📐 geometry

1. The problem asks to identify the congruence criteria for the given triangles in part (a). 2. In part (a), triangles ABC and EFD are shown with two pairs of sides marked congruen

1. **Problem statement:** A right triangle with hypotenuse $\sqrt{3}$ meters is revolved about one of its legs to form a right circular cone. We need to find the radius $r$, height

1. **Problem:** Find the area of an isosceles triangle with two equal sides of length 5 cm each and the unequal side of length 8 cm. 2. **Formula:** The area of a triangle can be f

1. **State the problem:** We need to find the lateral surface area of a square pyramid with base side length $3.11$ m and height $7.22$ m. 2. **Formula for lateral surface area of

1. **State the problem:** Find the total surface area of a cone with radius $r=3.78$ m and height $h=2.15$ m. 2. **Formula:** The total surface area $A$ of a cone is given by:

1. **Problem Statement:** Understand and practice concepts on Points, Lines & Planes, Angles, Angles formed by two parallel lines, Introduction to Geometrical Construction, Perpend

1. **Stating the problem:** We are asked to find the length of the shadow of the object AB, which is the distance between points A' and B' on the ground line (Garis g).

1. **Stating the problem:** Given a circle with chord AB = 7 cm, and segments BE = 5 cm, DE = 6 cm, find the length of CD.

1. **Stating the problem:** We are given two chords intersecting inside a circle with lengths AE = 5 cm, CE = 8 cm, DE = 10 cm, and BE = (x + 1) cm. We need to find the value of $x

1. **Problem Statement:** Determine which lines are perpendicular based on the given graph. 2. **Recall the rule for perpendicular lines:** Two lines are perpendicular if the produ

1. The problem is to understand what perpendicular lines are. 2. Perpendicular lines are two lines that intersect at a right angle, which means they meet at an angle of 90 degrees.

1. **State the problem:** Determine which lines among A, B, and C are parallel or perpendicular based on their slopes. 2. **Recall the rules:**

1. **Problem Statement:** We are given a quadrilateral PNOR with two triangles PQR and QRO inside it. The lengths are QN = 8.2, RO = 10.9, and PQ = 9.8. We need to find the length

1. **Problem Statement:** We have two triangles, RST and UVT, with UV parallel to RS. Given lengths are UV = 18.2, VT = 14.5, VS = 17.5, and RU = x. We need to find the value of x.

1. **Problem statement:** We have two triangles, UVT and RST, where UV is parallel to RS. We need to find the length $x = RU$. 2. **Key concept:** When a line is drawn parallel to

1. **State the problem:** Quadrilateral LMNO is similar to quadrilateral PQRS. Given sides LM = 4, MN = 3, and SR = 7.5, find the length of side SP. 2. **Recall the property of sim

1. **State the problem:** We have two similar triangles, CDE and FGH. We know sides CD = 6, CE = 10.8 in triangle CDE, and side GH = 18 in triangle FGH. We need to find side HF. 2.

1. **Problem:** Given $m(\angle A) = 70^\circ$ and $\angle A$ is complementary to $\angle B$, find the measure of $\angle B$. 2. **Formula:** Complementary angles sum to $90^\circ$

1. **State the problem:** We need to find the volume of a rectangular pyramid with base length $l=6$ cm, base width $w=8$ cm, and height $h=5$ cm. 2. **Formula:** The volume $V$ of

1. مسئله: در مستطیل طلایی نسبت طول به عرض مستطیل را بیابید. 2. تعریف مستطیل طلایی: نسبت طول به عرض برابر با عدد طلایی $\phi = \frac{1+\sqrt{5}}{2}$ است.

1. **State the problem:** We have a right-angled triangle ABC with right angle at C.