What type of triangle has 2 congruent sides and 2 congruent angles?
Isosceles
100
In a 45-45-90 triangle, one leg is 4 cm long. How long is the other leg?
4 cm
100
Draw a right triangle, then draw AND LABEL its ALTITUDE.
Ms. Kern will check!
100
What are the two types of right triangles?
45-45-90 and 30-60-90
100
A triangle has one angle that measures 35 degrees and one angle that measures 46 degrees. What is the measure of the third angle?
99 degrees
200
Can you make a triangle with side lengths 3, 3, and 6? Why or why not?
No because 3+3=6. The two shorter sides of a triangle must be GREATER than the longest side.
200
In a 45-45-90 triangle, one leg is 4 cm long. How long is the hypotenuse?
4√2
200
Find the altitude of a right triangle with hypotenuse segments of 5 and 2. Write your answer in simplest radical form. (Draw a picture if you get stuck!)
√10
200
A square has 4 sides that are each 3 inches long. How long is a diagonal of the square? (Draw a picture if you get stuck!)
3√2
200
Multiply (3x + 4)(2x - 1)
Hint: Use the BOX METHOD or FOIL
6x2+8x-4
300
If a triangle has sides of 6, 8, and 10, what type of triangle is it?
Right triangle
300
The shortest leg of a 30-60-90 triangle is 9 cm long. How long is the longer LEG of the triangle?
9√3
300
Ms. Kern will draw a triangle on the board. Find the missing LEG of the triangle.
6
300
The shortest leg of a 30-60-90 triangle is 9 cm long. How long is its hypotenuse?
18 cm
300
One base angle of an isosceles triangle is 32 degrees. What is the measure of the vertex angle? (Draw a picture if you get stuck!)
116 degrees
400
A triangle has side lengths of 7, 9, and 12. What type of triangle is it?
Obtuse
400
The diagonal of a square is 7√2 m long. What is the PERIMETER of the square?
28 m
400
Find the ALTITUDE of a right triangle with hypotenuse segments of 6 and 8. Write your answer in simplest radical form. (Draw a picture if you get stuck!)
4√3
400
A rectangle has a length of 5√3 and a width of 5. How long is a diagonal of this rectangle (draw a picture if you get stuck!)
10
400
What are the zeroes of x2 - 2x - 15
Hint: The first step is to factor the expression (T-Chart!)
-3 and 5
500
An ACUTE triangle has one side that is 6 cm long and one side that is 5 cm long. What is one possible value for the third side?
Possible answers: 7 cm, 6 cm, 5 cm, 4 cm, 3 cm, or 2 cm
500
The length (longest side) of a rectangle is 15 cm. How long is the width (shortest side) of the rectangle? (Draw a picture if you get stuck!)
5√3 cm
500
Why do we solve PROPORTIONS to find the altitude geometric mean of a right triangle?
When we draw an altitude of a right triangle, we create similar triangles that have proportional sides. We solve proportions because we are comparing the ratios of the triangle sides.
500
The diagonal of a square is 12 yd long. What is the AREA of the square?
72 square yards
500
If two parallel lines are cut by a transversal, then what do we know about the SAME-SIDE INTERIOR ANGLES?
They are supplementary (They add up to 180 degrees).