Geometry
What is a right angle?
90°
(−3, 4). Which quadrant is it in?
II
Two angles form a straight line. One is 35°, the other measures:
145°
On a coordinate grid, point B is 6 units right and 5 units up from the origin. What are its coordinates?
A) (−6, 5) B) (6, 5) C) (5, 6) D) (6, −5)
(6, 5)
Which of these is a regular polygon?
A) A quadrilateral with sides 2, 2, 3, 3
B) A hexagon with all sides equal and all angles equal
C) A pentagon with three equal sides and two longer sides
D) A triangle with angles 30°, 60°, 90°
A hexagon with all sides equal and all angles equal
What is the distance between (2, 1) and (2, −4)?
A) 3 B) 4 C) 5 D) 6
5
A right triangle has legs of length 6 in and 8 in. What is its area?
24 in²
Point C (3, 2) is reflected across the y-axis. What are its new coordinates?
(−3, 2)
You’re designing a rectangular garden that’s 12 m long and 8 m wide. You want to lay a 1 m-wide pathway all around the inside edge of the garden.
What is the area of the entire garden?
What are the dimensions of the inner rectangle (the garden bed) after you subtract the pathway?
What is the area of just the garden bed?
How much area will the pathway cover?
Garden area = 12 m × 8 m = 96 m²
Inner dimensions = (12 − 2·1) by (8 − 2·1) = 10 m by 6 m
Bed area = 10 m × 6 m = 60 m²
Pathway area = 96 m² − 60 m² = 36 m²
Point MMM is at (−2,3)(-2,3)(−2,3).
Reflect MMM across the y-axis to get point NNN.
Translate NNN 4 units right and 2 units down to get point PPP.
What are the coordinates of P, and in which quadrant is P
P=(6,1), Quadrant I.