Triangles 1 and 2 are similar. What ratio relates a side length of triangle 1 to the corresponding side length of triangle 2? Fill in the box to complete the ratio.
Triangle A B C is labeled Triangle 1. Side A C is 17, C B is 15, A B is 8. Angle C is 28 degrees and angle A is 62 degrees. Triangle D E F is labeled Triangle 2. Side D F is 25.5, F E is 22.5 and D E is 12. Angle D is 62 degrees, F is 28 degrees, and E is 90 degrees.
to 12
The ratio that relates a side length of triangle 1 to the corresponding side length of triangle 2 is 17 to 12.
What is another name for Angle 2?
Lines E H and D F intersect at point G. Angle 2 is formed by line segments D G and G E and angle 1 is formed by line segments E G and G F.
Angle D G E
Angle G E D
Angle E G F
Angle G E F
Another name for Angle 2 is "Angle GED".
In the diagram, what is the measure of angle 1 to the nearest degree?
A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 125 degrees, blank, blank, (4 x minus 5) degrees; blank (5 x) degrees, blank, 1.
33°
55°
75°
105°
To find the measure of angle 1, we can look for the corresponding angle that is congruent to it. Since we are given that the angle clockwise from the top left is 125 degrees, and angle 1 is across from it due to the transversal intersecting the lines, angle 1 must also measure 125 degrees. Therefore, the measure of angle 1 is 125°.
try again
Apologies for the confusion.
To find the measure of angle 1, we need more information or a clearer description of the diagram. The given information does not specify the relationship between angle 1 and the other angles or lines in the diagram, so we cannot determine its measure.
Parallel lines s and t are cut by a transversal r.
Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed by lines r and s are 1, 2, 3, 4; formed by lines r and t are 5, 6, 7, 8.
Which angles are alternate interior angles?
Angle3 and Angle5
Angle1 and Angle7
Angle3 and Angle7
Angle4 and Angle5
The alternate interior angles are Angle3 and Angle7.
To determine the ratio relating the side lengths of Triangle 1 to Triangle 2, we need to find the corresponding sides in both triangles.
In Triangle 1 (A B C), let's label the side opposite angle A as a (side AC), the side opposite angle B as b (side BC), and the side opposite angle C as c (side AB). We have:
a = 17
b = 15
c = 8
In Triangle 2 (D E F), let's label the side opposite angle D as d (side DF), the side opposite angle E as e (side EF), and the side opposite angle F as f (side DE). We have:
d = 25.5
e = 22.5
f = 12
Now, let's find the ratio of corresponding side lengths between the two triangles. We need to find the ratio of a to d, b to e, and c to f.
a/d = 17/25.5 = 2/3
b/e = 15/22.5 = 2/3
c/f = 8/12 = 2/3
So, the ratio that relates a side length of Triangle 1 to the corresponding side length of Triangle 2 is 2/3.