Constructions & Rigid Transformations
A rigid transformation that moves a whole figure 2 units to the right on a coordinate grid.
What is translation?
Two triangles with 2 corresponding sides and the angle between them that are congruent, are congruent by the ___________________ Congruence Theorem.
True or False: For two triangles to be similar, all corresponding angles must be congruent.
What is true?
If sin(θ)=cos(26) is true, θ is _________.
What is 64?
In a 45-45-90 triangle, if the length of the leg is x, the measure of the hypotenuse is __________.
What is x√2?
The line by which a triangle can be reflected.
What is a reflection line?
Consider parallelogram ABCD. If the measure of angle A is 80 degrees, the measure of angle B is _______.
What is 100 degrees?
True or False: Two similar triangles are also Congruent.
What is false?
tangent
What is opposite/adjacent?
In a 30-60-90 triangle, if the longer leg is 2√3, the hypotenuse is ________.
What is 4?
A triangle can be mapped unto itself 90 degrees counterclockwise.
What is rotation?
Intersecting lines create _______ angles that are congruent.
What is vertical?
What is 2 corresponding angles?
Consider triangle ABC, where angle A is 90 degrees, side AC measures 10 in, and side CB measures 17 inches, find the sine of angle B as a ratio.
What is 10/17?
Consider triangle RST. If angle S is a right angle, side RS measures 11 cm, and side RT measures 14 cm, the measure of angle T is ________.
What is 52 degrees?
Name 2 figures that have 180 degree rotation symmetry.
What is rectangle, square, hexagon, octagon?
Two parallel lines with a transversal create ______ angles that are congruent.
What are alternate interior?
The Side-Side-Side Similarity theorem states that _______.
If all corresponding sides of two triangles have the same ratio, then the two triangles are congruent.
Consider triangle XYZ, where angle X is 90 degrees, side XZ measures 5 in, and side XY measures 12 inches, find the cosine of angle Y as a ratio.
What is 12/13?
Consider triangle DEF. If angle E is a right angle, side DE measures 6 cm, and side DF measures 19 cm, the measure of angle D is ________.
What is 72 degrees?
A line constructed through the midpoint of a line segment that creates 90 degree angles.
What is a perpendicular bisector?
Consider triangle PQR. If sides PR and PQ are congruent, and angle P measures 110 degrees, the measure of angle Q is ________.
What is 35 degrees?
Consider two triangles ABC and XYZ. If side AB is 2, side BC is 5, and side XY is 5.2, then side YZ is _____.
What is 13?
Consider triangle MNO. If angle N is a right angle, angle O measures 39 degrees, and side MN is 7 cm, how long is side NO?
What is 8.6 cm?
Consider triangle GHI. If angle I is a right angle, angle H is 4 times the measure of angle G, and side IG is 8 in, the length of side HI is ________.
What is 2.6 in?