Congruence
Two triangular road signs are made so that their corresponding angles are equal. In one sign, two angles measure 70 and 60. In the other sign, one angle measures 70 and another measures 50.
What is the value of x, the third angle in the second sign?
50
Two right triangles are similar. In the larger triangle, the legs are 6cm and 8cm. In the smaller triangle, one leg is 3cm.
What is the length of the other leg in the smaller triangle?
4cm
A ladder is learning against a wall and makes a 30 angle with the ground. The ladder is 2 meters long ( the hypotenuse).
How high up the wall does the ladder reach?
1m
A circular garden has a radius of 7cm.
What is the circumference of the garden?
(Use 3.14 = 22/7)
44cm
A cube- shaped gift bow has side lengths 4cm.
What is the surface are of the box?
96cm2
Two triangular tiles are shaped so that they are congruent. One tile has side lengths 12cm, 8cm, and 15cm. The other tile has side lengths 8cm, 15cm, and (x) cm.
What is the value of x?
15
Two similar triangles have perimeters of 18cm and 34cm. In the larger triangle, one side is 15cm.
What is the corresponding side lengths in the smaller triangle?
11.25cm
A ramp is built to load a box onto a truck. The ramp makes a 30 angle with the ground and the length of the ramp is 14 meters.
What is the vertical height from the ground to the truck bed?
7m
A circular pizza has a diameter of 18cm.
254.34cm2
A rectangular prism box has lengths 8cm, width 5cm, and height 12cm.
What is the volume of the box?
480cm3
Two triangular frames are congruent. One has side lengths 5x - 2, 3x + 4, and 2x + 7. The other has side lengths 13, 16, and 11.
What is the value of x.
x = 3
Two similar triangles have perimeter of 27cm and 45cm. In the larger triangle, one side is 9cm.
What is the corresponding side lengths in the smaller triangle.
5.4cm
From the top of a 14-meter tall building, the angle of depression to a point on the ground is 30.
How far is the point on the ground from the base of the building?
7(sqrt)3 m ((congruent)12.12m)
A circular park has a radius of 10cm. A path around the park is a sector with a central angle of 120.
What is the are of the path?
(Use 3.14)
104.67cm2
A cylinder-shaped can has radius 6cm and height 10cm.
What is the total surface area of the can?
(Use 3.14)
603.19cm2