Topic 1-2
What is the Midpoint Formula?
m=(x1+x2/2,y1+y2/2)
What way do you rotate when rotating a shape?
Counter clock wise
What is the Pythagorean Theorem
A2 + B2=C2
What shape has exactly one pair of parallel sides
A trapezoid
What does AAS, SSS, and SAS stand for?
Angle-Angle-similary, Side-side-side, and side-angle-side
If point P is (3,5) and point Q (1.4,4) what is the Midpoint of line PQ
(2.2,4.5)
What type of transformation flips a figure over a line?
Reflections
the sum of the interior angles in a triangle
180o
What is the sum of the interior angles of a quadrilateral?
360
what do all three angles add up to
360
If Line AB -8 - (-5) = -3 and Line BC is -5 -(-2) = -3 then what does this mean about the two lines?
Line AB and BC are congruent
A triangle is rotated 90° clockwise about the origin. What are the new coordinates of point A(2, 3)?
(3,-2)
What is the Congruence in Right triangles?
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and leg of another triangle, then the triangles are congruent.
A parallelogram has one angle measuring 115. What is the measure of the adjacent angle?
65
What makes a right triangle and right triangle?
It has one 90 degree angle
What does the acronym SOH CAH TOA stand for?
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
When you roatate a figure, does every point move the same distance
No
A ladder leans against a wall. The ladder is 13 ft long and the bottom is 5 ft from the wall. How high up the wall does the ladder reach?
12 ft
A rectangle has a length of 14 cm and a width of 9 cm. What is the length of the diagonal?
About 16.6cm
if m<1 = 138 what does m<2 equal if the equation to help solve it is m<1+m<1+m<2+m<2=360
m<2=42
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.
25.4m
A rotation of 90 degrses CLOCKWISE changes point A (9,5) to what?
(5,-9)
A triangle has side lengths 9, 12, and 15. Prove whether it is a right triangle using the Pythagorean Theorem.
225=225 Since the equation is true, the triangle is a right triangle
A trapezoid has bases of 10 cm and 18 cm with a height of 7 cm. What is its area?
A=1/2(b1+b2)h
98cm2
A triangular prism has a base area of 20 in² and a height of 10 in. Find its volume.
200in