Angle Relationships
Two angles are corresponding. The measure of the first angles is 42 degrees, what is the measure of the second angle?
42 degrees
Find the new coordinates of (10, 12) if you translate the point three units left and 4 units up.
What is (7, 16)
What is the formula for the Pythagorean Theorem?
a2+b2 = c2
What type of triangle applies to the pythagorean theorem?
Right Triangles.
If angle 1 and 2 are supplementary and the measure of angle 1 is 112, what is the measure of angle 2?
68 degrees.
Find the new coordinates of (5, 4) after you rotate the point 180 degrees.
What is (4, 5)
In Triangle DEF, the measure of angle E is 30, angle F is a right angle, what is the measure of angle D?
60 degrees.
For a right triangle, one leg is equal to 4 and the other leg is equal to 6. What is the measurement of the hypotenuse? Round to the nearest tenth.
8.9
What is the name for the two short sides of a right triangle?
Legs
If angle 1 and 2 are both Supplementary, what is the measure of angle 1 if angle 2 measures 32 degrees?
158 degrees.
What is the rule for rotating a point 90 degrees clockwise? (y, x) to ......
(y, -x)
In Triangle GHI, if angle G is 40, angle H is 50, what is the measurement of angle I?
90 degrees
The hypotenuse of a right triangle is equal to 13. One leg of the right triangle is equal to 5. What is the length of the missing side?
12
What do you call to equal angles that are on the opposite side of the transversal and on the inside of the parallel lines?
Alternate interior angles.
What is the relationship of two angles that share a vertex and form when lines two lines intersect?
Vertical Angles.
Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?
Is it possible to have two right angles in a triangle? Why or why not?
No, because two right angles add up to 180 degrees.
The bottom of a ladder must be placed 8 feet from a wall. The ladder is 17 feet long. How far above the ground does the ladder touch the wall?
15 feet
What is the relationship of two angles that add up to 180? You have to spell it right to get the credit.
Supplementary Angles.
Name the four angle relationships that tell us the angles are congruent.
Vertical, Corresponding, Alternate Interior, and Alternate Exterior
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?
What is (1,6)?
In Triangle MNO, if angle M is 3x, angle N is 2x+40, and angle I is x-20, what is the sum of the three angles?
180 degrees.
How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the top of a 12’ wall?
9 feet
What is the The Triangle Sum Theorem "formula"?
Angle 1 + Angle 2 + Angle 3 = 180 degrees