In an ordered pair (x, y), which coordinate is written FIRST? — x (horizontal).The x-coordinate (horizontal) is ALWAYS written first in an ordered pair (x, y).
What are the coordinates of the ORIGIN? — (0, 0).The origin is where the x-axis and y-axis cross. Its coordinates are (0, 0).
To plot the point (5, 3), you move: — 5 right, then 3 up.Always x first (right/left), then y (up/down). (5, 3) = 5 right, then 3 up.
The HORIZONTAL axis is called the: — x-axis.The x-axis is the horizontal (left-right) axis on the coordinate plane.
The VERTICAL axis is called the: — y-axis.The y-axis is the vertical (up-down) axis on the coordinate plane.
A point at (0, 4) is located: — On the y-axis, 4 units up.x = 0 means no horizontal movement — the point is ON the y-axis. y = 4 means 4 units up.
Which point is furthest from the origin: (3, 4), (2, 6), (5, 1), or (4, 4)? — (4, 4).Distance from origin = √(x²+y²). (3,4)=5; (2,6)=√40≈6.3; (5,1)=√26≈5.1; (4,4)=√32≈5.66. Closest to farthest: (4,4) is about 5.66 but (2,6) is about 6.3. So (2,6) is farthest.
What ordered pair describes a point 6 units right and 0 units up? — (6, 0).6 right = x = 6. 0 up = y = 0. Point is (6, 0) — on the x-axis.
Every square is a rectangle. Why? — Because squares have 4 right angles, which is what rectangles require.Rectangle requires: 4 right angles. A square has 4 right angles, so it qualifies as a rectangle. The extra property (equal sides) makes it a SPECIAL rectangle.
Is every rectangle a square? — No — rectangles do not need all sides equal.Squares need 4 EQUAL sides. Rectangles only require 4 right angles. A rectangle with unequal sides is NOT a square.
A PARALLELOGRAM has: — 2 pairs of parallel sides.A parallelogram has 2 pairs of parallel sides. It does NOT require right angles or equal sides (unless it is a special type).
A TRAPEZOID has: — Exactly 1 pair of parallel sides.A trapezoid has exactly 1 pair of parallel sides (the bases). The other two sides (legs) are not parallel.
Which shape is the MOST SPECIFIC (fewest other shapes it belongs to)? — Square.Square is the most specific — it has the most requirements (parallel sides + right angles + equal sides). It belongs to rectangle, parallelogram, trapezoid, and quadrilateral.
A quadrilateral is ANY shape with: — 4 sides.Quadrilateral = any closed 2D shape with exactly 4 sides. It is the BROADEST category.
Does a rhombus belong to the parallelogram category? — Yes — a rhombus has 2 pairs of parallel sides.A rhombus has 4 equal sides AND 2 pairs of parallel sides — so YES, it is a parallelogram!
If a shape is a square, which other categories does it ALSO belong to? — Rectangle, parallelogram, trapezoid, quadrilateral.A square belongs to ALL of: rectangle (4 right angles), parallelogram (2 pairs parallel), trapezoid (at least 1 pair parallel), quadrilateral (4 sides).
The sum of interior angles of ANY triangle is: — 180°.The three interior angles of any triangle ALWAYS add up to exactly 180°.
An EQUILATERAL triangle has: — All 3 sides equal (and all angles = 60°).EQUILATERAL = all 3 sides equal. Since angles sum to 180° and all angles are equal, each = 180°÷3 = 60°.
An ISOSCELES triangle has: — Exactly 2 sides equal.ISOSCELES = exactly 2 sides equal (and the angles opposite those sides are also equal).
A SCALENE triangle has: — No sides equal (all different).SCALENE = no two sides are equal (all 3 sides have different lengths).
A RIGHT triangle has: — One angle equal to exactly 90°.A RIGHT triangle has exactly one 90° angle. The other two angles are acute and sum to 90°.
An OBTUSE triangle has: — One angle > 90°.An OBTUSE triangle has one angle that is GREATER than 90° (and the other two must be acute).
An ACUTE triangle has: — All angles less than 90°.An ACUTE triangle has ALL THREE angles less than 90°. Every angle is "sharp" (acute).
A triangle has angles 45° and 90°. What is the third angle? — 45°.180° − 90° − 45° = 45°. The third angle is 45°.