Triangles
What is the sum of the interior angles in any triangle?
180°
True or False: All parallelograms are rectangles.
False
What is the name of a segment whose endpoints are on the circle?
Chord
What is a pair of angles called that add up to 90°?
Complementary angles
What type of transformation flips a figure over a line?
Reflection
Classify the triangle with sides 7 cm, 7 cm, and 10 cm.
Isosceles
What is the name of a quadrilateral with exactly one pair of parallel sides?
Trapezoid
What is the formula for the circumference of a circle?
C=2πr
In the diagram, ∠1 and ∠2 are corresponding angles formed by a transversal crossing two parallel lines. If ∠1 measures 65°, what is the measure of ∠2?
65°
Which transformation preserves angle measure and side length (distance)?
A) Dilation
B) Translation
C) Rotation
B and C
Triangle ABC has sides AB = 8 cm, BC = 6 cm, and AC = 10 cm. Determine whether it is a right triangle.
Yes, it is a right triangle.
A parallelogram has adjacent angles measuring (3x+15) and (5x-5). Find the value of x.
x=21.25
A central angle measures 60°. What is the arc length on a circle with radius 6?
2π
Which angle pairs are always congruent?
A) Adjacent
B) Vertical
C) Supplementary
B) Vertical
A triangle is rotated 90° clockwise about the origin. What happens to point (3, 2)?
New point: (2, -3)
A triangle has sides 5 cm, 7 cm, and x cm. What values can x be?
2< x <12
Which properties are always true for a rectangle? (Choose all that apply)
A) Opposite sides are congruent
B) Diagonals are congruent
C) Diagonals are perpendicular
A and B
A tangent intersects a radius at what angle?
90°
In a triangle, if one angle is 50° and another is 60°, what is the measure of the third angle?
70°
Which transformation changes the size of a figure but not the shape?
Dilation
Two triangles have corresponding angles congruent and proportional sides. What type of triangle similarity is this?
AA (Angle-Angle) Similarity Postulate
A quadrilateral has vertices A(1, 2), B(5, 2), C(4, 5), and D(0, 5). How would you prove that it is a parallelogram but not a rectangle.
Show that both pairs of opposite sides are parallel, so it is a parallelogram.
Slopes of adjacent sides are not negative reciprocals → not perpendicular → not a rectangle.
The measure of an inscribed angle is 35°. What is the measure of its intercepted arc?
70°
Two parallel lines are cut by a transversal. If one angle is 120°, what is the measure of its corresponding alternate interior angle?
120°
Create a rule for the sequence of transformations that maps triangle A to triangle B: A reflection across the x-axis followed by a translation 4 units right.
(x, y) → (x + 4, –y)