Quadrilaterals
Find the sum of the measures of the exterior angles of a convex 65-gon.
360º
Translations happen along a __________
Vector
Given the hypotenuse and the side adjacent to an angle, which trigonometric ratio would you use?
Cosine (Cos)
The legs of a right triangle both measure 12cm. What are the measures of the three angles of the triangle?
45º,45º,90º
What is the geometric mean between 9 and 16?
12
The length of one base of a trapezoid is 19 meters and the length of the midsegment 23 meters. Find the length of the other base.
27 meters.
Two quadrilaterals have the same angle measures. Are they necessarily similar?
No
What is the measure of the hypotenuse if the given angle measures 25º and the side opposite that angle measures 30cm? (Round to nearest hundredth)
sin25º= 30/x
x = 70.99cm
A 45-45-90 triangle has a leg measure of 119cm. What is the measure of the hypotenuse?
119root2 cm
What is the geometric mean between 16 and 28?
root448
or
21.17
or
8root7
The sum of the interior angles of an animal pen is 900°. How many sides does the pen have?
7 sides.
Triangle A(-1,1)B(5,2)C(1,-5) is rotated 180º. What are the coordinates of Triangle A'B'C'?
A'(1,-1)
B'(-5,-2)
C'(-1,5)
What is the measure of the opposite side if the given angle measures 67º and the side adjacent that angle measures 39cm? (Round to nearest hundredth)
tan67º= x/39
x = 91.88cm
The long leg of a 30-60-90 triangle measures 10root3 cm. What is the measure of the short leg?
10cm.
What is the length of the altitude of a right triangle if the segments it creates on the hypotenuse measure 15cm and 22cm?
Round answer to nearest hundredth
18.17cm
ABCD is a parallelogram with diagonals that intersect each other at E. If AE = x2 and EC = 6x – 8, find one of the two possible values of x.
2 or 4
Triangle ABC has side lengths AB:15cm, BC:12cm, AC: 20cm.
Triangle EFG is similar. Side FG: 45cm. What is the length of side EG?
EG = 75cm
I want to know the measure of angle A. The hypotenuse of the triangle measures 112cm. The side adjacent angle A measures 48cm.
Round to nearest hundredth
CosA=48/112
Cos-1(48/112) = A
A = 64.62º
The measure of the hypotenuse of a 45-45-90 triangle is 120cm. What is the measure of one of the legs?
60root2 cm.
What is the geometric mean between 4root2 and 9root8?
12.
The vertices of trapezoid ABCD are A(10, –1), B(6, 6), C(–2, 6), and D(–8, –1). Find the length of the midsegment.
13 units.
Point (5,3) is translated along <-7,-6>, then reflected along the x-axis, then rotated 90º. What are its new coordinates
After translation: (-2,-3)
After Reflection: (-2,3)
After rotation:(-3,-2)
I want to know the measure of angle B and the length of the hypotenuse.
The side opposite angle B measures 29cm. The side adjacent angle B measures 48cm.
Round to the nearest hundredth.
Angle B:31.14º
Hypotenuse: 56.08cm
The long leg of a 30-60-90 triangle measures 21cm. What is the measure of the hypotenuse?
14root3 cm
The altitude of a triangle measures 14cm. One of the segments it creates on the hypotenuse measures 7cm. What is the length of the hypotenuse?
35cm.