In the image there are a pair of similar triangles and a triangle that is not similar to the others.
Determine which are similar and calculate their similarity ratio.
In the image there are a pair of similar triangles and a triangle that is not similar to the others.
Determine which are similar and calculate their similarity ratio.
Triangle ADE is similar to isosceles triangle ABC.
Angle A is equal to 50°.
Calculate angle D.
Triangle ADE is similar to triangle ABC.
Triangle ABC is isosceles.
Angle A is equal to 30°.
Calculate the size of angle E.
Triangle ADE is similar to triangle ABC.
Triangle ABC is isosceles.
Angle A is equal to 40°.
Calculate angle D.
Triangle ADE is similar to isosceles triangle ABC.
Angle A is equal to 60°.
Calculate angle E.
In the image there are a pair of similar triangles and a triangle that is not similar to the others.
Determine which are similar and calculate their similarity ratio.
Triangle a and triangle b are similar according to the S.S.S (side side side) theorem
And the relationship between the sides is identical:
That is, the ratio between them is 1:3.
and , similarity ratio of
Triangle ADE is similar to isosceles triangle ABC.
Angle A is equal to 50°.
Calculate angle D.
Triangle ABC is isosceles, therefore angle B is equal to angle C. We can calculate them since the sum of the angles of a triangle is 180:
As the triangles are similar, DE is parallel to BC
Angles B and D are corresponding and, therefore, are equal.
B=D=65
°
Triangle ADE is similar to triangle ABC.
Triangle ABC is isosceles.
Angle A is equal to 30°.
Calculate the size of angle E.
Triangle ADE is similar to triangle ABC.
Triangle ABC is isosceles.
Angle A is equal to 40°.
Calculate angle D.
Triangle ADE is similar to isosceles triangle ABC.
Angle A is equal to 60°.
Calculate angle E.
Triangle ADE is similar to equilateral triangle ABC.
Angle A is equal to 20°.
Calculate angle D.
Triangle DEF is congruent to triangle ABC.
Angle B is equal to 60°.
Angle C is equal to 35°.
What is the size of angle D?
Triangle DEF is congruent to triangle ABC.
Angle A is equal to 60°.
Angle B is equal to 70°.
What is the size of angle F?
Triangle DEF is congruent to triangle ABC.
Angle D is equal to 45°.
Angle F is equal to 65°.
What is the size of angle B?
Triangle DEF is congruent to triangle ABC.
Angle A is equal to 70°.
Angle C is equal to 55°.
What is the size of angle E?
Triangle ADE is similar to equilateral triangle ABC.
Angle A is equal to 20°.
Calculate angle D.
Triangle DEF is congruent to triangle ABC.
Angle B is equal to 60°.
Angle C is equal to 35°.
What is the size of angle D?
°
Triangle DEF is congruent to triangle ABC.
Angle A is equal to 60°.
Angle B is equal to 70°.
What is the size of angle F?
°
Triangle DEF is congruent to triangle ABC.
Angle D is equal to 45°.
Angle F is equal to 65°.
What is the size of angle B?
°
Triangle DEF is congruent to triangle ABC.
Angle A is equal to 70°.
Angle C is equal to 55°.
What is the size of angle E?
°
Triangle DEF is congruent to triangle ABC.
Angle B is equal to 60°.
Angle C is equal to 75°.
What is the size of angle D?
Triangle DEF is congruent to triangle ABC.
Angle B is equal to 60°.
Angle C is equal to 75°.
What is the size of angle D?
°