Dana draws an F on a clear piece of plastic. Which transformation would fail to preserve congruence?(1 point)
Responses
moving the piece of plastic down and to the left
moving the piece of plastic down and to the left
looking at the F through a magnifying glass
looking at the F through a magnifying glass
turning the piece of plastic upside down
turning the piece of plastic upside down
turning the piece of plastic over
turning the piece of plastic over
If you would like to dilate a square with a side length of 8 units to create a square with a side length of 20 units, what scale factor should you use? Write your answer in decimal form.
To find the scale factor, we can divide the desired side length by the original side length:
Scale factor = desired side length / original side length
Scale factor = 20 units / 8 units = 2.5
Therefore, the scale factor to dilate the square is 2.5.
Which equation shows the relation between the vertices of a dilated figure and the vertices of the original figure when the original figure is dilated using a scale factor of 5?(1 point)
Responses
(x2,y2)=(x1+5,y1+5)
left parenthesis x subscript 2 baseline comma y subscript 2 baseline right parenthesis equals left parenthesis x subscript 1 baseline plus 5 comma y subscript 1 baseline plus 5 right parenthesis
y2=5x2,y1=5x1
y subscript 2 baseline equals 5 x subscript 2 baseline comma y subscript 1 baseline equals 5 x subscript 1 baseline
(x2,y2)=(5x1,5y1)
left parenthesis x subscript 2 baseline comma y subscript 2 baseline right parenthesis equals left parenthesis 5 x subscript 1 baseline comma 5 y subscript 1 baseline right parenthesis
y2=x2+5,y1=x1+5
The correct equation to show the relation between the vertices of a dilated figure and the vertices of the original figure when the original figure is dilated using a scale factor of 5 is:
(x2,y2) = (5x1, 5y1)
So the correct response is:
(x2,y2)=(5x1,5y1)
△CDE∼△PQR . m∠C=13° , m∠D=65° . What are the measures of angles P , Q , and R ?(2 points)
m∠P =
°, m∠Q =
° and m∠R=
°
Since △CDE ∼ △PQR, the corresponding angles will have the same measures. Therefore:
m∠P = 13°
m∠Q = 65°
m∠R = (sum of the angles in a triangle) - (m∠P + m∠Q)
The sum of the angles in a triangle is 180°, so:
m∠R = 180° - (13° + 65°)
m∠R = 180° - 78°
m∠R = 102°
Therefore, the measures of angles P, Q, and R are:
m∠P = 13°
m∠Q = 65°
m∠R = 102°
Given △ABC∼△DEF , m∠A=52° , and m∠E=11° , what is the measure of angle C ?(1 point)
m∠C =
°
Since △ABC ∼ △DEF, the corresponding angles will have the same measures. Therefore, we can set up the proportion:
m∠A / m∠D = m∠C / m∠E
Substituting the given values:
52° / m∠D = m∠C / 11°
To find the measure of angle C, we need to solve for m∠C. We can cross-multiply:
52° * 11° = m∠D * m∠C
572° = m∠D * m∠C
Since we don't have the measure of angle D, we can't determine the exact value of m∠C without more information.