Congruence, Similarity and Circle Theorems flashcards
31 practice cards drawn from the Congruence, Similarity and Circle Theorems lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Congruence, Similarity and Circle Theorems lessons in full →
In two triangles, all three angles match, and no side is known. Are the triangles congruent?
not necessarily
from “Congruence Tests”
Which congruence test is right angle, hypotenuse and one side?
RHS
from “Congruence Tests”
Two similar triangles, scale factor 2. A side of 5 matches which length?
10
from “Similarity Conditions”
Two similar triangles, scale factor 5. A side of 3 matches which length?
15
from “Similarity Conditions”
The midline measures 9 cm. The side it runs parallel to?
18 cm
from “The Midpoint Theorem”
The third side is 12 cm. The midline joining the two midpoints?
6 cm
from “The Midpoint Theorem”
Two similar shapes, scale factor 2. Area 7 becomes what?
28
from “Ratio of Areas”
Two similar shapes, scale factor 4. Area 5 becomes what?
80
from “Ratio of Areas”
Two similar solids, scale factor 2. Volume 9 becomes what?
72
from “Ratio of Volumes”
Two similar solids, scale factor 2. Volume 5 becomes what?
40
from “Ratio of Volumes”
One angle is 55°. What is the third angle?
35
from “Angle in a Semicircle”
One angle is 35°. What is the third angle?
55
from “Angle in a Semicircle”
What is the marked part of this circle called?
sector
from “Chords, Arcs, Sectors and Segments”
A sector has angle 180° and radius 6. What is its area?
from “Arcs and Sectors”
A sector has angle 90° and radius 8. How long is its arc?
from “Arcs and Sectors”
Segment area, to 1 decimal place: r = 8 cm, angle 90°
18.3
from “The Area of a Segment”
A sector of area 28.3 cm² holds a triangle of area 18 cm². The segment?
10.3
from “The Area of a Segment”
The angle at the center is 54°. What is the angle at the circumference?
27°
from “Angle at the Center”
The angle at the circumference is 26°. What is the angle at the center?
52°
from “Angle at the Center”
P and Q stand on the same arc. Angle at P is 69°. What is the angle at Q?
69°
from “Angles in the Same Segment”
P and Q stand on the same arc. Angle at P is 52°. What is the angle at Q?
52°
from “Angles in the Same Segment”
A cyclic quadrilateral has one angle of 137°. What is the opposite angle?
43°
from “Cyclic Quadrilaterals”
A cyclic quadrilateral has one angle of 125°. What is the opposite angle?
55°
from “Cyclic Quadrilaterals”
One tangent from an outside point is 14. How long is the other?
14
from “Tangent Properties”
One tangent from an outside point is 7. How long is the other?
7
from “Tangent Properties”
The angle between a tangent and a chord equals the angle…?
in the alternate segment
from “The Alternate Segment Theorem”
The tangent-chord angle at P is 55°. What is the angle at R, in the alternate segment?
55°
from “The Alternate Segment Theorem”
Which pair of triangles proves the two halves equal?
the two radius triangles beside the perpendicular
from “Chords and the Center”
How far from the center do two equal chords of one circle sit?
the same distance
from “Chords and the Center”
Opposite angles of a cyclic quadrilateral are 3x − 20 and 2x + 30. Find x.
34
from “Circle Theorems with Algebra”
The angle at the center is x + 80 and the angle at the rim is 3x − 10. Find x.
20
from “Circle Theorems with Algebra”