x – 4, y + 1)?
(-1, 3)
ΔABC ≅ ΔDEF by SSS. If AB = 4 and DE = 4, what can you say about ∠C and ∠F?
In a right triangle, adjacent = 3, opposite = 4, hypotenuse = 5. What is sin(θ)?
4/5
What’s the formula for the area of a circle?
A = πr²
∠1 and ∠2 are vertical angles. If ∠1 = 3x + 10 and ∠2 = 5x – 6, find x.
A triangle is rotated 90° clockwise about the origin. What is the image of (1, 3)?
(3, -1)
What’s the minimum info needed to prove triangles congruent using SAS?
Two sides and the included angle
Find tan(θ) if opposite = 3, adjacent = 4, and hypotenuse = 5
3/4
Find the circumference of a circle with diameter 10. (in terms of pi)
10π
In a linear pair, ∠X = 2x – 10 and ∠Y = x + 25. Find m∠Y.
80 degrees
A dilation with a scale factor of 2 maps point (2, –3) to what point?
(4, -6)
Are the triangles congruent? AB = DE, BC = EF, ∠B = ∠E. Justify.
Yes, by SAS
A right triangle has angle A = 30° and hypotenuse = 10. Find the length of the opposite side using sin.
Use sin(30) = 1/2
5
A circle has diameter 24. Find its area. (in terms of pi)
144π
Lines a and b are parallel. If a transversal forms ∠1 = 6x – 12 and ∠2 = 4x + 18 as corresponding angles, find x.
x = 15
Triangle ABC is reflected over the x-axis and then translated by (x + 2, y – 5). What is the image of A(–1, 4)?
(1, -9)
Given a triangle with two sides of 6 cm and 8 cm, and included angle of 45°, what congruence rule applies if another triangle has same measurements?
SAS
A ramp makes a 25° angle with the ground. The ramp is 15 ft long. How high is the ramp? (Write your answer in terms of sin)
15sin(25)
In a circle, arc AB has a central angle of 60°. If radius = 12, what is the arc length?
4π